Moduel 5 topic 3
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This document provides examples and instructions for performing linear regression. It explains positive and negative correlation and defines the line of best fit. It includes sample data on household income and vehicle miles traveled. It derives the linear regression equation for this data as y=0.24x + 14.17. Using this equation, it predicts the miles traveled for a household income of $30,000 to be 21.37 miles.
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Answer to question 7(math wiki)
1) The document describes how to create a scatter plot of year versus number of teams data on a graphing calculator. It involves inputting the data into L1 and L2 and turning on the stat plot.
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3) The quadratic model was found to best fit the data with an equation of N(t) = -0.003t^2 + 0.621t + 11.003, which models the number of teams (N) over time (t) in years using the regression analysis.
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Topic 3 factoring perfect square & difference of square
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The document discusses quadratic regression, which finds the parabolic equation that best fits a set of data. It explains how to perform quadratic regression on TI-84 and TI-Nspire graphing calculators by entering x and y data lists and using the calculators' statistics functions to determine the quadratic regression equation in the form y = ax2 + bx + c. Step-by-step instructions are provided for both calculators. Examples are given for the reader to practice quadratic regression using sample x and y data pairs.
Nspire--iPadAppTutorial--Slope Formula
- The tutorial demonstrates how to calculate the slope between two points on a graph using the slope formula.
- The steps include creating a graph window, placing two points on the graph, displaying the coordinates of the points, writing the slope formula using text tools, and linking the formula to the coordinates of the points to calculate the slope.
- When the coordinates in the formula are linked to the points, the formula dynamically calculates the slope as the coordinates change.
Using the ti 83 84
This document provides instructions and examples for using a TI-83/84 graphing calculator. It covers how to graph equations, systems of equations, and linear inequalities. It also demonstrates how to calculate the correlation coefficient between two data sets using the calculator. Examples are provided to illustrate graphing linear and exponential functions, finding points of intersection for systems of equations, and interpreting correlation values. Key steps are outlined for entering data and functions into the calculator to perform graphing and statistical analysis.
Excel Powerpoint class with video
Excel is useful for calculations, charts, and data analysis. It uses spreadsheets organized into rows and columns made up of cells. Cells can contain numbers for formulas to perform calculations. Formulas allow testing of "what if" scenarios. Excel can also create charts to visually represent results. Common functions include SUM, AVERAGE, and conditional formatting. Pivot tables and charts allow summarizing and visualizing data. Budget templates demonstrate setting up a monthly budget to track income, expenses, and the ending balance.
17P2–2 Average corporate tax rates Using the corporate t.docx
1
7
P2–2 Average corporate tax rates Using the corporate tax rate schedule given in Table 2.1, perform the following:
a. Calculate the tax liability, after-tax earnings, and average tax rates for the following levels of corporate earnings before taxes: $10,000; $80,000; $300,000; $500,000; $1.5 million; $10 million; and $20 million.
P2–5 Interest versus dividend expense Michaels Corporation expects earnings before interest and taxes to be $50,000 for the current period. Assuming an ordinary tax rate of 35%, compute the firm’s earnings after taxes and earnings available for common stockholders (earnings after taxes and preferred stock dividends, if any) under the following conditions:
a. The firm pays $12,000 in interest.
b. The firm pays $12,000 in preferred stock dividends.
P2–7 Capital gains taxes As part of its operations, Ferguson’s Plumbing has bought and sold several no depreciable capital assets. The purchase and sale prices for these assets are contained in the following table. Assuming that Ferguson’s pays a 40% capital gains tax, complete the table by filling in the last two columns.
Asset
Sale price
Purchase price
Capital gain
Tax
A
$ 3,400
$ 3,000
B
12,000
12,000
C
80,000
62,000
D
45,000
41,000
E
18,000
16,500
E3–1 You are a summer intern at the office of a local tax preparer. To test your basic knowledge of financial statements, your manager, who graduated from your alma mater 2 years ago, gives you the following list of accounts and asks you to prepare a simple income statement using those accounts.
Accounts
($000,000)
Depreciation
25
General and administrative expenses
22
Sales
345
Sales expenses
18
Cost of goods sold
255
Lease expense
4
Interest expense
3
a. Arrange the accounts into a well-labeled income statement. Make sure you label and solve for gross profit, operating profit, and net profit before taxes.
b. Using a 35% tax rate, calculate taxes paid and net profit after taxes.
Financial Management
Chapter 1
Use of Spreadsheets
(Print out this information sheet. Bring Excel up on your computer and try the computations on the Excel spreadsheet as I explain the formulas.)
Spreadsheets are an extremely useful tool in Financial Management as they allow one to solve both simple and complicated calculations at the push of a few buttons or inclusion of a formula. Throughout this course you will be required to complete your homework assignments using a spreadsheet such as Excel. I will assume that not everyone in the class knows how to get the most benefit out of a tool such as a spreadsheet by using cell formulas and functions.
We are going to start with simple basics and work our way up as we progress through this course. Let’s take two numbers and use them to demonstrate the four basic functions of addition, subtraction, multiplication and division. For purposes of illustration we will use 248 and 136.
ADDITION
The first rule is to isolate each number in a cell so that you may refer .
Calculator 4
1) The document provides instructions for coding a basic calculator app in LiveCode, including coding the equals button to perform calculations and updating variables to allow for continued use.
2) It describes adding code to handle new numbers, different math operators, and toggling between positive and negative values. Variables are used to track the current operation, total, and whether a new number is being entered.
3) The code examples show how to use if/else statements and switches to perform the correct calculation based on the current operator, then update the display and variables to allow for further input.
Notes of Information technology
This document provides an overview of key functions and features for working with Excel spreadsheets. It discusses setting up spreadsheet cells and formatting, entering data, sorting data, using formulas like AVERAGE and IF-THEN, and running summary calculations on a separate worksheet. The document demonstrates how to design a spreadsheet to store student grades and performance data, and use formulas to automatically calculate averages, determine if students pass or repeat courses, and assign grade point values.
Microsoft mathmatics step-by-step_guide
The document provides an overview of the key features and tools available in Microsoft Mathematics, including:
1) The calculator pad, worksheet tab for computations, and graphing tab for plotting graphs. Additional math tools include an equation solver, formulas library, and triangle solver.
2) Instructions for using the graphing calculator to evaluate expressions, solve equations either with buttons or ink input, and view step-by-step solutions.
3) Details on how to create graphs including plotting lines and functions, animating parameters, and creating 3D surface graphs which can be rotated to view from different angles.
Formula in MS Excel
Excel formulas begin with an equal sign and perform calculations on worksheet data using operands, operators, and cell references. Formulas use operators like addition, subtraction, multiplication, and division to calculate results. Operands can be values, cell references, names, or functions. Formulas are evaluated from left to right following operator precedence rules, which can be modified using parentheses.
How to make your own population pyramid in six simple steps
This document provides step-by-step instructions for creating a population pyramid in Excel from population data. It describes how to prepare the data, insert a clustered bar chart, format the vertical and horizontal axes, and adjust the bar properties to produce an accurate population pyramid visualization.
Calculator Manipulation.pptx
The document provides information about using scientific and graphing calculators, including their parts, functions, and how to perform operations and solve sample exercises. It discusses the parts and functions of scientific calculators, how to manipulate them, and perform basic to complex math operations. It also covers graphing calculators, how to graph functions, use advanced menu options, and scientific functions. Examples are provided on using scientific notation, performing statistical calculations, graphing linear equations, and solving systems of linear equations on the calculators.
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Heating of the earth - 2
1. There are three main methods of heat transfer: conduction, convection, and radiation.
2. The Earth is heated through radiation from the sun, with some energy being absorbed, some reflected, and some transmitted through substances like water and air.
3. Factors like land/water distribution, altitude, latitude, and cloud cover contribute to geographic and climatic differences in surface temperatures around the world.
Air pressure
Air pressure is exerted equally in all directions by the air around us. It can be measured using a barometer, with units of mmHg or atm. Rapid changes in air pressure often indicate approaching weather systems - falling pressure means storms while rising pressure means clearing weather. Winds are created by differences in air pressure between areas. Global wind patterns are caused by uneven heating of the Earth, with the hottest air at the equator rising and causing circulation of air masses. High and low pressure systems form based on temperature and moisture levels, influencing wind direction.
Heating of the earth
1. There are three main methods of heat transfer: conduction, convection, and radiation.
2. The Earth is heated through radiation from the sun, with some energy being absorbed, some reflected, and some transmitted through substances like water and air.
3. Temperatures vary based on factors like proximity to water vs. land, altitude, latitude, and cloud cover, with land experiencing greater temperature ranges than water and higher latitudes being cooler on average.
Air pressure
Air pressure is exerted equally in all directions by the air around us. It can be measured using a barometer, with units of mmHg or atm. Rapid changes in air pressure often indicate approaching weather systems - falling pressure means storms while rising pressure means clearing weather. Winds are created by differences in air pressure between areas. Global wind patterns are caused by uneven heating of the Earth, with the hottest air at the equator rising and causing circulation of air masses. High and low pressure systems form based on temperature and moisture levels, influencing wind direction.
Unit 2 post assessment
The document provides 20 math word problems that require solving equations for a variable. It works through each problem step-by-step showing the work and reasoning to isolate the variable. Common steps include distributing terms, combining like terms, adding/subtracting the same quantity to both sides of the equation, and dividing/multiplying both sides by the same non-zero quantity. The final problems involve multiple steps to solve more complex equations.
Atmosphere lesson
The atmosphere is divided into four main layers - the troposphere, stratosphere, mesosphere, and thermosphere. Each layer is defined by changes in temperature. The troposphere extends from Earth's surface to around 12 km and contains around 90% of the atmosphere. The stratosphere extends from 12-50 km and contains the ozone layer which absorbs harmful UV radiation. Air is composed primarily of nitrogen (78%) and oxygen (21%).
Chapter 6 maps
Maps have evolved over time to become more accurate representations of the world. Early maps from 4000 BC showed where people lived and tax boundaries, while Ptolemy created the first world map in 150 AD using Greek and Roman cartography. In the Middle Ages, maps reflected cultural beliefs and guided pilgrims. Modern technology like GPS and GIS has led to highly accurate digital maps through satellite imagery and data analysis.
Chapter 14 – water resources
The document discusses water resources and water treatment. It explains that most of Earth's water is ocean water, while freshwater comes from surface water, groundwater, and the water cycle. It then describes how surface water forms rivers and lakes, groundwater forms aquifers, and how water is used residentially, industrially, and agriculturally. Issues like overdraft and habitat degradation are discussed, along with water treatment processes like desalination, purification through screening, sedimentation, filtration, aeration, and sterilization.
Chapter 22 – astronomical technology
The document summarizes different types of telescopes and space probes used to explore the universe, and some of their key contributions. It discusses radio, infrared, visible light, ultraviolet, X-ray, and gamma ray telescopes, as well as notable space telescopes like Hubble and the upcoming James Webb Space Telescope. It also outlines various space probes sent to study planets, moons, comets and more, providing images to advance scientists' understanding of the solar system. Finally, it lists some technologies that were developed for space exploration but later found applications on Earth.
Chapter 21 stars
1. Stars form from dense clouds of gas and dust called nebulae when gravity overcomes pressure, causing the cloud to collapse and heat up. Nuclear fusion then begins, forming a star.
2. Stars exist in different stages depending on their mass. Medium stars become red giants then white dwarfs. Massive stars explode as supernovae, leaving neutron stars or black holes.
3. Astronomers use tools like spectroscopy, star charts, and parallax to determine properties of stars like composition, temperature, brightness, and distance. This helps classify stars and map their life cycles.
Chapter 20 planetary motion
The document discusses planetary motion and the movement of celestial bodies. It describes how early astronomers like Ptolemy, Copernicus, and Kepler developed models of the solar system. Johannes Kepler developed his three laws of planetary motion, establishing that planets orbit the sun in ellipses. Isaac Newton later explained that gravity is the force that causes planets to orbit the sun. The document also discusses the Earth's rotation, revolution, and axial tilt, which cause seasons. It describes the moon's orbit and how its phases, tides, and eclipses occur due to the positions of the Earth, moon, and sun.
Chapter 19 – formation of the universe
The document summarizes theories about the formation and evolution of the universe:
1) The Big Bang theory proposes that approximately 13.8 billion years ago, all matter in the observable universe was condensed into an incredibly dense singularity that suddenly exploded, causing the universe to expand rapidly and form light elements.
2) As the universe expanded, gravity caused matter to condense into the first stars and galaxies. Observations of redshifts in light from distant galaxies provide evidence the universe continues expanding today.
3) Current theories suggest three possible ultimate fates for the universe depending on its overall density - continued expansion, eventual contraction, or a stable flat state.
Chapter 18 – air pollution and global changes
This document discusses various types of air pollution and their local and global effects. It describes how local pollution from activities like burning fossil fuels can cause issues worldwide through mechanisms like acid rain, ozone depletion, and global warming. Five major types of outdoor air pollutants are discussed - particulates, oxides, photochemical smog, hydrocarbons, and CFCs. The document also notes how air pollution affects human health, other organisms, and causes global problems through acid deposition, ozone layer thinning, and climate change due to increased greenhouse gases.
Chapter 17 – meteorology
Meteorologists use various data sources to predict the weather, but it is difficult to always be correct due to rapidly changing atmospheric conditions. Data comes from surface weather stations, weather balloons, satellites, radars, and computer models. Air masses and fronts influence weather, and storms form when different air masses meet. Hurricanes require specific conditions like warm ocean water. While meteorology studies the atmosphere, tiny differences in data can lead to different model results, so multiple models are used to predict daily weather.
Chapter 16 – the atmosphere and weather
1. The document discusses the four layers of Earth's atmosphere and how factors like temperature, pressure, wind, and moisture interact to cause weather.
2. It explains that the lowest layer, the troposphere, contains almost all of the atmosphere's mass and water and is where weather occurs.
3. The stratosphere contains the protective ozone layer. The thermosphere is where satellites orbit and temperatures can reach 2000 degrees Celsius.
4. Weather results from interactions of heat, air pressure, wind, and moisture. Unequal heating causes pressure differences that create wind, and wind circulations around the globe.
Chapter 15 – water quality and pollution
The document discusses various types of water pollution including chemical, thermal, radioactive, sediments, and sewage. The largest sources of water pollution are agricultural runoff and sewage. Developing countries often lack proper sewage treatment facilities. Water pollution has been an issue for centuries but legislation and enforcement have been weak, allowing the problem to continue. The top source of water pollution in North Carolina is stormwater runoff carrying various pollutants. Solutions include limiting development near waterways and preserving wetlands to naturally filter water.
Chapter 14 – water resources
The document discusses water resources and water treatment. It explains that most of Earth's water is ocean water, while freshwater comes from surface water, groundwater, and the water cycle. It then describes how surface water flows in rivers and collects in lakes and reservoirs, and how groundwater flows through permeable rock layers and can be accessed through wells. The document also outlines water use for residential, industrial, and agricultural purposes, as well as problems like overdraft and habitat degradation. It concludes by explaining processes for desalination and water purification to remove salts and contaminants, making water safe for drinking.
Chapter 13 – oceans and beaches
The document summarizes how oceans shape our lives by discussing the distribution of water on Earth, properties of ocean water, ocean motions, shoreline formations, and the barrier islands of North Carolina's Outer Banks. It explains that barrier islands formed due to rising sea levels, a large sand supply, a gently sloping coast, and wave energy. Humans are increasing the rate of barrier island migration through armoring and development, which reduces available sand and increases erosion risks. Ultimately, one cannot have buildings and beaches in the long run due to the dynamic coastal environment.
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Moduel 5 topic 3
- 1. Module 5 Topic 3 Linear Regression
- 2. Example 1 Positive Correlation = looks like a line going up to the sky from the left of the screen to the right of the screen Negative Correlation = looks like a line going down to the ground from the left of the screen to the right of the screen None = The points do not form a line at all, they are scattered all over the place!
- 3. Example 2 Similar Problem: Use your calculator to find the equation for the line of best fit for the data. Round your answer to two decimal places. Residential Vehicle Miles Traveled per Household by Annual Household Income HouseholdIncome (thousands) 10 15 20 25 35 50 60 75 Miles (thousands) 14.2 15.8 19.3 22.3 25.2 28 28.9 29.6
- 4. Example 2 Continued Using your graphing calculator follow the instructions below; Before each problem do this: Press On Press 2nd Press + Press 4: ClrAllLists Press Enter
- 5. Example 2 continued Once you have done this your calculator clears all the list information for you! Press STAT Press 1:Edit In L1 put in the Household Income In L2 put in the Miles Press 2nd Press Mode (quit) Press STAT Arrow over to CALC Press 4:LinReg ax + b We get LinReg y= ax + b (a is the slope and b is the y-intercept) y= .24x + 14.17
- 6. Example 3 Use the equation for the line of best fit to predict the number of mile traveled per household for an annual household income of 30 thousand dollars. Round your answer to the nearest tenth. Use the equation in Example 2. Use the equation we found in questions #3 and plug in 30 for x. y = .24(30) + 14.17 y = 21.37