14. A college administrator wonders whether there is a relationship between how much time a student spends on Instagram and how they perform in school. She thinks that she can predict a student's GPA by measuring their Instagram use. In order to investigate this, she gives a sample of 23 students a survey about how many minutes they spend a day on Instagram. She then looks up the students' GPA. Use the summary statistics below to answer the following questions. (Make sure you know which variable is X and which is Y): Descriptive Statistics Mean Std. Deviation N GPA 3.14 0.39 23 Number of minutes spent on Instagram (daily) 62.17 48.64 23 r= 7 - 0.41 a) Calculate the slope (2pt), the intercept (2pt) and determine the equation for the regression line (1pt). **Note: Write the answers for questions a-e to 4 decimal places.** b) Calculate the coefficient of determination. (1 pt) What does this number mean for this study? (1 pt) c) Calculate the variance of the estimate (s?esty) (2 pts). What does this number represent? (1 pt) d) What is the value of the coefficient of non-determination? (1 pts) e) What GPA would you predict for a student who sent spends 50 minutes a day on Instagram? (1 pts)