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Correlation and Regression:

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  Chapter 9: Correlation and Regression: Solutions   9.1     Correlation   In this section, we aim to answer the question: Is there a relationship between A and B? Is there a relationship between the number of employee training hours and the number of on-the-job accidents? Is there a relationship between the number of hours a person sleeps and their reaction time? Is there a relationship between the number of hours a student spends studying for a calculus test and the student’s score on that calculus test? Definition : a correlation is a relationship between two variables. Typically, we take x to be the independent variable . We take y to be the dependent variable . Data is represented by a collection of ordered pairs ( x, y ). Mathematically, the strength and direction of a linear relationship between two variables is represented by the correlation coefficient . Suppose that ther...