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Read the following description of a data set.\newlineA reporter for a college magazine is writing a feature about student participation in on-campus organizations. He wants to see if there is a relationship between student population and the number of on-campus organizations.To begin, he recorded the number of students, xx, and the number of officially recognized student organizations, yy, for several colleges.The least squares regression line of this data set is:y=0.029x+31.556y = 0.029x + 31.556\newlineComplete the following sentence:\newlineFor each additional student, the least squares regression line predicts there would be ___ more student organizations.

Full solution

Q. Read the following description of a data set.\newlineA reporter for a college magazine is writing a feature about student participation in on-campus organizations. He wants to see if there is a relationship between student population and the number of on-campus organizations.To begin, he recorded the number of students, xx, and the number of officially recognized student organizations, yy, for several colleges.The least squares regression line of this data set is:y=0.029x+31.556y = 0.029x + 31.556\newlineComplete the following sentence:\newlineFor each additional student, the least squares regression line predicts there would be ___ more student organizations.
  1. Analyze regression equation: Analyze the given regression equation y=0.029x+31.556y = 0.029x + 31.556. Here, the coefficient of xx (0.0290.029) represents the slope of the regression line.
  2. Interpret slope: Interpret the slope: The slope of 0.0290.029 means that for each additional student (increase in xx by 11), the number of student organizations (yy) is predicted to increase by 0.0290.029.

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