The Provost has commissioned a study to look at student GPAs relative to the number of hours
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Question:
The Provost has commissioned a study to look at student GPAs relative to the number of hours students have reported watching TV per given week. The data shows student hours reported watching TV per week and the composite average GPA of the students porting their TV habits from an introductory MIS class.
Based on the following sample observations collected and reported by students, determine the regression equation, correlation coefficient, and coefficient of determinants. Then, answer the following questions:
- What is the expected GPA of a student that watches 30 hours per week?
- What is the expected GPA of a student that watches 40 hours per week?
- What is the maximum number of hours you can watch TV to maintain at least a 3.5 GPA?
Observations | Hours Watch TV/week | GPA |
---|---|---|
1 | 8 | 3.99 |
2 | 12 | 3.88 |
3 | 16 | 3.71 |
4 | 22 | 2.80 |
5 | 28 | 3.05 |
6 | 35 | 2.45 |
7 | 34 | 2.15 |
8 | 38 | 2.07 |
9 | 17 | 3.33 |
10 | 33 | 2.31 |
11 | 23 | 2.89 |
12 | 26 | 2.50 |
13 | 3 | 4.00 |
14 | 4 | 4.00 |
15 | 5 | 3.97 |
16 | 5 | 3.88 |
17 | 7 | 4.00 |
18 | 12 | 3.80 |
19 | 11 | 3.77 |
20 | 18 | 3.20 |
21 | 19 | 3.44 |
22 | 16 | 4.00 |
23 | 7 | 4.00 |
24 | 25 | 3.00 |
25 | 3 | 3.29 |
26 | 28 | 2.11 |
27 | 6 | 3.52 |
28 | 15 | 2.77 |
29 | 15 | 3.20 |
30 | 3 | 3.95 |
31 | 21 | 3.28 |
32 | 5 | 4.00 |
33 | 25 | 3.03 |
34 | 21 | 2.88 |
35 | 27 | 2.65 |
36 | 34 | 2.03 |
37 | 8 | 4.00 |
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