Read the following description of a data set.A 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, x, and the number of officially recognized student organizations, y, for several colleges.The least squares regression line of this data set is:y=0.029x+31.556Complete the following sentence:For each additional student, the least squares regression line predicts there would be ___ more student organizations.
Q. Read the following description of a data set.A 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, x, and the number of officially recognized student organizations, y, for several colleges.The least squares regression line of this data set is:y=0.029x+31.556Complete the following sentence:For each additional student, the least squares regression line predicts there would be ___ more student organizations.
Analyze regression equation: Analyze the given regression equation y=0.029x+31.556. Here, the coefficient of x (0.029) represents the slope of the regression line.
Interpret slope: Interpret the slope: The slope of 0.029 means that for each additional student (increase in x by 1), the number of student organizations (y) is predicted to increase by 0.029.