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- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Statistics_Through_an_Equity_Lens_(Anthony)/01%3A_Chapters/1.06%3A_Correlation_and_Regression_AnalysisThe page discusses the impact of a U.S. Supreme Court ruling on affirmative action and its implications for diversity in higher education and healthcare. It examines statistical concepts like inferent...The page discusses the impact of a U.S. Supreme Court ruling on affirmative action and its implications for diversity in higher education and healthcare. It examines statistical concepts like inferential analysis, emphasizing the distinction between correlation and causation. Correlation measures the linear relationship between variables, while regression predicts dependent variables based on independent ones through equations.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Statistics_Through_an_Equity_Lens_(Anthony)/01%3A_Chapters/1.05%3A_Significance_of_Statistical_Inference_MethodsThis chapter explores inferential statistics, focusing on concepts such as confidence intervals, hypothesis testing, and errors in statistical inference. It emphasizes the importance of understanding ...This chapter explores inferential statistics, focusing on concepts such as confidence intervals, hypothesis testing, and errors in statistical inference. It emphasizes the importance of understanding sampling variations and discusses tests like t-tests and chi-square tests. It also touches on the misuse of statistics in scientific racism, emphasizing the need for socially just statistical methods. The chapter links statistical inference to broader societal issues.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Basic_Statistics_Using_R_for_Crime_Analysis_(Choi)/01%3A_Chapters/1.09%3A_CorrelationThis page provides an introduction to correlation, focusing on the Pearson product-moment correlation coefficient, which measures the linear relationship between two variables. It clarifies the miscon...This page provides an introduction to correlation, focusing on the Pearson product-moment correlation coefficient, which measures the linear relationship between two variables. It clarifies the misconception that correlation does not imply causation, explaining that while necessary, correlation alone is not sufficient for causation. The text elaborates on calculating and interpreting Pearson's r, using the USArrests dataset as an example.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Basic_Statistics_Using_R_for_Crime_Analysis_(Choi)/01%3A_Chapters/1.10%3A_Linear_RegressionThis page provides an introduction to regression analysis, highlighting its relationship with correlation analysis. Regression is a statistical method used to understand and predict the relationship b...This page provides an introduction to regression analysis, highlighting its relationship with correlation analysis. Regression is a statistical method used to understand and predict the relationship between dependent and independent variables. The chapter focuses on simple and multiple linear regression, explained through an inmate survey study assessing the impact of low self-control and age on risky lifestyles.
- https://stats.libretexts.org/Courses/Fort_Hays_State_University/Elements_of_Statistics/08%3A_Linear_Correlation_and_Regression/8.03%3A_Introduction_to_Simple_Linear_RegressionIf there is a linear relationship, it seems appropriate to think that there is a linear function that models the relationship giving us deeper understanding of the relationship and allow us to extrapo...If there is a linear relationship, it seems appropriate to think that there is a linear function that models the relationship giving us deeper understanding of the relationship and allow us to extrapolate values that were not explicitly measured in our collection of the data. In essence, such a function would enable us to make predictions about cases that were not explicitly studied. This section develops the ideas of constructing a linear function that is the best fit for the data at hand.
