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. 0| 2 3 0 9 7 79 71 78 Time 1 13 12 Score 61 58 60 59 68 83 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ?v = 0 H: ? + 0 The p-value is: (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 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 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. 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 a student who spends more time studying will score higher on the final exam than a student who spends less time studying. d. = e. Interpret r: (Round to two decimal places) O Given any group that spends a fixed amount of time studying per week, 79% of all of those students will receive the predicted score on the final exam. O There is a 79% 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 79%. O 79% of all students will receive the average score on the final exam. f. The equation of the linear regression line is: z (Please show your answers to two decimal places) g. Use the model to predict the final exam score for a student who spends 11 hours per week studying. (Please round your answer to the nearest whole number.) Final exam score = 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 1.67 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: O The y-intercept has no practical meaning for this study. O The average final exam score is predicted to be 60. O The best prediction for a student who doesn't study at all is that the student will score 60 the final exam. O f a student does not study at all, then that student will score 60 on the final exam.