QUESTION 11

Chapter 13 Question 1a

A professor wants to conduct a study in a statistics class to measure the effect of solving problems at home on the performance on the final exam. She collected data at random for 20 students from a class on the number of hours spent in a week doing problem sets at home (X) and their score on the final exam (Y), as shown in the following table. Answer questions (a) through (d) based on this data.

X = # of hrs/week 24 10 20 6 5 21 23 18 19 12 16 6 19 5 22 12 20 15 18 10

Y = score on the final 100 72 90 63 59 90 98 89 86 73 85 66 86 64 96 73 94 85 85 70

The regression slope is__________

and the vertical intercept is__________

.

The predicted final score of a student who studies for 12 hours every week is________

.

The coefficients of determination is__________

and coefficient of non-determination is___________

.

Perform an F-test for the significance of the regression at 0.05 level of significance. Answer if you found the model to be "significant" or "not significant" based on this test._____________