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This document discusses correlation, regression, and the least squares method. It defines correlation as the degree of relationship between two variables and identifies positive, negative, and zero correlations. Regression analysis determines the best fit line to predict the relationship between a dependent and independent variable. Linear regression predicts the relationship between quantitative variables, while logistic regression predicts probabilities for discrete outcomes. The least squares method determines the best fit line by minimizing the distance between the data points and the line. Real-life examples are provided to illustrate applications in business, agriculture, medicine, and investments.
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Correlation analysis
Correlation refers to statistical relationships between two random variables. The correlation coefficient r ranges from -1 to 1, indicating the direction and strength of the relationship. Karl Pearson and Spearman methods can be used to calculate r. While correlation indicates an association, it does not imply causation. Correlation is used in business, government, education, medicine, and agriculture to study relationships and make predictions.
Correlationanalysis
Correlation analysis is used to determine the relationship between two or more variables. It can analyze the degree, direction, and type of relationship. The key types of correlation are positive (variables increase together), negative (variables change inversely), simple (two variables), partial (three+ variables with some held constant), and multiple (three+ variables together). Correlation can also be linear (constant ratio of changes) or non-linear (varying ratio of changes). It is useful for understanding variable behavior, estimating values, and interpreting results with measures like the correlation coefficient and coefficient of determination.
Correlation
This document discusses correlation and provides examples of its applications. It begins with an introduction that defines correlation as measuring the linear relationship between two variables. It then provides definitions of positive and negative correlation. The next sections discuss types of correlation based on degree, number of variables, and linearity. Correlation coefficient is introduced as a measure of the strength of the linear relationship between -1 and 1. Examples of its applications include the relationships between tree cutting and erosion, study time and test scores, clothing size and growth. Limitations of only considering linear relationships are also covered. Real-life examples of positive, negative, and no correlation between variables like temperature and sales, exercise and body fat, and weather and sales are presented.
Introduction to Regression Analysis
The presentation was prepared to provide a brief overview on Regression analysis as to what it means and how it differs from related statistical measures like Correlation. The last few slides briefly discusses on the different types of data used in Econometrics.
Correlation
The document discusses different types of correlation between two variables: positive correlation, negative correlation, and no correlation. It defines correlation as a statistical measure of the linear relationship between two variables. Different methods for measuring correlation are described, including scatter diagrams, Karl Pearson's coefficient of correlation, rank correlation, and autocorrelation. Karl Pearson's coefficient yields a numerical value between -1 and 1 to indicate the strength and direction of linear correlation. Rank correlation is used for qualitative variables by assigning ranks and finding the correlation between the ranks.
Correlation Analysis
Statistical techniques for measuring the closeness of the relationship between variables.It measures the degree to which changes in one variable are associated with changes in another.It can only indicate the degree of association or covariance between variables. Covariance is a measure of the extent to which two variables are related.
correlation_and_covariance
Correlation describes the relationship between two or more variables. A positive correlation means that as one variable increases, the other also increases, while a negative correlation means that as one variable increases, the other decreases. Correlation is measured numerically using coefficients like the Pearson correlation coefficient r, which ranges from -1 to 1, with values farther from 0 indicating stronger linear relationships and the direction indicating positive or negative correlation. Correlation is used in business and economics to study relationships between variables like price and demand.
PEARSON'CORRELATION
This document discusses Pearson's product-moment correlation coefficient, which is a statistical measure of the linear correlation between two variables introduced by Karl Pearson. It defines Pearson's r as the covariance of two variables divided by the product of their standard deviations. The document provides examples of calculating r and interpreting the resulting correlation coefficient between -1 and +1. It outlines the procedure, merits and demerits of Pearson's r and discusses its applications in pharmaceutical analysis and drug development.
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Correlation analysis
Correlation refers to statistical relationships between two random variables. The correlation coefficient r ranges from -1 to 1, indicating the direction and strength of the relationship. Karl Pearson and Spearman methods can be used to calculate r. While correlation indicates an association, it does not imply causation. Correlation is used in business, government, education, medicine, and agriculture to study relationships and make predictions.
Correlationanalysis
Correlation analysis is used to determine the relationship between two or more variables. It can analyze the degree, direction, and type of relationship. The key types of correlation are positive (variables increase together), negative (variables change inversely), simple (two variables), partial (three+ variables with some held constant), and multiple (three+ variables together). Correlation can also be linear (constant ratio of changes) or non-linear (varying ratio of changes). It is useful for understanding variable behavior, estimating values, and interpreting results with measures like the correlation coefficient and coefficient of determination.
Correlation
This document discusses correlation and provides examples of its applications. It begins with an introduction that defines correlation as measuring the linear relationship between two variables. It then provides definitions of positive and negative correlation. The next sections discuss types of correlation based on degree, number of variables, and linearity. Correlation coefficient is introduced as a measure of the strength of the linear relationship between -1 and 1. Examples of its applications include the relationships between tree cutting and erosion, study time and test scores, clothing size and growth. Limitations of only considering linear relationships are also covered. Real-life examples of positive, negative, and no correlation between variables like temperature and sales, exercise and body fat, and weather and sales are presented.
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Correlation Analysis
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correlation_and_covariance
Correlation describes the relationship between two or more variables. A positive correlation means that as one variable increases, the other also increases, while a negative correlation means that as one variable increases, the other decreases. Correlation is measured numerically using coefficients like the Pearson correlation coefficient r, which ranges from -1 to 1, with values farther from 0 indicating stronger linear relationships and the direction indicating positive or negative correlation. Correlation is used in business and economics to study relationships between variables like price and demand.
PEARSON'CORRELATION
This document discusses Pearson's product-moment correlation coefficient, which is a statistical measure of the linear correlation between two variables introduced by Karl Pearson. It defines Pearson's r as the covariance of two variables divided by the product of their standard deviations. The document provides examples of calculating r and interpreting the resulting correlation coefficient between -1 and +1. It outlines the procedure, merits and demerits of Pearson's r and discusses its applications in pharmaceutical analysis and drug development.
Correlation and partial correlation
This document discusses correlation analysis and different types of correlation. It defines correlation as the degree of inter-relatedness between two or more variables. Correlation can be positive, negative, simple, partial or multiple depending on the direction and number of variables analyzed. Linear and non-linear correlation are determined based on whether the relationship between variables is constant or not. The document provides examples of calculating correlation coefficients in Excel and SPSS and computing partial correlation coefficients controlling for other variables.
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Covariance is a measure of how two random variables change together, taking any value from -∞ to +∞. Covariance can be affected by changing the units of the variables. Correlation is a scaled version of covariance that indicates the strength of the relationship between two variables on a scale of -1 to 1. Unlike covariance, correlation is not affected by changes in the location or scale of the variables and provides a standardized measure of their relationship. Correlation is therefore preferred over covariance as a measure of the relationship between two variables.
Correlationanalysis
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Correlation &regression
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This document provides an overview of simple linear regression. It defines regression as determining the statistical relationship between variables where changes in one variable depend on changes in another. Regression analysis is used for prediction and exploring relationships between dependent and independent variables. The key aspects covered include:
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- Lines of regression show the relationship between the variables.
- The method of least squares is used to determine the line of best fit that minimizes the error between predicted and actual values.
- Linear regression models take the form of y = a + bx and are used for tasks like prediction and determining impact of independent variables.
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Study of Correlation
This document discusses correlation analysis in agriculture. It begins by defining correlation as the relationship between two or more variables. Some key points:
- Correlation can be positive (variables move in the same direction), negative (variables move in opposite directions), linear, nonlinear, simple, multiple, partial or total.
- Common types analyzed in agriculture include the relationship between yield and rainfall, price and supply, height and weight.
- Methods for measuring correlation are discussed, including Karl Pearson's coefficient of correlation (denoted by r), Spearman's rank correlation, and scatter diagrams.
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Regression and Co-Relation
This document provides an introduction to regression and correlation analysis. It discusses simple and multiple linear regression models, how to interpret regression coefficients, and how to check the assumptions and adequacy of regression models. Key aspects covered include computing the regression line using the least squares method, interpreting the slope and intercept, checking the normality of residuals, and examining residual plots to validate the model. The goal of regression analysis is to model the relationship between a dependent variable and one or more independent variables.
association of attributes
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Theory of Association in Statistics
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correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data. Although in the broadest sense, "correlation" may indicate any type of association, in statistics it normally refers to the degree to which a pair of variables are linearly related. Familiar examples of dependent phenomena include the correlation between the height of parents and their offspring, and the correlation between the price of a good and the quantity the consumers are willing to purchase, as it is depicted in the so-called demand curve.
Correlations are useful because they can indicate a predictive relationship that can be exploited in practice. For example, an electrical utility may produce less power on a mild day based on the correlation between electricity demand and weather. In this example, there is a causal relationship, because extreme weather causes people to use more electricity for heating or cooling. However, in general, the presence of a correlation is not sufficient to infer the presence of a causal relationship (i.e., correlation does not imply causation).
Formally, random variables are dependent if they do not satisfy a mathematical property of probabilistic independence. In informal parlance, correlation is synonymous with dependence. However, when used in a technical sense, correlation refers to any of several specific types of mathematical operations between the tested variables and their respective expected values. Essentially, correlation is the measure of how two or more variables are related to one another. There are several correlation coefficients, often denoted
ρ
\rho or
r
r, measuring the degree of correlation. The most common of these is the Pearson correlation coefficient, which is sensitive only to a linear relationship between two variables (which may be present even when one variable is a nonlinear function of the other). Other correlation coefficients – such as Spearman's rank correlation – have been developed to be more robust than Pearson's, that is, more sensitive to nonlinear relationships.[1][2][3] Mutual information can also be applied to measure dependence between two variables.
Regression analysis
Regression analysis is a statistical technique used to model relationships between variables. It allows one to predict the average value of a dependent variable based on the value of one or more independent variables. The key ideas are that the dependent variable is influenced by the independent variables in a linear or curvilinear fashion, and regression provides an equation to estimate the dependent variable given values of the independent variables. Common applications of linear regression include forecasting, determining relationships between variables, and estimating how changes in one variable impact another.
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Covariance is a measure of how two random variables change together, taking any value from -∞ to +∞. Covariance can be affected by changing the units of the variables. Correlation is a scaled version of covariance that indicates the strength of the relationship between two variables on a scale of -1 to 1. Unlike covariance, correlation is not affected by changes in the location or scale of the variables and provides a standardized measure of their relationship. Correlation is therefore preferred over covariance as a measure of the relationship between two variables.
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Tripti Dubey
Department of social work
Institute of Social Sciences
DBRAU
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A researcher conducted a study to investigate the relationship between anxiety, motivation, and writing performance. Multiple regression analysis was used to address: 1) how well anxiety and motivation predict writing performance, 2) which is the best predictor. Anxiety and motivation scores from 50 learners were collected via questionnaires and correlated with writing performance scores from essays. The regression model explained 15% of variance in writing performance, with anxiety making the largest unique contribution as the best predictor. Motivation's contribution was not statistically significant.
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This document discusses correlation analysis and how it is used to measure the linear relationship between two variables. It provides the formulas for calculating the population and sample correlation coefficients (ρ and r) and describes what each represents. An example is given of a study examining the relationship between grades in Calculus and Fortran Computer Language for 10 students. It asks whether the observed relationship is statistically significant and how the dependent variable could be predicted from the independent variable.
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- Methods for measuring correlation are discussed, including Karl Pearson's coefficient of correlation (denoted by r), Spearman's rank correlation, and scatter diagrams.
- The value of r ranges from -1 to 1, with higher positive or negative values indicating a stronger linear relationship between variables
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Correlation and Regression.pdf
correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data. Although in the broadest sense, "correlation" may indicate any type of association, in statistics it normally refers to the degree to which a pair of variables are linearly related. Familiar examples of dependent phenomena include the correlation between the height of parents and their offspring, and the correlation between the price of a good and the quantity the consumers are willing to purchase, as it is depicted in the so-called demand curve.
Correlations are useful because they can indicate a predictive relationship that can be exploited in practice. For example, an electrical utility may produce less power on a mild day based on the correlation between electricity demand and weather. In this example, there is a causal relationship, because extreme weather causes people to use more electricity for heating or cooling. However, in general, the presence of a correlation is not sufficient to infer the presence of a causal relationship (i.e., correlation does not imply causation).
Formally, random variables are dependent if they do not satisfy a mathematical property of probabilistic independence. In informal parlance, correlation is synonymous with dependence. However, when used in a technical sense, correlation refers to any of several specific types of mathematical operations between the tested variables and their respective expected values. Essentially, correlation is the measure of how two or more variables are related to one another. There are several correlation coefficients, often denoted
ρ
\rho or
r
r, measuring the degree of correlation. The most common of these is the Pearson correlation coefficient, which is sensitive only to a linear relationship between two variables (which may be present even when one variable is a nonlinear function of the other). Other correlation coefficients – such as Spearman's rank correlation – have been developed to be more robust than Pearson's, that is, more sensitive to nonlinear relationships.[1][2][3] Mutual information can also be applied to measure dependence between two variables.
Regression analysis
Regression analysis is a statistical technique used to model relationships between variables. It allows one to predict the average value of a dependent variable based on the value of one or more independent variables. The key ideas are that the dependent variable is influenced by the independent variables in a linear or curvilinear fashion, and regression provides an equation to estimate the dependent variable given values of the independent variables. Common applications of linear regression include forecasting, determining relationships between variables, and estimating how changes in one variable impact another.
Business methmitcs
Correlation and regression analysis are statistical techniques used to analyze relationships between variables. Correlation determines the strength and direction of relationships, while regression allows for predicting values of one variable based on the other. There are different types of correlation (positive, negative, simple, multiple) and regression (linear, non-linear). Karl Pearson developed a widely used method for calculating correlation coefficients based on means, standard deviations, and covariance. Regression analysis has various uses including prediction, estimating relationships, and testing hypotheses, but relies on assumptions like linear relationships between variables.
Business methmitcs
Correlation and regression analysis are statistical techniques used to analyze relationships between variables. Correlation determines the strength and direction of relationships, while regression allows for predicting values of one variable based on the other. Karl Pearson developed a correlation coefficient formula that measures the linear relationship between two variables on a scale from -1 to 1. Regression analysis can be linear or non-linear depending on whether the dependent variable changes at a constant rate with the independent variable. It is useful for prediction, estimating relationships, and testing hypotheses. The main limitations are its assumptions of linearity and static conditions between variables.
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1. Correlation analyzes the relationship between two variables, determining the degree to which they change together. Regression finds the relationship between a dependent and independent variable to estimate or predict future values.
2. Simple linear regression analyzes the relationship between one dependent and one independent variable. Multiple linear regression generalizes this to multiple independent variables.
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The document discusses using linear regression to analyze the relationship between the duration of studying before an exam (independent variable) and exam performance (dependent variable). It provides an overview of linear regression, noting it describes how a dependent variable relates to one or more independent variables. It also discusses key assumptions that must be met for linear regression, such as having continuous and linearly related variables, independence of observations, and normally distributed residuals. Checking tools like histograms and normal P-P plots are recommended to validate meeting the assumptions.
Correlation analysis
This document discusses correlation and provides examples to illustrate key concepts:
1. Correlation quantifies the linear relationship between two variables and ranges from -1 to 1. Values closer to 1 or -1 indicate a stronger linear relationship.
2. Scatterplots visually depict the relationship and can show if variables are positively or negatively correlated.
3. The Pearson correlation coefficient (r) is a common measure of linear correlation calculated using variables' means, sums, and standard deviations.
4. Correlation only captures linear relationships and does not prove causation between variables. Additional analysis is needed to interpret correlated variables.
Artifical Intelligence And Machine Learning Algorithum.pptx
Linear regression is a machine learning algorithm that finds a linear relationship between a dependent variable and one or more independent variables. It can be simple linear regression with one independent variable or multiple linear regression with more than one. The goal is to find the "best fit" line that minimizes the error between predicted and actual values. This is done by calculating coefficients using a cost function and gradient descent. Model performance is evaluated using metrics like the R-squared value, with a higher value indicating a better fit. Key assumptions for linear regression include a linear relationship between variables, little multicollinearity, homoscedasticity, normal error term distribution, and no autocorrelation.
Introduction-to-Linear-Regression.pptx
Linear regression is a statistical technique used to model the relationship between a dependent variable and one or more independent variables by fitting a straight line to the data points. It allows predictions and understanding of factor significance. The dependent variable is what is being predicted, while independent variables may help explain its variability. Coefficients represent changes in the dependent variable per independent variable change, and the intercept is the dependent variable value when independents are zero. Linear regression relies on assumptions like linearity and normality that may be violated for complex relationships. Methods like ordinary least squares and gradient descent fit regression models by minimizing residuals or cost functions. Evaluation metrics and significance tests help interpret results and variable importance.
Covariance and correlation
The document discusses covariance and correlation, which describe the relationship between two variables. Covariance indicates whether variables are positively or inversely related, while correlation also measures the degree of their relationship. A positive covariance/correlation means variables move in the same direction, while a negative covariance/correlation means they move in opposite directions. Correlation coefficients range from 1 to -1, with 1 indicating a perfect positive correlation and -1 a perfect inverse correlation. The document provides formulas for calculating covariance and correlation and examples to demonstrate their use.
MCA_UNIT-4_Computer Oriented Numerical Statistical Methods
Course: MCA
Subject: Computer Oriented Numerical Statistical Methods
Unit-4 Correlation
RAI UNIVERSITY, AHMEDABAD
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一比一原版英属哥伦比亚大学毕业证(UBC毕业证书)学历如何办理
原版办【微信号:BYZS866】【英属哥伦比亚大学毕业证(UBC毕业证书)】【微信号:BYZS866】《成绩单、外壳、雅思、offer、真实留信官方学历认证（永久存档/真实可查）》采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【我们承诺采用的是学校原版纸张（纸质、底色、纹路）我们拥有全套进口原装设备，特殊工艺都是采用不同机器制作，仿真度基本可以达到100%，所有工艺效果都可提前给客户展示，不满意可以根据客户要求进行调整，直到满意为止！】
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信号BYZS866】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信号BYZS866】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
留信网服务项目：
1、留学生专业人才库服务（留信分析）
2、国（境）学习人员提供就业推荐信服务
3、留学人员区块链存储服务
【关于价格问题（保证一手价格）】
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：客户在留信官方认证查询网站查询到认证通过结果后付款，不成功不收费！
Orchestrating the Future: Navigating Today's Data Workflow Challenges with Ai...
Navigating today's data landscape isn't just about managing workflows; it's about strategically propelling your business forward. Apache Airflow has stood out as the benchmark in this arena, driving data orchestration forward since its early days. As we dive into the complexities of our current data-rich environment, where the sheer volume of information and its timely, accurate processing are crucial for AI and ML applications, the role of Airflow has never been more critical.
In my journey as the Senior Engineering Director and a pivotal member of Apache Airflow's Project Management Committee (PMC), I've witnessed Airflow transform data handling, making agility and insight the norm in an ever-evolving digital space. At Astronomer, our collaboration with leading AI & ML teams worldwide has not only tested but also proven Airflow's mettle in delivering data reliably and efficiently—data that now powers not just insights but core business functions.
This session is a deep dive into the essence of Airflow's success. We'll trace its evolution from a budding project to the backbone of data orchestration it is today, constantly adapting to meet the next wave of data challenges, including those brought on by Generative AI. It's this forward-thinking adaptability that keeps Airflow at the forefront of innovation, ready for whatever comes next.
The ever-growing demands of AI and ML applications have ushered in an era where sophisticated data management isn't a luxury—it's a necessity. Airflow's innate flexibility and scalability are what makes it indispensable in managing the intricate workflows of today, especially those involving Large Language Models (LLMs).
This talk isn't just a rundown of Airflow's features; it's about harnessing these capabilities to turn your data workflows into a strategic asset. Together, we'll explore how Airflow remains at the cutting edge of data orchestration, ensuring your organization is not just keeping pace but setting the pace in a data-driven future.
Session in https://budapestdata.hu/2024/04/kaxil-naik-astronomer-io/ | https://dataml24.sessionize.com/session/667627
DSSML24_tspann_CodelessGenerativeAIPipelines
Codeless Generative AI Pipelines
(GenAI with Milvus)
https://ml.dssconf.pl/user.html#!/lecture/DSSML24-041a/rate
Discover the potential of real-time streaming in the context of GenAI as we delve into the intricacies of Apache NiFi and its capabilities. Learn how this tool can significantly simplify the data engineering workflow for GenAI applications, allowing you to focus on the creative aspects rather than the technical complexities. I will guide you through practical examples and use cases, showing the impact of automation on prompt building. From data ingestion to transformation and delivery, witness how Apache NiFi streamlines the entire pipeline, ensuring a smooth and hassle-free experience.
Timothy Spann
https://www.youtube.com/@FLaNK-Stack
https://medium.com/@tspann
https://www.datainmotion.dev/
milvus, unstructured data, vector database, zilliz, cloud, vectors, python, deep learning, generative ai, genai, nifi, kafka, flink, streaming, iot, edge
一比一原版(UCSF文凭证书)旧金山分校毕业证如何办理
毕业原版【微信:176555708】【(UCSF毕业证书)旧金山分校毕业证】【微信:176555708】成绩单、外壳、offer、留信学历认证（永久存档真实可查）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【我们承诺采用的是学校原版纸张（纸质、底色、纹路），我们拥有全套进口原装设备，特殊工艺都是采用不同机器制作，仿真度基本可以达到100%，所有工艺效果都可提前给客户展示，不满意可以根据客户要求进行调整，直到满意为止！】
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信176555708】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信176555708】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
留信网服务项目：
1、留学生专业人才库服务（留信分析）
2、国（境）学习人员提供就业推荐信服务
3、留学人员区块链存储服务
→ 【关于价格问题（保证一手价格）】
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：客户在留信官方认证查询网站查询到认证通过结果后付款，不成功不收费！
University of New South Wales degree offer diploma Transcript
澳洲UNSW毕业证书制作新南威尔士大学假文凭定制Q微168899991做UNSW留信网教留服认证海牙认证改UNSW成绩单GPA做UNSW假学位证假文凭高仿毕业证申请新南威尔士大学University of New South Wales degree offer diploma Transcript
End-to-end pipeline agility - Berlin Buzzwords 2024
We describe how we achieve high change agility in data engineering by eliminating the fear of breaking downstream data pipelines through end-to-end pipeline testing, and by using schema metaprogramming to safely eliminate boilerplate involved in changes that affect whole pipelines.
A quick poll on agility in changing pipelines from end to end indicated a huge span in capabilities. For the question "How long time does it take for all downstream pipelines to be adapted to an upstream change," the median response was 6 months, but some respondents could do it in less than a day. When quantitative data engineering differences between the best and worst are measured, the span is often 100x-1000x, sometimes even more.
A long time ago, we suffered at Spotify from fear of changing pipelines due to not knowing what the impact might be downstream. We made plans for a technical solution to test pipelines end-to-end to mitigate that fear, but the effort failed for cultural reasons. We eventually solved this challenge, but in a different context. In this presentation we will describe how we test full pipelines effectively by manipulating workflow orchestration, which enables us to make changes in pipelines without fear of breaking downstream.
Making schema changes that affect many jobs also involves a lot of toil and boilerplate. Using schema-on-read mitigates some of it, but has drawbacks since it makes it more difficult to detect errors early. We will describe how we have rejected this tradeoff by applying schema metaprogramming, eliminating boilerplate but keeping the protection of static typing, thereby further improving agility to quickly modify data pipelines without fear.
原版制作(unimelb毕业证书)墨尔本大学毕业证Offer一模一样
学校原件一模一样【微信：741003700 】《(unimelb毕业证书)墨尔本大学毕业证》【微信：741003700 】学位证，留信认证（真实可查，永久存档）原件一模一样纸张工艺/offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原。
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
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一.毕业证【q微741003700】成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【q/微741003700】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
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◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
STATATHON: Unleashing the Power of Statistics in a 48-Hour Knowledge Extravag...
"Join us for STATATHON, a dynamic 2-day event dedicated to exploring statistical knowledge and its real-world applications. From theory to practice, participants engage in intensive learning sessions, workshops, and challenges, fostering a deeper understanding of statistical methodologies and their significance in various fields."
06-12-2024-BudapestDataForum-BuildingReal-timePipelineswithFLaNK AIM
06-12-2024-BudapestDataForum-BuildingReal-timePipelineswithFLaNK AIM
by
Timothy Spann
Principal Developer Advocate
https://budapestdata.hu/2024/en/
https://budapestml.hu/2024/en/
tim.spann@zilliz.com
https://www.linkedin.com/in/timothyspann/
https://x.com/paasdev
https://github.com/tspannhw
https://www.youtube.com/@flank-stack
milvus
vector database
gen ai
generative ai
deep learning
machine learning
apache nifi
apache pulsar
apache kafka
apache flink
原版一比一利兹贝克特大学毕业证(LeedsBeckett毕业证书)如何办理
原版制作【微信:41543339】【利兹贝克特大学毕业证(LeedsBeckett毕业证书)】【微信:41543339】《成绩单、外壳、雅思、offer、真实留信官方学历认证（永久存档/真实可查）》采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【我们承诺采用的是学校原版纸张（纸质、底色、纹路）我们拥有全套进口原装设备，特殊工艺都是采用不同机器制作，仿真度基本可以达到100%，所有工艺效果都可提前给客户展示，不满意可以根据客户要求进行调整，直到满意为止！】
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信41543339】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信41543339】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
留信网服务项目：
1、留学生专业人才库服务（留信分析）
2、国（境）学习人员提供就业推荐信服务
3、留学人员区块链存储服务
【关于价格问题（保证一手价格）】
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：客户在留信官方认证查询网站查询到认证通过结果后付款，不成功不收费！
"Financial Odyssey: Navigating Past Performance Through Diverse Analytical Lens"
Embark on a captivating financial journey with 'Financial Odyssey,' our hackathon project. Delve deep into the past performance of two companies as we employ an array of financial statement analysis techniques. From ratio analysis to trend analysis, uncover insights crucial for informed decision-making in the dynamic world of finance."
一比一原版(harvard毕业证书）哈佛大学毕业证如何办理
一模一样【微信：A575476】【(harvard毕业证书）哈佛大学毕业证成绩单Offer】【微信：A575476】（留信学历认证永久存档查询）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信：A575476】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信：A575476】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
→ 【关于价格问题（保证一手价格）
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：可来公司面谈，可签订合同，会陪同客户一起到教育部认证窗口递交认证材料，客户在教育部官方认证查询网站查询到认证通过结果后付款，不成功不收费！
在线办理(英国UCA毕业证书)创意艺术大学毕业证在读证明一模一样
学校原件一模一样【微信：741003700 】《(英国UCA毕业证书)创意艺术大学毕业证》【微信：741003700 】学位证，留信认证（真实可查，永久存档）原件一模一样纸张工艺/offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原。
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
【主营项目】
一.毕业证【q微741003700】成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【q/微741003700】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
◇回国时间很长，忘记办理；
◇回国马上就要找工作，办给用人单位看；
◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
Experts live - Improving user adoption with AI
Bekijk de slides van onze sessie Enhancing Modern Workplace Efficiency op Experts Live 2024.
一比一原版(CU毕业证)卡尔顿大学毕业证如何办理
原件一模一样【微信：95270640】【卡尔顿大学毕业证CU学位证成绩单】【微信：95270640】（留信学历认证永久存档查询）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信：95270640】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信：95270640】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份【微信：95270640】
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
→ 【关于价格问题（保证一手价格）
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：可来公司面谈，可签订合同，会陪同客户一起到教育部认证窗口递交认证材料，客户在教育部官方认证查询网站查询到认证通过结果后付款，不成功不收费！
办理卡尔顿大学毕业证本科学位证成绩单CU学位证【微信：95270640 】外观非常精致，由特殊纸质材料制成，上面印有校徽、校名、毕业生姓名、专业等信息。
办理卡尔顿大学毕业证CU学位证本科学位证成绩单【微信：95270640 】格式相对统一，各专业都有相应的模板。通常包括以下部分：
校徽：象征着学校的荣誉和传承。
校名:学校英文全称
授予学位：本部分将注明获得的具体学位名称。
毕业生姓名：这是最重要的信息之一，标志着该证书是由特定人员获得的。
颁发日期：这是毕业正式生效的时间，也代表着毕业生学业的结束。
其他信息：根据不同的专业和学位，可能会有一些特定的信息或章节。
办理卡尔顿大学毕业证本科学位证成绩单CU学位证【微信：95270640 】价值很高，需要妥善保管。一般来说，应放置在安全、干燥、防潮的地方，避免长时间暴露在阳光下。如需使用，最好使用复印件而不是原件，以免丢失。
综上所述，办理卡尔顿大学毕业证本科学位证成绩单CU学位证【微信：95270640 】是证明身份和学历的高价值文件。外观简单庄重，格式统一，包括重要的个人信息和发布日期。对持有人来说，妥善保管是非常重要的。
一比一原版(GWU,GW文凭证书)乔治·华盛顿大学毕业证如何办理
毕业原版【微信:176555708】【(GWU,GW毕业证书)乔治·华盛顿大学毕业证】【微信:176555708】成绩单、外壳、offer、留信学历认证（永久存档真实可查）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【我们承诺采用的是学校原版纸张（纸质、底色、纹路），我们拥有全套进口原装设备，特殊工艺都是采用不同机器制作，仿真度基本可以达到100%，所有工艺效果都可提前给客户展示，不满意可以根据客户要求进行调整，直到满意为止！】
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信176555708】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信176555708】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
留信网服务项目：
1、留学生专业人才库服务（留信分析）
2、国（境）学习人员提供就业推荐信服务
3、留学人员区块链存储服务
→ 【关于价格问题（保证一手价格）】
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：客户在留信官方认证查询网站查询到认证通过结果后付款，不成功不收费！
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REG.pptx
- 1. 1 EASWARI ENGINEERING COLLEGE (AUTONOMOUS) GROUP PRESENTATION STATISTICS FOR MANAGERIAL DECISIONS
- 3. CORRELATION 3 Correlation is a statistical term describing the degree to which two variables move in coordination with one another. If the two variables move in the same direction, then those variables are said to have a positive correlation. If they move in opposite directions, then they have a negative correlation. There is no association or relevant relationship between the two variables.
- 4. Model of 3 types of correlation 4
- 5. REAL LIFE APPLICATION POSITIVE CORRELATION: ◉ When the demand for a product goes up, the price also goes up; when demand decreases, the price decreases as well. ◉ When an employee works more hours, their paycheck also increases. ◉ Hiring more salespeople will result in the company making more sales. 5
- 6. NEGATIVE CORRELATION: ◉ If a car decreases speed, travel time to a destination increases. ◉ The more time you study or prepare for a test, the fewer mistakes you'll make. ◉ The more you pay off a loan, the less debt you'll be in. 6
- 7. ZERO CORRELATION: ◉ The weight of the student and his/her score in the exams, i.e., one can not analyze the scores of a person will obtain in any exam by knowing the weight of that person. ◉ The height of a person and the salary he/she earn, i.e., if you know the height of a person you can not estimate the income of that person. 7
- 8. REGRESSION Regression analysis is a predictive modeling technique that analyzes the relation between the target or dependent variable and independent variable in a dataset. It involves determining the best fit line, which is a line that passes through all the data points in such a way that distance of the line from each data point is minimized. 8
- 9. TYPES OF REGRESSION 1. Linear Regression 2. Logistic Regression 9
- 10. LINEAR REGRESSION: It is used as a model for understanding the association between the independent and dependent variables. These models are utilized to foresee the connection between two quantitative variables where the predictor variables are known as an independent variable and the variable which is being predicted is called a dependent variable. FOR EXAMPLE, Suppose we want to predict the price of a house based on its Area, Garage Area, Land Contour, Utilities, etc. So here “price” will be the dependent variable and “Area, Garage Area, Land Contour, Utilities” will be the independent variable.
- 11. REAL LIFE EXAMPLES OF LINEAR REGRESSION ◉ Businesses frequently use Linear regression to comprehend the connection between advertising spending and revenue. For example, they might use the Liner regression model using advertising spend as an independent variable or predictor variable and revenue as the response variable. ◉ Agriculture scientists frequently use Linear regression to see the impact of rainfall and fertilizer on the number of fruits/vegetables yielded For example, scientists might use different amounts of fertilizer and see the effect of rain on different fields and see how it affects crop yield. They might fit a multiple linear regression using rainfall and fertilizer as the predictor variables and crop yield as the dependent variable or response variable. 11
- 12. KINDS OF RELATIONSHIP OF A LINEAR REGRESSION 1. Positive Relationship : When the regression line between the two variables moves in the same direction with an upward slope then the variables are said to be in a Positive Relationship, it means that if we increase the value of x (independent variable) then we will see an increase in our dependent variable. 12
- 13. 13 2. Negative Relationship : When the regression line between the two variables moves in the same direction with a downward slope then the variables are said to be in a Negative Relationship it means that if we increase the value of an independent variable (x) then we will see a decrease in our dependent variable (y)
- 14. 3. No Relationship : If the best fit line is flat (not sloped) then we can say that there is no relationship among the variables. It means there will be no change in our dependent variable (y) by increasing or decreasing our independent variable (x) value. 14
- 15. LOGISTIC REGRESSION: Logistic regression is one of the types of regression analysis technique, which gets used when the dependent variable is discrete. Example: 0 or 1, true or false, etc. Logistic regression predicts the probability of an outcome that can only have two values (i.e. a dichotomy). The prediction is based on the use of one or several predictors (numerical and categorical). 15
- 16. 16 REAL LIFE EXAMPLE OF LOGISTIC REGRESSION Medical researchers want to know how exercise and weight impact the probability of having a heart attack. To understand the relationship between the predictor variables and the probability of having a heart attack, researchers can perform logistic regression. The response variable in the model will be heart attack and it has two potential outcomes: • A heart attack occurs. • A heart attack does not occur. The results of the model will tell researchers exactly how changes in exercise and weight affect the probability that a given individual has a heart attack. The researchers can also use the fitted logistic regression model to predict the probability that a given individual has a heart attacked, based on their weight and their time spent exercising.
- 17. LEAST SQUARE METHOD The least-squares method is a form of mathematical regression analysis used to determine the line of best fit for a set of data, providing a visual demonstration of the relationship between the data points. Each point of data represents the relationship between a known independent variable and an unknown dependent variable. 17
- 18. APPLICATION OF LEAST SQUARE . 18 To illustrate, consider the case of an investment considering whether to invest in a gold mining company. The investor might wish to know how sensitive the company’s stock price is to changes in the market price of gold. To study this, the investor could use the least-squares method to trace the relationship between those two variables over time onto a scatter plot. This analysis could help the investor predict the degree to which the stock’s price would likely rise or fall for any given increase or decrease in the price of gold.
- 19. THANK YOU 19