The following data are from a random sample of 10 students who participated in a study undertaken to investigate the effect of sleep time (measured in average number of hours of sleep per night) on GPA (grade point average, measured on a 4-point scale). Student Sleep time GPA 1 7 3.28 2 9 3.16 3 8 3.75 4 6 2.50 5 4 2.45 6 8 2.91 7 7 3.53 8 6 3.02 9 3 2.30 10 8 3.48 a. Find the equation between GPA (y) as function of sleep time (x). b. What is the estimated GPA of a student who averages 5 hours of sleep per night? c. What is the coefficient of determination?  *(no use EXCEL)

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The following data are from a random sample of 10 students who participated in a study undertaken to investigate the effect of sleep time (measured in average number of hours of sleep per night) on GPA (grade point average, measured on a 4-point scale).

Student

Sleep time

GPA

1

7

3.28

2

9

3.16

3

8

3.75

4

6

2.50

5

4

2.45

6

8

2.91

7

7

3.53

8

6

3.02

9

3

2.30

10

8

3.48

a. Find the equation between GPA (y) as function of sleep time (x).

b. What is the estimated GPA of a student who averages 5 hours of sleep per night?

c. What is the coefficient of determination? 

*(no use EXCEL)

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