A university is concerned about the presence of grade?inflation, which is defined as an increase in the average GPA of the?institution's students over time without a comparable increase in academic standards. To investigate this?phenomenon, the average GPA for the student body was recorded over the past 11?years, as shown to the right. Complete parts a through c.

Year GPA

1 3.05

2 2.86

3 2.94

4 2.84

5 2.98

6 3.06

7 3.10

8 3.02

9 3.20

10 3.12

11 3.17

b. Using a = 0.01, determine if the slope for the regression equation is statistically significant. Determine the null and alternative hypotheses. Ho: P H1 : B O The test statistic is t = (Round to two decimal places as needed.) The p-value is (Round to four decimal places as needed.) The slope for the regression equation statistically significant because the p-value is than the value of a. c. What conclusions can be drawn about grade inflation over this time period? There to be evidence of grade inflation for the students at the university