The Center for the Study of Collegiate Mental Health (CSCMH) at Penn State conducted a study that shows a clear link between alcohol abuseand academic performance. The study's data illustrate a strong inverse correlation between grade-point average and consumption of alcoholic beverages. School administrators would like to know if the number of binge drinking episodes can predict a student's GPA. The summary statistics for a sample of 11 people are shown below.Use the summary statistics below to answer the following questions.**Note: Write the answers to 4 decimal places.**

(Make sure you know which variable is Y and which is X):

The Center for the Study of Collegiate Mental Health (CSCMH) at Penn State conducted a study that shows a clear link between alcohol abuse and academic performance. The study's data illustrate a strong inverse correlation between grade-point average and consumption of alcoholic beverages. School administrators would like to know if the number of binge drinking episodes can predict a student's GPA. The summary statistics for a sample of 11 people are shown below. Use the summary statistics below to answer the following questions. **Note: Write the answers to 4 decimal places.** (Make sure you know which variable is Y and which is X): Descriptive Statistics Mean td. Deviat N GPA 3.03 1.17 11 Number of binge drinking episodes 5.00 3.32 11 (in one month) r=-.75 a) Calculate the slope (2pt), the intercept (2pt) and determine the equation for the regression line (1pt). b) Calculate the coefficient of determination. (1 pt) What does this number mean for this study? Be specific with the variables. (1 pt) c) Calculate the estimated variance of the estimate (S'esty) (2 pts). What does this number represent? (1 pt) d) Calculate the coefficient of non-determination. (1 pt) e) What GPA would you predict for a student who has had 6 binge drinking episodes in one month? (1 pt)