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 3.10

2 2.86

3 2.98

4 2.86

5 2.97

6 3.05

7 3.05

8 2.99

9 3.20

10 3.16

11 3.13

b. Using ?=0.01?, determine if the slope for the regression equation is statistically significant.

Determine the null and alternative hypotheses.

H0?: ??

greater than

>

greater than or equals

?

equals

=

not equals

?

less than

less than or equals

?

0

H1?: ??

less than

greater than

>

less than or equals

?

greater than or equals

?

not equals

?

equals

=

0

The test statistic is t=

nothing

.

?(Round to two decimal places as?needed.)

The?p-value is

nothing

.

?(Round to four decimal places as?needed.)

The slope for the regression equation ?

is

is not

statistically significant because the?p-value is ?

greater

less

than the value of ?.

c. What conclusions can be drawn about grade inflation over this time?period?

There ?

appears

does not appear

to be evidence of grade inflation for the students at the university.

a. Construct a scatter plot for these data using technology. Choose the correct scatter plot below. O C. O D. O A. OB. 35- 3.5-1 35- 3.5-1 O ooo O O GPA 3- GPA 3- O O GPA 3- GPA O 2.5+ 2.5+ TT TT 2.5+ 6 12 2.5- 12 TT 12 Year 12 Year Year Year