C. Predicting Student Success STA believes there is a relationship between high school GPA (on a four-point scale) and college performance (as measured by GPA on a four-point scale). The following data were randomly selected from among students enrolling Fall 2020. Student HS GPA 3.6 STA GPA 3.4 Student HS GPA STAGPA 2.5 1 2.9 21 2 3.4 3.1 22 3.4 2.9 4.0 3 3.1 3.0 23 1.7 4 2.9 1.7 24 3.5 3.2 3.4 3.0 25 4.0 3.3 3.6 3.6 26 3.6 3.2 7 3.1 3.0 27 3.8 3.9 4.0 3.9 28 3.4 3.2 3.0 3.0 29 3.6 3.7 30 31 10 2.9 2.0 4.0 4.0 11 3.3 3.0 3.3 3.2 12 3.6 3.8 32 3.7 3.2 3.4 13 3.7 3.9 33 3.0 14 3.8 3.6 34 2.5 2.0 15 2.5 2.5 35 2.9 2.9 16 2.9 2.8 2.5 36 3.8 3.7 17 2.1 37 2.9 2.2 3.6 3.6 3.6 18 3.8 1.7 38 19 3.7 3.5 39 3.5 20 3.9 3.0 40 3.1 3.6 How confident should St. Mary's be regarding the accuracy of their predictions?

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C. Predicting Student Success
STA believes there is a relationship between high school GPA (on a four-point scale) and college performance (as measured by GPA on a
four-point scale). The following data were randomly selected from among students enrolling Fall 2020.
HS GPA
STA GPA
Student
1
HS GPA
STAGPA
Student
21
2.9
2.5
3.6
3.4
2
3.4
3.1
3.0
22
3.4
4.0
1.7
3
3.1
23
2.9
2.9
1.7
3.0
3.2
3.3
4
24
3.5
5
3.4
25
4.0
3.6
3.6
3.0
26
3.6
3.8
3.2
3.9
3.1
27
8.
4.0
3.9
28
3.4
3.6
3.2
9.
3.0
3.0
29
3.7
10
2.9
2.0
3.0
30
4.0
3.3
4.0
3.2
11
3.3
31
12
3.6
3.8
32
3.7
3.2
3.4
3.0
13
3.7
3.9
33
14
3.8
3.6
34
2.5
2.0
15
2.5
2.5
35
2.9
2.9
3.7
2.2
16
2.9
2.5
36
3.8
17
2.8
2.1
37
2.9
18
3.8
1.7
3.5
38
3.6
3.5
3.6
19
3.7
39
3.6
20
3.9
3.0
40
3.1
3.6
How confident should St. Mary's be regarding the accuracy of their predictions?
Why?
Transcribed Image Text:C. Predicting Student Success STA believes there is a relationship between high school GPA (on a four-point scale) and college performance (as measured by GPA on a four-point scale). The following data were randomly selected from among students enrolling Fall 2020. HS GPA STA GPA Student 1 HS GPA STAGPA Student 21 2.9 2.5 3.6 3.4 2 3.4 3.1 3.0 22 3.4 4.0 1.7 3 3.1 23 2.9 2.9 1.7 3.0 3.2 3.3 4 24 3.5 5 3.4 25 4.0 3.6 3.6 3.0 26 3.6 3.8 3.2 3.9 3.1 27 8. 4.0 3.9 28 3.4 3.6 3.2 9. 3.0 3.0 29 3.7 10 2.9 2.0 3.0 30 4.0 3.3 4.0 3.2 11 3.3 31 12 3.6 3.8 32 3.7 3.2 3.4 3.0 13 3.7 3.9 33 14 3.8 3.6 34 2.5 2.0 15 2.5 2.5 35 2.9 2.9 3.7 2.2 16 2.9 2.5 36 3.8 17 2.8 2.1 37 2.9 18 3.8 1.7 3.5 38 3.6 3.5 3.6 19 3.7 39 3.6 20 3.9 3.0 40 3.1 3.6 How confident should St. Mary's be regarding the accuracy of their predictions? Why?
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