A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers 3 5 3 2 6 2 5 6 8 GPA 2.8 2.4 |2.3 2.5 2.2 3.5 1.9 2.1 1.6 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: PC 0 `Ha: p * 0 The p-value is: (Round to four decimal places)d. r%-= (Round to two decimal places) e. Interpret 'r2 : (O There is a 64% chance that the regression line will be a good predictor for GPA based on the number of lovers a student has had. (O 64% of all students will have the average GPA. There is a large variation in students' GPAs, but if you only look at students who have had a fixed number of lovers, this variation on average is reduced by 64%. (O Given any group of students who have all had the same number of lovers, 64% of all of these studetns will have the predicted GPA. f. The equation of the linear regression line is: Y = + x (Please show your answers to two decimal placs) g. Use the model to predict the GPA of a college student who as had 4 lovers. GPA = (Please round your answer to one decimal place.)