What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. Time 1 13 15 3 2 11 8 2 Score 58 78 86 44| 51 68 90 66 52 a. Find the correlation coefficient: r = 0.88 Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: P V = 0 H1: p V 0 The p-value is: 0.0017 (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically significant evidence to conclude that a student who spends more time studying will score higher on the final exam than a student who spends less time studying. O There is statistically insignificant evidence to conclude that there is a correlation between the time spent studying and the score on the final exam. Thus, the use of the regression line is not appropriate. O There is statistically insignificant evidence to conclude that a student who spends more time studying will score higher on the final exam than a student who spends less time studying. O There is statistically significant evidence to conclude that there is a correlation between the time spent studying and the score on the final exam. Thus, the regression line is useful. d. r² - 0.77 (Round to two decimal places) e. Interpret r²: O Given any group that spends a fixed amount of time studying per week, 77% of all of those students will receive the predicted score on the final exam. O 77% of all students will receive the average score on the final exam. O There is a 77% chance that the regression line will be a good predictor for the final exam score based on the time spent studying. O There is a large variation in the final exam scores that students receive, but if you only look at students who spend a fixed amount of time studying per week, this variation on average is reduced by 77%. f. The equation of the linear regression line is: a (Please show your answers to two decimal places) g. Use the model to predict the final exam score for a student who spends 5 hours per week studying. Final exam score = (Please round your answer to the nearest whole number.) h. Interpret the slope of the regression line in the context of the question: O As x goes up, y goes up. O For every additional hour per week students spend studying, they tend to score on averge 2.49 higher on the final exam. O The slope has no practical meaning since you cannot predict what any individual student will score on the final, i. Interpret the y-intercept in the context of the question: