Question

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 in the table to the right. Construct a 90% confidence interval for the regression slope. |
Year |
GPA |
Year |
GPA |
||
---|---|---|---|---|---|---|

1 |
3.08 |
7 |
3.08 |
|||

2 |
2.88 |
8 |
2.98 |
|||

3 |
2.98 |
9 |
3.19 |
|||

4 |
2.87 |
10 |
3.16 |
|||

5 |
2.99 |
11 |
3.15 |
|||

6 |
3.03 |

Construct a 90% confidence interval for the slope.

LCL=

UCL=

Answer #1

from above LCL =0.0072

UCL =0.0366

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 11years, as
shown in the table to the right. Construct a 90% confidence
interval for the slope. LCL= UCL=
(Round to three decimal places as needed.)
Year GPA
1
3.07
2 ...

A university would like to examine the relationship between a
faculty member's performance rating (measured on a scale of
1-20) and his or her annual salary increase. The table to the right
shows these data for eight randomly selected faculty members.
Construct 90% confidence interval for the regression slope.
LCL=
UCL=
Rating
Increase
16
2300
18
2500
11
1700
12
1600
14
2100
15
2600
16
1900
17
1900

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