Researchers have collected data on the hours of studying in a week and the exam grade of a student. You are given the data below.
Hours of Studying
Exam Grade
1
55
3
75
4
80
3
85
6
99
?
a.
Using the least squares regression line, what would the predicted exam grade be for 5 hours of studying?
b.
Give the prediction interval for the exam grade with 5 hours of studying.
c.
If the exam was only scored to 100, is the entire prediction interval found possible?
?
What will be an ideal response?
| a. | 92.06 |
| b. | 76.88 to 107.24 |
| c. | No, if scores have a maximum of 100, then the interval can only be from 76.88 to 100.00 |
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