The document describes an algorithm for dual vertical axis charts that more accurately represents data relationships compared to Excel's approach. It presents examples where Excel's algorithm misleads viewers by making decreases or increases appear similar in size when they are not. The key steps of Graphician's algorithm are to: 1) Set the axis limits based on the data set with the larger percentage change. 2) Adjust one limit of the other axis to match the percentage change scale. This allows changes of different magnitudes to be clearly distinguished on the chart.
Have you ever wonder how Excel sets the upper limit and the lower limit on th...Jennifer ChiaYu Lin
#Data Visualization #algorithm #Infographic
Have you ever wonder how Excel sets the upper limit and the lower limit on the vertical axis of a chart? And how this may lead to a misleading chart?
In my own case, I have not, until one day I found an obvious mistake on Excel’s dual vertical axes chart.
The mistake is resulted from that Excel does not have an algorithm that can address the most important and inevitable question for dual vertical axes charts: “How to set the upper limits and the lower limits on the TWO vertical axes?”. In fact, Excel simply adopts the same algorithm used for its single vertical axis chart on each vertical axis separately. And thus the elongations of the two axes are not coordinated to be the same, which leads to its misleading dual vertical axes charts.
To solve this critical mistake, Graphician invented a patented algorithm that can create 100% correct dual vertical axes chart. And we have also created a trial Excel Add-in which can adjust any dual vertical axes chart created by Excel 2007 or an advanced version with one single click.
You can now download the Add-in at http://www.graphician.com/patent-01.html. We hope you find the Add-in interesting and useful, and we would love to hear your comment about it if any. You may contact us at graphician1122@gmail.com or visit our website: "www.graphician.com" to find more information.
- The document discusses matrices, including definitions, operations, and examples of matrix addition, subtraction, transposition, and multiplication. It also covers linear programming, defining it as a method to optimize a mathematical model to achieve the best outcome.
- Key concepts covered include the definitions of a matrix and its elements, how to perform basic operations like addition and subtraction on matrices, and how matrices are multiplied using the dot product of rows and columns. Linear programming is introduced as a method using linear relationships to find the maximum or minimum value of an objective function.
The document discusses four basic mathematical operations: addition, subtraction, multiplication, and division. It provides examples of each operation, showing how to write them using symbols like +, -, x, and ÷. For addition, it gives examples like 7 + 8 = 15 and 50 + 3 = 53. For subtraction, examples are 10 - 15 = -5 and 67 - 20 = 47. Multiplication examples include 6 x 10 = 60 and 9 x 2 = 18. Division is shown as 30 ÷ 6 = 5.
I am Walker D. I am a Civil and Environmental Engineering assignment Expert at statisticsassignmenthelp.com. I hold a Ph.D. in Civil and Environmental Engineering. I have been helping students with their homework for the past 8 years. I solve assignments related to Civil and Environmental Engineering Assignment. Visit statisticsassignmenthelp.com or email info@statisticsassignmenthelp.com.
You can also call on +1 678 648 4277 for any assistance with Civil and Environmental Engineering assignments.
This document provides an example of simple linear regression with one independent variable. It explains that linear regression finds the line of best fit by estimating values for the slope (b1) and y-intercept (b0) that minimize the sum of the squared errors between the observed data points and the regression line. It provides the formulas for calculating the least squares estimates of b1 and b0. The document includes a table of temperature and sales data and a corresponding scatter plot as an example of simple linear regression analysis.
The document discusses demand functions and supply functions. It provides examples of demand functions with different slopes:
1) Negative slope - as price increases, demand decreases.
2) Constant slope - a change in demand does not affect price.
3) Undefined slope - demand is not affected by price.
4) Increasing slope - demand increases as price increases.
It also discusses cases of supply functions with positive, constant, or negative slopes and how quantity supplied relates to price in each case. Examples are provided of constructing a demand equation from data points and using the equation to solve for price, demand, or other variables.
The document defines linear programming as a branch of mathematics used to find the optimal solution to problems with constraints. It provides examples of using linear programming to maximize profit or minimize costs in organizations. It also introduces drawing linear inequalities and solving simultaneous inequalities. The steps to formulate a linear programming problem are identified as defining variables and objectives, translating constraints, finding feasible solutions, and evaluating objectives to find optimal solutions.
This document discusses different types of mathematical modeling including linear, quadratic, logistic, and exponential models. It describes regression modeling as developing an equation of a curve that best fits a set of known data points using the least squares method to minimize errors between the actual data points and the curve. Specifically, it covers linear regression by fitting an equation of a line through data points, and quadratic regression by using an equation of a parabola to better predict data points that follow a parabolic path.
Have you ever wonder how Excel sets the upper limit and the lower limit on th...Jennifer ChiaYu Lin
#Data Visualization #algorithm #Infographic
Have you ever wonder how Excel sets the upper limit and the lower limit on the vertical axis of a chart? And how this may lead to a misleading chart?
In my own case, I have not, until one day I found an obvious mistake on Excel’s dual vertical axes chart.
The mistake is resulted from that Excel does not have an algorithm that can address the most important and inevitable question for dual vertical axes charts: “How to set the upper limits and the lower limits on the TWO vertical axes?”. In fact, Excel simply adopts the same algorithm used for its single vertical axis chart on each vertical axis separately. And thus the elongations of the two axes are not coordinated to be the same, which leads to its misleading dual vertical axes charts.
To solve this critical mistake, Graphician invented a patented algorithm that can create 100% correct dual vertical axes chart. And we have also created a trial Excel Add-in which can adjust any dual vertical axes chart created by Excel 2007 or an advanced version with one single click.
You can now download the Add-in at http://www.graphician.com/patent-01.html. We hope you find the Add-in interesting and useful, and we would love to hear your comment about it if any. You may contact us at graphician1122@gmail.com or visit our website: "www.graphician.com" to find more information.
- The document discusses matrices, including definitions, operations, and examples of matrix addition, subtraction, transposition, and multiplication. It also covers linear programming, defining it as a method to optimize a mathematical model to achieve the best outcome.
- Key concepts covered include the definitions of a matrix and its elements, how to perform basic operations like addition and subtraction on matrices, and how matrices are multiplied using the dot product of rows and columns. Linear programming is introduced as a method using linear relationships to find the maximum or minimum value of an objective function.
The document discusses four basic mathematical operations: addition, subtraction, multiplication, and division. It provides examples of each operation, showing how to write them using symbols like +, -, x, and ÷. For addition, it gives examples like 7 + 8 = 15 and 50 + 3 = 53. For subtraction, examples are 10 - 15 = -5 and 67 - 20 = 47. Multiplication examples include 6 x 10 = 60 and 9 x 2 = 18. Division is shown as 30 ÷ 6 = 5.
I am Walker D. I am a Civil and Environmental Engineering assignment Expert at statisticsassignmenthelp.com. I hold a Ph.D. in Civil and Environmental Engineering. I have been helping students with their homework for the past 8 years. I solve assignments related to Civil and Environmental Engineering Assignment. Visit statisticsassignmenthelp.com or email info@statisticsassignmenthelp.com.
You can also call on +1 678 648 4277 for any assistance with Civil and Environmental Engineering assignments.
This document provides an example of simple linear regression with one independent variable. It explains that linear regression finds the line of best fit by estimating values for the slope (b1) and y-intercept (b0) that minimize the sum of the squared errors between the observed data points and the regression line. It provides the formulas for calculating the least squares estimates of b1 and b0. The document includes a table of temperature and sales data and a corresponding scatter plot as an example of simple linear regression analysis.
The document discusses demand functions and supply functions. It provides examples of demand functions with different slopes:
1) Negative slope - as price increases, demand decreases.
2) Constant slope - a change in demand does not affect price.
3) Undefined slope - demand is not affected by price.
4) Increasing slope - demand increases as price increases.
It also discusses cases of supply functions with positive, constant, or negative slopes and how quantity supplied relates to price in each case. Examples are provided of constructing a demand equation from data points and using the equation to solve for price, demand, or other variables.
The document defines linear programming as a branch of mathematics used to find the optimal solution to problems with constraints. It provides examples of using linear programming to maximize profit or minimize costs in organizations. It also introduces drawing linear inequalities and solving simultaneous inequalities. The steps to formulate a linear programming problem are identified as defining variables and objectives, translating constraints, finding feasible solutions, and evaluating objectives to find optimal solutions.
This document discusses different types of mathematical modeling including linear, quadratic, logistic, and exponential models. It describes regression modeling as developing an equation of a curve that best fits a set of known data points using the least squares method to minimize errors between the actual data points and the curve. Specifically, it covers linear regression by fitting an equation of a line through data points, and quadratic regression by using an equation of a parabola to better predict data points that follow a parabolic path.
Elizabeth Buompensiero has over 30 years of experience in leadership, business development, accounts payable, accounts receivable, customer service, and delivery. She has strong communication, organization, and problem-solving skills. Her experience includes processing accounts, collections, customer service, and administrative roles for various companies. She is proficient in accounting software such as QuickBooks, Sage 50 Peachtree, and SAP.
This document contains a summary of the state of black communities in the Midwest written by Zachariah Y. Oluwa Bankole. It discusses the history of economic prosperity and unity within black communities, such as "Black Wall Street" in Tulsa, Oklahoma in the early 20th century. However, it notes that currently black communities suffer from a lack of their own institutions and togetherness. It argues that greater economic cooperation and support of black-owned organizations is needed to improve conditions and empower black communities.
El documento describe una visita a una biblioteca escolar y una evaluación de sus instalaciones y servicios. Se identifican varias áreas de mejora como el acceso para discapacitados, la falta de señalización y mobiliario más cómodo. Se propone mejorar la accesibilidad, ambientación y promoción de la lectura en la biblioteca de acuerdo con los principios de diseño bibliotecario.
Истинные отношения, которые делают СИЛЬНЫМ и ВЕЧНЫМ союз истинно верно выстраиваются только так. Это верные взаимоотношения истинной Мужественности и Женственности.
ТриНИТИ ТАН
Автор и Идейный Вдохновитель проекта ИГРЫ БОГОВ
Проявление целостности энергии во взаимоотношениях мужчины и женщины.
Гармония энергии мужественности и женственности.
Корни дисгармонии или как можно уничтожить настоящего мужчину или женщину.
ВАЖНО: Нереализованные внутренние потребности всегда способствуют разрыву отношений. Свободу человека в определённых рамках не удержат ни правила, ни устои. Её возможно только правильно энергетически подпитать.
ВАЖНО: Научившись принимать дары, восхищаясь мужчиной, вы из любого мужчины сотворите Бога, и в этом таится основа взаимодействия энергий мужского и женского начала.
В чем истинная сила Союза мужчины и женщины.
ПРЕДОСТЕРЕЖЕНИЕ: Вы оба должны быть внутренне свободными. Не привязывайтесь к нему так, чтобы зависеть от его любви. То есть выстраивайте свою энергетику правильно, и он будет оставаться с вами всегда.
Заключение.
The Demise of Commercial Fishing: Modernizing the Regulatory ApparatusBranden Cordeiro
This document summarizes a research project exploring the impacts of environmental regulations on the commercial fishing industry. The goal is to prove overregulation has contributed to the decline of commercial fishing and find solutions. Regulations often fail to consider economic impacts on fishermen. The research focuses on regulations in New England, Atlantic Canada, and Alaska and their economic effects. It analyzes current regulatory approaches and proposes alternative market-based systems and increased fishermen input to balance environmental and economic concerns.
Rossouw Malan has over 16 years of experience working for Telkom in various roles. He has worked on different radio systems including RURTEL, DECT, IRT, DRMASS, and CT2. He has 9 years of experience replacing and recovering equipment on towers between 35m and 100m tall. He is a fast learner who is not afraid to ask for assistance. He has competency in systems like NG, SXA, Martis, IRT 4000, ADM, and FSP 3000. He also has training in courses relevant to telecommunications work.
Charlene Botha is a 39-year-old receptionist and office administrator seeking employment. She has over 20 years of experience in administrative roles, including reception, personal assistance, accounts, and warehouse operations. Her most recent role was as an Administration Clerk at Value Logistics since 2015. She has extensive computer skills and qualifications in Microsoft Office, accounting software, and warehouse systems. References are available from her previous employers.
Beth Johnson is seeking a position as a Food Service Director in a school food service system. She has over 10 years of experience in food service management, most recently as a Retail Food Service Manager at Massachusetts General Hospital where she co-managed daily operations of a high volume café and satellite cafeteria. Her experience also includes overseeing accounting procedures, scheduling, hiring, training, and ensuring high customer service and food safety standards. She has a Bachelor's degree in Food and Nutrition and is a certified ServSafe manager.
This document presents an overview of an online digital advertising system for public displays. It discusses the client-server architecture of the system, where administrators act as the central server and both users and public displays act as clients. The system allows users to request advertisements through a web portal, which are then displayed on public screens. It aims to overcome the drawbacks of traditional advertising systems like wasted resources. The document describes the requirements, implementation including the user interfaces, and workflow for both the client and server components. It also discusses existing online advertising systems and sees opportunities for future enhancement.
The applicant is applying for a position as a veterinarian. He has a Doctor of Veterinary Medicine degree from Hawassa University in Ethiopia with excellent grades. His experience includes 7 months as an urban agriculture officer and current work as a sales representative and farm advisor for a feed company. He has strong skills in animal health, production, and farm management. He is interested in livestock production, development, and environmental health protection.
Este documento describe el aprendizaje autónomo, que permite a las personas dirigir su propio desarrollo eligiendo estrategias e instrumentos para aprender de manera independiente. Los objetivos incluyen promover el aprendizaje centrado en procesos intelectuales y comunicativos, y buscar eficazmente información de diversas fuentes. Las ventajas son fomentar la curiosidad y la auto disciplina, mientras que las desventajas pueden ser información no confiable y distracciones. La función principal del autoaprendizaje es aprender nuevas
Este documento describe los trastornos alimenticios, incluyendo sus causas, tipos y tratamiento. Los trastornos alimenticios son enfermedades mentales que afectan el cuerpo y se caracterizan por insatisfacción corporal y pensamientos distorsionados sobre la comida y el cuerpo. Algunos factores que los causan son biológicos, psicológicos, familiares y sociales. Los principales tipos son la anorexia nerviosa, la bulimia nerviosa, la vigorexia y el trastorno por atracon
Vince Pizzoni reflects on his varied career path spanning multiple industries and roles. He held positions in engineering, research, operations management, business development, and executive search. Pizzoni advises taking control of your own career, understanding that careers are nonlinear and early roles may not define your future. He also recommends gaining international experience, always planning ahead, cultivating mentors and networks, and keeping an up-to-date CV to capitalize on new opportunities.
Amina Zaher's fashion portfolio includes work with various fashion brands and magazines. She has experience assisting designers like Vivian Moawad and Nada Akram, and has worked on campaigns and shoots for publications like BLK99 Magazine, Seethru Magazine, and Luxury Magazine. The portfolio highlights her experience styling models and assisting other professionals in the fashion industry.
Trabajo desarrollado con el fin de orientar y conocer la funcionalidad de los entornos que utiliza la plataforma virtual de la UNAD, para desarrollar los cursos (Ingles I).
DACH SERVICIOS GENERALES S.R.L. es una empresa constructora con más de 30 años de experiencia. Ofrece servicios de ingeniería, construcción, supervisión y gerenciamiento de proyectos. Ha completado obras como puentes, túneles, muros de contención, edificios industriales y residenciales. Su objetivo es brindar soluciones de calidad en la industria de la construcción.
Solution manual for essentials of business analytics 1st editorvados ji
Full download link :
https://getbooksolutions.com/download/solution-manual-for-essentials-of-business-analytics-1st-edition/
Detail about Essentials of Business : (Click link bellow to view example )
https://getbooksolutions.com/wp-content/uploads/2016/11/Solution-Manual-for-Essentials-of-Business-Analytics-1st-editor.pdf
Table of Contents
Chapter 1. What Is Business Analytics?
Chapter 2. Descriptive Statistics.
Chapter 3. Data Visualization.
4. Linear Regression.
5. Time Series Analysis and Forecasting.
6. Data Mining.
7. Spreadsheet Models.
8. Linear Optimization Models.
9. Integer Linear Optimization.
10. Nonlinear Optimization Models.
11. Monte Carlo Simulation.
12. Decision Analysis.
Sheet1ASSIGNMENTBeeGee Company, operating at full capacity, sold 1.docxbagotjesusa
Sheet1ASSIGNMENTBeeGee Company, operating at full capacity, sold 150,000 units at a price of $116 per unit duringthe current year. Its income statement is as follows:Sales$17,400,000 Cost of Goods Sold6,000,000Gross Profit$11,400,000ExpensesSelling Expenses$4,000,000Administrative Expenses3,000,000 Total Expenses7,000,000Income from Operations$4,400,000ConsiderationManagement is considering a plant expansion program for the following year that will permit an increaseof $3,625,000 in yearly sales. The expansion will increase fixed costs by $1,000,000 but will not affectthe relationship between sales and variable costs.The division of costs between variable and fixed is as follows:VariableFixedCost of goods sold80%20%Selling expenses75%25%Administrative expenses70%30%Required:1. Determine the total varible costs and the total fixed costs for the current year?2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year?a.b. $503. Compute the break-even sales (units) for the current year?4. Compute the break-even sales (units) under the proposed program for the following year?5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $4,400,000 of income from operations that was earned in the current year.6. Determine the maximum income from operations possible with the expanded plant.7. If the proposal is accepted and sales remain at the current level, what will the income or loss from operations be for the following year?8. Based on the data given, would you recommend accepting the proposal? Explain.
Select the rows and columns of the first table from market research document then copy and paste it into Excel worksheet.
Begin by selecting the data in the two columns. Then, click on the Insert tab on the Ribbon and locate the Charts section. Click on the button labeled Scatter and then select the button from the menu titled scatter with straight lines and markers. Please, See Figure 1 and Figure 2.
Figure 1
Figure 2
After you have made a scatter plot of the six data points. Now label the graph as follows: Make the number of loaves sold as your x-coordinate and the price of the item as your y-coordinate. Also, give a title to your graph, for example “Demand Function” would be a good title for your graph. See Figure 3 and Figure 4
Figure 3
Figure 4
Add a Trendline to Excel
Now that you have a scatter plot in your Excel worksheet, you can now add your trendline. Begin by clicking once on any data point in your scatter plot. This can be tricky because there are many elements of the chart you can click on and edit. You will know that you have selected the data point when all of the data points are selected. Once you have selected the data points, right click on any one data point and choose Add a Trendline from the menu. See Figure 5 and Figure 6
Figure 5
You should now be looking at the Format Trendline window. This window contains many opt.
1) The document contains exercises and solutions from Chapter 8 of the textbook "Stock/Watson - Introduction to Econometrics - 3rd Updated Edition".
2) The exercises cover topics such as percentage changes, linear regression, log-linear regression, and nonlinear regression models.
3) The solutions analyze regression outputs, test hypotheses, and discuss how to extend regression models to account for additional variables or functional forms.
Using Microsoft Excel for Weibull Analysis by William DornerMelvin Carter
I placed the original Quality Digest article (1/1/1999) in Word to clarify the equations used to perform analysis on a data set have Weibull distribution characteristics.
PA 1c. Decision VariablesabcdCalculated values0.21110.531110.09760.docxgerardkortney
PA 1c. Decision VariablesabcdCalculated values0.21110.531110.09760.16019TotalObjective Function0.860.940.930.850.90772Constraints1111110.774-0.094-0.093-0.0850.09077>=0-0.0860.846-0.093-0.0850.40847>=0-0.086-0.0940.837-0.0851.90E-17>=0-0.086-0.094-0.0930.7650.04539>=00.94-2.790.22693>=00.86-1.86-2.00E-16>=0-0.129-0.141-0.13950.72256.90E-17>=0
a.
Let the weights be a, b, c and d to midterm, final, individual assignment and Participation respectively.
Korey would like to maximize the course grade. Therefore the course grade (Maximization):
=0.86a + 0.94b + 0.93c + 0.85d
Restrictions to course grade working: a+b+c+d=1
The weights must be non-negative, Non negativity constraints: a, b, c, d ≥ 0
The four components for each should determine 10% of the sum of the grade at least.
0.86a ≥ 0.1 (0.86a + 0.94b + 0.93c + 0.85d)
0.86a ≥ 0.086a + 0.094b + 0.093c + 0.085d
0.774a – 0.094b – 0.093c -0.085d ≥ 0
0.94b ≥ 0.1 (0.86a + 0.94b + 0.93c + 0.85d)
0846b ≥ 0.086a + 0.094b + 0.093c + 0.085d
0.846b – 0.086a – 0.093c – 0.085d ≥ 0
0.93c ≥ 0.1 (0.86a + 0.94b + 0.93c + 0.85d)
0.93c ≥ 0.086a +0.094b +0.093c + 0.085d
0.837c – 0.086a – 0.094b – 0.085d ≥ 0
0.85d ≥ 0.1 (0.86a + 0.94b + 0.93c + 0.85d)
0.85d ≥ 0.086a + 0.094b + 0.093c + 0.085d
0.765d – 0.086a – 0.094b – 0.093c ≥ 0
Here it is three times the particular assignment grade.
0.94b ≥ 3(0.93c)
0.94b ≥ 2.79c
0.94b – 2.79c ≥ 0
Midterm grade must count at least twice as much as the individual assignment score.
0.86a ≥ 2(0.93c)
0.86a ≥ 1.86c
0.86a – 1.86c ≥ 0
The presence of the grade should be less than the 15% of the whole grade.
0.85d ≤ 0.15(0.86a + 0.94b +0.93c +0.85d)
0.85d ≤ 0.129a + 0.141b +0.1395c + 0.1275d
0.7225d – 00.129a – 0.141b – 0.1395c ≥ 0
b.
The complete optimization model is Course grade (Maximization):
= 0.86a + 0.94b + 0.93c + 0.85d
a+b+c+d=1
0.774a – 0.094b - 0.093c – 0.085d ≥ 0
0.846b – 0.086a – 0.093c – 0.085d ≥ 0
0.837c – 0.086a – 0.094b – 0.085d ≥ 0
0.765d – 0.086a – 0.094b – 0.093c ≥ 0
0.94b – 2.79c ≥ 0
0.86a – 1.86c ≥ 0
0.7225d – 0.129a – 0.141b – 0.1395c ≥ 0
c.
Therefore midterm weights should be 21%, final weights 53%, individual assignment 10%, Participation should be 16%.
The maximum course grade is 90%.
PA 5b.Rosenberg Land DevelopmentDataOneTwoThreeBedroomBedroomBedroomUnitUnitUnit1BR2BR3BRAvailableConstruction cost$450,000$600,000$750,000$180,000,000Total units325Profit/ unit$45,000$60,000$75,000Minimum15%25%25%ModelTotalUnits Build4067162270Minimum406767Construction cost$18,202,247$40,449,438$121,348,315$180,000,000Contribution in profit$1,820,225$4,044,944$12,134,831$18,000,000c.ModelTotalUnits Build4981195325Minimum498181Construction cost$21,937,500$48,750,000$146,250,000$216,937,500Contribution in profit$2,193,750$4,875,000$14,625,000$21,693,750
a.
1BR = number of one bedroom units produced
2BR = number of two bedroom units produced
3BR = number of three bedroom units produced
Maximize Total Profit = $45,000 (1BR) + $60,000 (2BR) + $75,000 (3BR)
(1BR) + (2BR) + (.
Elizabeth Buompensiero has over 30 years of experience in leadership, business development, accounts payable, accounts receivable, customer service, and delivery. She has strong communication, organization, and problem-solving skills. Her experience includes processing accounts, collections, customer service, and administrative roles for various companies. She is proficient in accounting software such as QuickBooks, Sage 50 Peachtree, and SAP.
This document contains a summary of the state of black communities in the Midwest written by Zachariah Y. Oluwa Bankole. It discusses the history of economic prosperity and unity within black communities, such as "Black Wall Street" in Tulsa, Oklahoma in the early 20th century. However, it notes that currently black communities suffer from a lack of their own institutions and togetherness. It argues that greater economic cooperation and support of black-owned organizations is needed to improve conditions and empower black communities.
El documento describe una visita a una biblioteca escolar y una evaluación de sus instalaciones y servicios. Se identifican varias áreas de mejora como el acceso para discapacitados, la falta de señalización y mobiliario más cómodo. Se propone mejorar la accesibilidad, ambientación y promoción de la lectura en la biblioteca de acuerdo con los principios de diseño bibliotecario.
Истинные отношения, которые делают СИЛЬНЫМ и ВЕЧНЫМ союз истинно верно выстраиваются только так. Это верные взаимоотношения истинной Мужественности и Женственности.
ТриНИТИ ТАН
Автор и Идейный Вдохновитель проекта ИГРЫ БОГОВ
Проявление целостности энергии во взаимоотношениях мужчины и женщины.
Гармония энергии мужественности и женственности.
Корни дисгармонии или как можно уничтожить настоящего мужчину или женщину.
ВАЖНО: Нереализованные внутренние потребности всегда способствуют разрыву отношений. Свободу человека в определённых рамках не удержат ни правила, ни устои. Её возможно только правильно энергетически подпитать.
ВАЖНО: Научившись принимать дары, восхищаясь мужчиной, вы из любого мужчины сотворите Бога, и в этом таится основа взаимодействия энергий мужского и женского начала.
В чем истинная сила Союза мужчины и женщины.
ПРЕДОСТЕРЕЖЕНИЕ: Вы оба должны быть внутренне свободными. Не привязывайтесь к нему так, чтобы зависеть от его любви. То есть выстраивайте свою энергетику правильно, и он будет оставаться с вами всегда.
Заключение.
The Demise of Commercial Fishing: Modernizing the Regulatory ApparatusBranden Cordeiro
This document summarizes a research project exploring the impacts of environmental regulations on the commercial fishing industry. The goal is to prove overregulation has contributed to the decline of commercial fishing and find solutions. Regulations often fail to consider economic impacts on fishermen. The research focuses on regulations in New England, Atlantic Canada, and Alaska and their economic effects. It analyzes current regulatory approaches and proposes alternative market-based systems and increased fishermen input to balance environmental and economic concerns.
Rossouw Malan has over 16 years of experience working for Telkom in various roles. He has worked on different radio systems including RURTEL, DECT, IRT, DRMASS, and CT2. He has 9 years of experience replacing and recovering equipment on towers between 35m and 100m tall. He is a fast learner who is not afraid to ask for assistance. He has competency in systems like NG, SXA, Martis, IRT 4000, ADM, and FSP 3000. He also has training in courses relevant to telecommunications work.
Charlene Botha is a 39-year-old receptionist and office administrator seeking employment. She has over 20 years of experience in administrative roles, including reception, personal assistance, accounts, and warehouse operations. Her most recent role was as an Administration Clerk at Value Logistics since 2015. She has extensive computer skills and qualifications in Microsoft Office, accounting software, and warehouse systems. References are available from her previous employers.
Beth Johnson is seeking a position as a Food Service Director in a school food service system. She has over 10 years of experience in food service management, most recently as a Retail Food Service Manager at Massachusetts General Hospital where she co-managed daily operations of a high volume café and satellite cafeteria. Her experience also includes overseeing accounting procedures, scheduling, hiring, training, and ensuring high customer service and food safety standards. She has a Bachelor's degree in Food and Nutrition and is a certified ServSafe manager.
This document presents an overview of an online digital advertising system for public displays. It discusses the client-server architecture of the system, where administrators act as the central server and both users and public displays act as clients. The system allows users to request advertisements through a web portal, which are then displayed on public screens. It aims to overcome the drawbacks of traditional advertising systems like wasted resources. The document describes the requirements, implementation including the user interfaces, and workflow for both the client and server components. It also discusses existing online advertising systems and sees opportunities for future enhancement.
The applicant is applying for a position as a veterinarian. He has a Doctor of Veterinary Medicine degree from Hawassa University in Ethiopia with excellent grades. His experience includes 7 months as an urban agriculture officer and current work as a sales representative and farm advisor for a feed company. He has strong skills in animal health, production, and farm management. He is interested in livestock production, development, and environmental health protection.
Este documento describe el aprendizaje autónomo, que permite a las personas dirigir su propio desarrollo eligiendo estrategias e instrumentos para aprender de manera independiente. Los objetivos incluyen promover el aprendizaje centrado en procesos intelectuales y comunicativos, y buscar eficazmente información de diversas fuentes. Las ventajas son fomentar la curiosidad y la auto disciplina, mientras que las desventajas pueden ser información no confiable y distracciones. La función principal del autoaprendizaje es aprender nuevas
Este documento describe los trastornos alimenticios, incluyendo sus causas, tipos y tratamiento. Los trastornos alimenticios son enfermedades mentales que afectan el cuerpo y se caracterizan por insatisfacción corporal y pensamientos distorsionados sobre la comida y el cuerpo. Algunos factores que los causan son biológicos, psicológicos, familiares y sociales. Los principales tipos son la anorexia nerviosa, la bulimia nerviosa, la vigorexia y el trastorno por atracon
Vince Pizzoni reflects on his varied career path spanning multiple industries and roles. He held positions in engineering, research, operations management, business development, and executive search. Pizzoni advises taking control of your own career, understanding that careers are nonlinear and early roles may not define your future. He also recommends gaining international experience, always planning ahead, cultivating mentors and networks, and keeping an up-to-date CV to capitalize on new opportunities.
Amina Zaher's fashion portfolio includes work with various fashion brands and magazines. She has experience assisting designers like Vivian Moawad and Nada Akram, and has worked on campaigns and shoots for publications like BLK99 Magazine, Seethru Magazine, and Luxury Magazine. The portfolio highlights her experience styling models and assisting other professionals in the fashion industry.
Trabajo desarrollado con el fin de orientar y conocer la funcionalidad de los entornos que utiliza la plataforma virtual de la UNAD, para desarrollar los cursos (Ingles I).
DACH SERVICIOS GENERALES S.R.L. es una empresa constructora con más de 30 años de experiencia. Ofrece servicios de ingeniería, construcción, supervisión y gerenciamiento de proyectos. Ha completado obras como puentes, túneles, muros de contención, edificios industriales y residenciales. Su objetivo es brindar soluciones de calidad en la industria de la construcción.
Solution manual for essentials of business analytics 1st editorvados ji
Full download link :
https://getbooksolutions.com/download/solution-manual-for-essentials-of-business-analytics-1st-edition/
Detail about Essentials of Business : (Click link bellow to view example )
https://getbooksolutions.com/wp-content/uploads/2016/11/Solution-Manual-for-Essentials-of-Business-Analytics-1st-editor.pdf
Table of Contents
Chapter 1. What Is Business Analytics?
Chapter 2. Descriptive Statistics.
Chapter 3. Data Visualization.
4. Linear Regression.
5. Time Series Analysis and Forecasting.
6. Data Mining.
7. Spreadsheet Models.
8. Linear Optimization Models.
9. Integer Linear Optimization.
10. Nonlinear Optimization Models.
11. Monte Carlo Simulation.
12. Decision Analysis.
Sheet1ASSIGNMENTBeeGee Company, operating at full capacity, sold 1.docxbagotjesusa
Sheet1ASSIGNMENTBeeGee Company, operating at full capacity, sold 150,000 units at a price of $116 per unit duringthe current year. Its income statement is as follows:Sales$17,400,000 Cost of Goods Sold6,000,000Gross Profit$11,400,000ExpensesSelling Expenses$4,000,000Administrative Expenses3,000,000 Total Expenses7,000,000Income from Operations$4,400,000ConsiderationManagement is considering a plant expansion program for the following year that will permit an increaseof $3,625,000 in yearly sales. The expansion will increase fixed costs by $1,000,000 but will not affectthe relationship between sales and variable costs.The division of costs between variable and fixed is as follows:VariableFixedCost of goods sold80%20%Selling expenses75%25%Administrative expenses70%30%Required:1. Determine the total varible costs and the total fixed costs for the current year?2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year?a.b. $503. Compute the break-even sales (units) for the current year?4. Compute the break-even sales (units) under the proposed program for the following year?5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $4,400,000 of income from operations that was earned in the current year.6. Determine the maximum income from operations possible with the expanded plant.7. If the proposal is accepted and sales remain at the current level, what will the income or loss from operations be for the following year?8. Based on the data given, would you recommend accepting the proposal? Explain.
Select the rows and columns of the first table from market research document then copy and paste it into Excel worksheet.
Begin by selecting the data in the two columns. Then, click on the Insert tab on the Ribbon and locate the Charts section. Click on the button labeled Scatter and then select the button from the menu titled scatter with straight lines and markers. Please, See Figure 1 and Figure 2.
Figure 1
Figure 2
After you have made a scatter plot of the six data points. Now label the graph as follows: Make the number of loaves sold as your x-coordinate and the price of the item as your y-coordinate. Also, give a title to your graph, for example “Demand Function” would be a good title for your graph. See Figure 3 and Figure 4
Figure 3
Figure 4
Add a Trendline to Excel
Now that you have a scatter plot in your Excel worksheet, you can now add your trendline. Begin by clicking once on any data point in your scatter plot. This can be tricky because there are many elements of the chart you can click on and edit. You will know that you have selected the data point when all of the data points are selected. Once you have selected the data points, right click on any one data point and choose Add a Trendline from the menu. See Figure 5 and Figure 6
Figure 5
You should now be looking at the Format Trendline window. This window contains many opt.
1) The document contains exercises and solutions from Chapter 8 of the textbook "Stock/Watson - Introduction to Econometrics - 3rd Updated Edition".
2) The exercises cover topics such as percentage changes, linear regression, log-linear regression, and nonlinear regression models.
3) The solutions analyze regression outputs, test hypotheses, and discuss how to extend regression models to account for additional variables or functional forms.
Using Microsoft Excel for Weibull Analysis by William DornerMelvin Carter
I placed the original Quality Digest article (1/1/1999) in Word to clarify the equations used to perform analysis on a data set have Weibull distribution characteristics.
PA 1c. Decision VariablesabcdCalculated values0.21110.531110.09760.docxgerardkortney
PA 1c. Decision VariablesabcdCalculated values0.21110.531110.09760.16019TotalObjective Function0.860.940.930.850.90772Constraints1111110.774-0.094-0.093-0.0850.09077>=0-0.0860.846-0.093-0.0850.40847>=0-0.086-0.0940.837-0.0851.90E-17>=0-0.086-0.094-0.0930.7650.04539>=00.94-2.790.22693>=00.86-1.86-2.00E-16>=0-0.129-0.141-0.13950.72256.90E-17>=0
a.
Let the weights be a, b, c and d to midterm, final, individual assignment and Participation respectively.
Korey would like to maximize the course grade. Therefore the course grade (Maximization):
=0.86a + 0.94b + 0.93c + 0.85d
Restrictions to course grade working: a+b+c+d=1
The weights must be non-negative, Non negativity constraints: a, b, c, d ≥ 0
The four components for each should determine 10% of the sum of the grade at least.
0.86a ≥ 0.1 (0.86a + 0.94b + 0.93c + 0.85d)
0.86a ≥ 0.086a + 0.094b + 0.093c + 0.085d
0.774a – 0.094b – 0.093c -0.085d ≥ 0
0.94b ≥ 0.1 (0.86a + 0.94b + 0.93c + 0.85d)
0846b ≥ 0.086a + 0.094b + 0.093c + 0.085d
0.846b – 0.086a – 0.093c – 0.085d ≥ 0
0.93c ≥ 0.1 (0.86a + 0.94b + 0.93c + 0.85d)
0.93c ≥ 0.086a +0.094b +0.093c + 0.085d
0.837c – 0.086a – 0.094b – 0.085d ≥ 0
0.85d ≥ 0.1 (0.86a + 0.94b + 0.93c + 0.85d)
0.85d ≥ 0.086a + 0.094b + 0.093c + 0.085d
0.765d – 0.086a – 0.094b – 0.093c ≥ 0
Here it is three times the particular assignment grade.
0.94b ≥ 3(0.93c)
0.94b ≥ 2.79c
0.94b – 2.79c ≥ 0
Midterm grade must count at least twice as much as the individual assignment score.
0.86a ≥ 2(0.93c)
0.86a ≥ 1.86c
0.86a – 1.86c ≥ 0
The presence of the grade should be less than the 15% of the whole grade.
0.85d ≤ 0.15(0.86a + 0.94b +0.93c +0.85d)
0.85d ≤ 0.129a + 0.141b +0.1395c + 0.1275d
0.7225d – 00.129a – 0.141b – 0.1395c ≥ 0
b.
The complete optimization model is Course grade (Maximization):
= 0.86a + 0.94b + 0.93c + 0.85d
a+b+c+d=1
0.774a – 0.094b - 0.093c – 0.085d ≥ 0
0.846b – 0.086a – 0.093c – 0.085d ≥ 0
0.837c – 0.086a – 0.094b – 0.085d ≥ 0
0.765d – 0.086a – 0.094b – 0.093c ≥ 0
0.94b – 2.79c ≥ 0
0.86a – 1.86c ≥ 0
0.7225d – 0.129a – 0.141b – 0.1395c ≥ 0
c.
Therefore midterm weights should be 21%, final weights 53%, individual assignment 10%, Participation should be 16%.
The maximum course grade is 90%.
PA 5b.Rosenberg Land DevelopmentDataOneTwoThreeBedroomBedroomBedroomUnitUnitUnit1BR2BR3BRAvailableConstruction cost$450,000$600,000$750,000$180,000,000Total units325Profit/ unit$45,000$60,000$75,000Minimum15%25%25%ModelTotalUnits Build4067162270Minimum406767Construction cost$18,202,247$40,449,438$121,348,315$180,000,000Contribution in profit$1,820,225$4,044,944$12,134,831$18,000,000c.ModelTotalUnits Build4981195325Minimum498181Construction cost$21,937,500$48,750,000$146,250,000$216,937,500Contribution in profit$2,193,750$4,875,000$14,625,000$21,693,750
a.
1BR = number of one bedroom units produced
2BR = number of two bedroom units produced
3BR = number of three bedroom units produced
Maximize Total Profit = $45,000 (1BR) + $60,000 (2BR) + $75,000 (3BR)
(1BR) + (2BR) + (.
This document provides an introduction to a digital design course. It discusses the recommended textbook, course description, grading breakdown, and course outline. The course focuses on fundamental digital concepts like number systems, Boolean algebra, logic gates, combinational and sequential logic. It will cover topics such as binary numbers, Boolean functions, logic gate minimization, adders/subtractors, multiplexers, flip-flops, and finite state machines. Students are expected to attend every lecture and participate in classroom discussions. Grades will be based on projects, midterm exams, and quizzes/assignments.
If you are looking for business statistics homework help, Statisticshelpdesk is your rightest destination. Our experts are capable of solving all grades of business statistics homework with best 100% accuracy and originality. We charge reasonable.
Number systems - Efficiency of number system, Decimal, Binary, Octal, Hexadecimalconversion
from one to another- Binary addition, subtraction, multiplication and division,
representation of signed numbers, addition and subtraction using 2’s complement and I’s
complement.
Binary codes - BCD code, Excess 3 code, Gray code, Alphanumeric code, Error detection
codes, Error correcting code.Deepak john,SJCET-Pala
This document outlines the key concepts and formulas in business statistics across 5 units. Unit 1 covers definitions of statistics, primary and secondary data collection methods, questionnaires, tabulation, classification and scheduling. Unit 2 covers measures of central tendency. Unit 3 covers measures of dispersion. Unit 4 covers correlation and regression. Unit 5 covers index numbers, time series analysis, seasonal and cyclical variations. It also provides example problems for each unit to practice applying the statistical concepts.
This document contains instructions for a mathematics exam, including:
- The exam consists of multiple choice, true/false, and short answer questions worth a total of 100 points.
- No books, notes, or calculators with CAS or QWERTY keyboards are allowed. Cell phones may not be used.
- The multiple choice section includes 8 questions worth 5 points each.
- The true/false section includes 15 statements worth 15 points total.
- Three short answer questions are each worth 15 points.
The document discusses analogue and digital signals and number systems. It explains that the real world is analogue but digital signals are used for processing due to integrated circuits that can process digital data more easily. It then covers binary, octal, hexadecimal, and decimal number systems. Finally, it discusses representing negative numbers using sign-magnitude, 1's complement, and 2's complement representations and how arithmetic operations like addition and subtraction work using 2's complement.
Financial Analysis Worksheets/BlackScholes.xlsx
AGeneric AlgorithmFINANCIAL ANALYSIS ALGORITHMSBlack-Scholes ModelA Collection of Microsoft Excel Spreadsheets To Accompany Melicher & Norton's INTRODUCTION TO FINANCE, Markets, Investments, and Financial Management, 16eInstructions:Enter values for all input variables.Input Variables:30.00 Stock price33.00 Strike price6.00% Annual risk-free rate90.00% Annual volatility0.75 Years till expiration8.30 Market price of callOutput Variables:87.19% Implied Volatility8.577 B-S Call Value10.125 B-S Put Value8.577 Time Value0.000 Intrinsic Value0.627 Hedge ratioWORKSPACE:0.931551061730-0.45425942250.9299544565-0.44417819970.93281572610.9328157307365-0.44417819970.93281572620.02808274981.59369827320.62747134560.90479271950.93281572610.9067085060.9067085090.31092426660.90670850620.90670850600.3248209960.3783997450.9067085060.38011728060.3801172832-0.4441781840.38011728060.87191725023650.32516344090.35983334130.38011728060.3614666050.36146660750.62207093730.9067098460.3614666050.93281572610.3251634409-0.45425942250.62747134560.3614666050.62207094580.62207093730.32845682290.3109242890.62207094580.9067085063650.6751790040.62207094580.67154318280.67154317710.31092426660.02808274990.67154318280.38011728060.93281582180.67154318283658.2999995661-0.4441781840.0000000010.02808274980.3614666050.5337107630.02850118820.87191725020.62207094580.30633399591.60753370720.02810248150.871917250100.62207094585.14749713410.00413252570.87191725020.6220709458-0.4409771838-0.44417819970.00019486540.30633399590.87191725020.67154318280.3662892370.87149881180.02808274980.32845681720.62032485740.62207094580.8718975185-0.44097718388.33650.02808368080.037079378400.3109242890.32961469970.32845681720.02808274980.93374187381.60753368520.3109242890.00000919480.08891143550.0280827498-0.44417819978.29999080520.31092428900.90731850968.3-0.44417819970.87191631920.862920621600.38011728061.60753415118.29980513460.87191725020.38065617371.60753368523653.15250286598.29586747430.87191725020.3614666058.29999997951.60754355910.02808275180.3619790570.62207094580.3109242891.99998558081.60774312220.62207094581.60753368623650.00000002050.62032485740.3284568172-0.44417819970.37936796390.90670856920.02808279370.67154318288.30.3109242890.87191724820.67038530030.3109242890.62207094583650.39894230.00000043398.21108856451.6075336852-0.44417819970.93281572613653650.32845681720.00000866010.31071110980.87191720631.6120585663650.32845681720.62445681230.31091423710.31092428790.310924289-0.3172071243-0.44402900060.906736920.31071110980.31092381470.3109242889-0.4441781997-0.4441711634-0.444178199-0.44417819970.50000360480.62198991010.3801424679-0.4440290006-0.4441778677-0.44417819970.67154063940.62206712490.62207094548.2999999990.37554318770.32851074960.36149055650.9328586970.62207076550.38011733668.30.32845936060.32845681751.60753368520.00000866010.38011846860.62198991010.32845693720.38011728070.36146665831.60753368520.31091423710.31092428790.906708506-0.31720712430..
- The class outline covers regression analysis, including determining the R-squared value and interpreting regression output from Excel.
- Regression models the relationship between a dependent variable (sales) and independent variables (price and other factors) using estimated coefficients.
- The R-squared value measures the explanatory power of the regression model, with higher values indicating more of the variation in the dependent variable is explained by the independent variables.
- Excel can be used to perform the regression analysis and output statistics including coefficients, F-statistics from the ANOVA table, and p-values to interpret the significance of each coefficient.
The document summarizes statistical analyses of education spending by female employees at a company and price data for a Canon camera model.
For the employee data: a bar graph and histogram are proposed to represent spending amounts. It is determined that 36.09% of employees spend between S/5800-S/10000 on education.
For the camera price data: a histogram shows price ranges for 200 establishments. A frequency table is made from the graph. It is found that 25% of establishments sell the camera for S/2300 or more. The minimum amount for the top 24% of establishments by price is S/2311.
This PowerPoint was created to help out graduating seniors who are taking the TAKS Mathematics Exit-Level test. It includes formulas, rules & things that they need to remember to pass the test.
Economics
Curve Fitting
macroeconomics
Curve fitting helps in capturing the trend in the data by assigning a single function
across the entire range.
If the functional relationship between the two quantities being graphed is known to be
within additive or multiplicative constants, it is common practice to transform the data in
such a way that the resulting line is a straight line.(by plotting) A process of quantitatively
estimating the trend of the outcomes, also known as regression or curve fitting, therefore
becomes necessary.
For a series of data, curve fitting is used to find the best fit curve. The produced equation is
used to find points anywhere along the curve. It also uses interpolation (exact fit to the data)
and smoothing.
Some people also refer it as regression analysis instead of curve fitting. The curve fitting
process fits equations of approximating curves to the raw field data. Nevertheless, for a
given set of data, the fitting curves of a given type are generally NOT unique.
Smoothing of the curve eliminates components like seasonal, cyclical and random
variations. Thus, a curve with a minimal deviation from all data points is desired. This
best-fitting curve can be obtained by the method of least squares.
What is curve fitting Curve fitting?
Curve fitting is the process of constructing a curve, or mathematical functions, which possess closest
proximity to the series of data. By the curve fitting we can mathematically construct the functional
relationship between the observed fact and parameter values, etc. It is highly effective in mathematical
modelling some natural processes.
What is a fitting model?
A fit model (sometimes fitting model) is a person who is used by a fashion designer or
clothing manufacturer to check the fit, drape and visual appearance of a design on a
'real' human being, effectively acting as a live mannequin.
What is a model fit statistics?
The goodness of fit of a statistical model describes how well it fits a set of
observations. Measures of goodness of fit typically summarize the discrepancy
between observed values and the values expected under the model in question.
What is a commercial model?
Commercial modeling is a more generalized type of modeling. There are high
fashion models, and then there are commercial models. ... They can model for
television, commercials, websites, magazines, newspapers, billboards and any other
type of advertisement. Most people who tell you they are models are “commercial”
models.
What is the exponential growth curve?
Growth of a system in which the amount being added to the system is proportional to the
amount already present: the bigger the system is, the greater the increase. ( See geometric
progression.) Note : In everyday speech, exponential growth means runaway expansion, such
as in population growth.
Why is population exponential?
Exponential population growth: When resources are unlimited, populations
exhibit exponential growth, resulting in a J-shaped curve.
Using microsoft excel for weibull analysisMelvin Carter
A simple introduction to reliability analysis of components. Though this lacks explanations of the calculated steps it shows how simple analysis can be. Note that it only addresses the Weibull distribution. It does share how to look elsewhere if the Weibull shape parameter is not near the ideal three(3).
This document discusses frequency distributions and graphic presentations of data. It defines a frequency distribution as a grouping of data into categories showing the number of observations in each category. It describes the steps to construct a frequency distribution and provides examples using employee salary data. It also discusses types of graphic presentations like histograms, frequency polygons, cumulative frequency distributions, bar charts, and pie charts that can be used to visually display frequency distribution data.
FREQUENCY DISTRIBUTION ( distribusi frekuensi) - STATISTICS
Microsoft_v20.7
1. Dual vertical axes chart scaling algorithm
comparison with Excel’s
March 2015
Confidential
Questions/Comments?
Please contact Hao-Yuan Chuang at
haoyuan1122@gmail.com
1
2. ®
100
36
100
84
36
52
68
84
100
36
52
68
84
100
Q1 Q2
A B
100
36
100
84
75
80
85
90
95
100
105
0
20
40
60
80
100
120
Q1 Q2
A B
Executive Summary
2
Graphician is pleased to present one of our 5 US-patented algorithms.
An algorithm to truthfully present the intelligence of data graphically on dual vertical axes chart.
An algorithm can be easily incorporated into conventional tableted data applications such as Excel.
-16-64
Excel algorithm mispresents a decrease from 100 to 36 and
a decrease from 100 to 84 is the same.
Graphician algorithmExcel dual vertical axes chart
-16
-64
Graphician algorithm shows a decrease from 100 to 36 is
more than a decrease from 100 to 84.
3. ®
-91
100
94
90
92
94
96
98
100
102
-150
-100
-50
0
50
100
150
Q1 Q2
A B
What algorithm Excel adopts for dual axes chart now?
3
Excel single vertical axis chart Excel dual vertical axes chart
-6-191
Excel adopts the same algorithm for single vertical axis chart when setting the scales of dual vertical axes chart,
thus the elongations of both axes are not coordinated to be the same.
100100
-91
-150
-100
-50
0
50
100
150
Q1 Q2
A
5. ®
No negative base value
Commonly used “Base Value” method misleads too
5
Graphician algorithm is the only solution which can correctly present the interaction/relationship between the data sets in all
kinds of situations on chart.
Base Value
Period A B
Q1 100 20
Q2 20 100
Change -80 +80
100%
20%
100%
500%
0%
100%
200%
300%
400%
500%
600%
Q1 Q2
A B
Line A’s decrease should be equal to
Line B’s increase
100
2020
100
20
40
60
80
100
20
40
60
80
100
Q1 Q2
A B
With negative base value Base Value
100%
-80%
100%
-300%
-400%
-300%
-200%
-100%
0%
100%
200%
Q1 Q2
A B
Line A’s decrease should be more
than Line B’s decrease
100
-80
-20
-100 -100
-80
-60
-40
-20
0
20
40
60
80
-80
-60
-40
-20
0
20
40
60
80
100
Q1 Q2
A B
Period A B
Q1 100 -20
Q2 -80 -100
Change -180 -80
Graphician
Graphician
6. ®
6
Misled by chart (case 1):
What drove the increase of sales?
Period Selling Price Units Sold Sales
Q1 84 9,762 820,000
Q2 100 10,000 1,000,000
Excel
Excel algorithm presents as the selling price and units sold both increased, but there was no much increase on sales.
820,000
1,000,000
84
100
75
80
85
90
95
100
105
-
200,000
400,000
600,000
800,000
1,000,000
1,200,000
Q1 Q2
Sales Selling Price
Excel
820,000
1,000,000
9,762
10,000
9,600
9,650
9,700
9,750
9,800
9,850
9,900
9,950
10,000
10,050
-
200,000
400,000
600,000
800,000
1,000,000
1,200,000
Q1 Q2
Sales Units Sold
7. ®
7
Misled by chart (case 1):
What drove the increase of sales? (cont.)
Period Selling Price Units Sold Sales
Q1 84 9,762 820,000
Q2 100 10,000 1,000,000
Graphician
820,000
1,000,000
9,762
10,000
8,200
8,560
8,920
9,280
9,640
10,000
820,000
856,000
892,000
928,000
964,000
1,000,000
Q1 Q2
Sales Units Sold
Graphician
820,000
1,000,000
84
100
82.0
85.6
89.2
92.8
96.4
100.0
820,000
856,000
892,000
928,000
964,000
1,000,000
Q1 Q2
Sales Selling Price
Graphician algorithm presents the fact that the main driver of increased sales is the increased selling price.
10. ®
Misled by chart (case 2):
What drove the growth of number of employed labor?
10
0
20,000
40,000
60,000
80,000
100,000
120,000
140,000
160,000
110,000
115,000
120,000
125,000
130,000
135,000
140,000
145,000
150,000
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
Employed in all industries
Employed in non-agricultural industries
Excel Graphician auto scaling algorithm
119,651
124,511
129,371
134,232
139,092
143,952
121,392
126,323
131,254
136,185
141,116
146,047
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
Employed in all industries
Employed in non-agricultural industries
Graphician
18.7%
20.3%
18.7% 20.3%
Graphician shows the fact that increase of employed in all
industries was mainly contributed by increase of
employed in non-agricultural industries in modern society.
Excel shows there was few relationship between the 2
data sets.
Source: U.S. Bureau of Labor Statistics
11. ®
Misled by chart (case 3):
Which stock performed better?
11
Source: Stock price data base
30.53
31.76
32.98
34.21
35.43
36.66
24.15
25.12
26.09
27.06
28.03
29.00
2004/3/23
2004/4/23
2004/5/23
2004/6/23
2004/7/23
2004/8/23
2004/9/23
2004/10/23
Microsoft Dell
31.00
32.00
33.00
34.00
35.00
36.00
37.00
0.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00
2004/3/23
2004/4/23
2004/5/23
2004/6/23
2004/7/23
2004/8/23
2004/9/23
2004/10/23
Microsoft Dell
Excel Graphician auto scaling algorithmGraphician
20.1%
11.1%
20.1%
11.1%
Graphician shows the movement of the 2 stocks in same
elongation and the fact that Microsoft’s share price
performed better than Dell’s.
Microsoft’s share price grew 20.1% while Dell’s grew only
11.1%. However, the chart indicated that Dell’s price
movement was much larger than Microsoft’s.
12. ®
100
36
1000
840
360
520
680
840
1000
36
52
68
84
100
Q1 Q2
A B
100
36
1000
840
750
800
850
900
950
1000
1050
0
20
40
60
80
100
120
Q1 Q2
A B
Key steps of the algorithm
12
A B
Q1 100 1000
Q2 36 840
Original E-value
0.64
= (100-36)/100
0.16
= (1000-840)/1000
Upper limit
of the axis
100
= A’s Max
1000
= B’s Max
Lower limit
of the axis
36
= A’s Min
360
= B’s Max ×
A’s Min/A’s Max
New E-value N/A
0.64
= (1000-360)/1000
Note: (1) Which of the upper and lower limit should be unchanged and how to calculate the other limit is disclosed in the flowchart next page.
Calculate the E-value of each sequence (A: 0.64; B:0.16)
Set upper and lower limits of the axis with larger E-value (A: 0.64)
as its Max & Min (100 & 36)
Set one of the upper and lower limit of the axis with smaller E-
value (B: 0.16) unchanged (1000) (1)
Calculate the other limit of the axis with smaller E-value (360).
B’ new E-value (0.64) equals to A’s original E-value (0.64) (1)
4 key steps
1
2
3
4
1
2 3
4
1
2
4
2
2
3
4
-16%
-64%-16%-64%
Excel algorithm Graphician algorithm
13. ®
Step 3 & 4 of the algorithm:
Which of the upper and lower limit should be changed and how?
│Max value of 1st data set │
≥
│Min value of 1st data set │
│Max value of 2nd data set │
≥
│Min value of 2nd data set │
Adjust lower limit
of 2nd data set’s axis
= 2nd data set max value
× 1st data set mini value
÷ 1st data set max value
│Max value of 2nd data set │
≥
│Min value of 2nd data set │
Yes
Yes Yes
No
No No
Adjust upper limit
of 2nd data set’s axis
= 2nd data set mini value
× 1st data set mini value
÷ 1st data set max value
Adjust lower limit
of 2nd data set’s axis
= 2nd data set max value
× 1st data set max value
÷ 1st data set mini value
Adjust upper limit
of 2nd data set’s axis
= 2nd data set mini value
× 1st data set max value
÷ 1st data set mini value
i. 1st data set refers to the data set
with larger E-Value
ii. 2nd data set refers to the data set
with smaller E-Value
Upper limit of 2nd data
set’s axis unchanged
= 2nd data set max value
Upper limit of 2nd data
set’s axis unchanged
= 2nd data set max value
Lower limit of 2nd data
set’s axis unchanged
= 2nd data set mini value
Lower limit of 2nd data
set’s axis unchanged
= 2nd data set mini value
13
14. ®
Step 3 & 4 of the algorithm (cont.):
Yes
Yes 100
36
1000
840
360
520
680
840
1000
36
52
68
84
100
Q1 Q2
A B
A B
Q1 100 1000
Q2 36 840
Original E-value
0.64
= (100-36)/100
0.16
= (1000-840)/1000
Upper limit
of the axis
100
= A’s Max
1000
= B’s Max
Lower limit
of the axis
36
= A’s Min
360
= B’s Max ×
A’s Min/A’s Max
New E-value N/A
0.64
= (1000-360)/1000
1
2 3
4
1
2
4
2
2
3
4
-16%
-64%
Graphician algorithm
│100│≥│36│
│1000│≥│840│
Adjust lower limit
of 2nd data set’s axis
= 1000 × 36 ÷ 100
=360
Upper limit of 2nd data
set’s axis unchanged
= 1000
i. Here 1st data set is data set A
ii. Here 2nd data set is data set B
14
16. ®
Demonstration of all kinds of situations
16
We define:
a1 = Max value of sequence (A);
an = Min value of sequence (A)
To prove that the patented algorithm can present the true interaction of data with the same elongation ratio under all kinds of
situations, we will demonstrate one example for each situation.
Though the algorithm can be applied to charts with multiple vertical axes, to simplify the demonstration, we assume there
are only two sets of sequences: sequence (A) and sequence (B). Each sequence has only two data, 1st data and 2nd data.
Note: The case of “Max = Min” is not included as there is special treatment as disclosed in the patent.
There are total 16 (=4*4) combinations crossed sequence (A) and (B).
We define:
b1 = Max value of sequence (B);
bn = Min value of sequence (B)
A1: a1 ≥ 0 an ≥ 0 │a1│>│an│
A2: a1 > 0 an < 0 │a1│>│an│
A3: a1 ≥ 0 an < 0 │a1│<│an│
A4: a1 < 0 an < 0 │a1│<│an│
B1: b1 ≥ 0 bn ≥ 0 │b1│>│bn│
B2: b1 > 0 bn < 0 │b1│>│bn│
B3: b1 ≥ 0 bn < 0 │b1│<│bn│
B4: b1 < 0 bn < 0 │b1│<│bn│
For any sequence of data, the range of the Max value and
the Min value can only be one of the 4 situations:
1: Max ≥ 0 Min ≥ 0 │Max│>│Min│
2: Max > 0 Min < 0 │Max│>│Min│
3: Max ≥ 0 Min < 0 │Max│<│Min│
4: Max < 0 Min< 0 │Max│<│Min│