The grade point averages (GPA) in high school and in college of 10 randomly selected students...

 

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The grade point averages (GPA) in high school and in college of 10 randomly selected students are given in Table P17.17. TABLE P17.17 Student -234567890 10 GPA College High school 3.4 3.1 3.8 3.2 3.0 4.0 3.5 4.2 4.8 4.5 2.2 2.9 3.9 3.1 4.6 5.0 2.2 2.8 4.9 4.9 You want to explain the college GPA by the students' performance in high school. (a) Draw the scatter diagram. (b) Find the ordinary least-squares line. What is your interpretation of the intercept and the slope of the line? (c) Show that e = 0. (d) Calculate the standard error of estimate, S., and the standard deviation of Y, Sy. (e) Does the ratio between S, and S, indicate the strength of the relationship between the variables? Explain. The grade point averages (GPA) in high school and in college of 10 randomly selected students are given in Table P17.17. TABLE P17.17 Student -234567890 10 GPA College High school 3.4 3.1 3.8 3.2 3.0 4.0 3.5 4.2 4.8 4.5 2.2 2.9 3.9 3.1 4.6 5.0 2.2 2.8 4.9 4.9 You want to explain the college GPA by the students' performance in high school. (a) Draw the scatter diagram. (b) Find the ordinary least-squares line. What is your interpretation of the intercept and the slope of the line? (c) Show that e = 0. (d) Calculate the standard error of estimate, S., and the standard deviation of Y, Sy. (e) Does the ratio between S, and S, indicate the strength of the relationship between the variables? Explain.