Question: A statistics instructor is interested in the correlation (Pearson r) between how many hours a student sleeps the night before the final examination and the students score on the final examination. Use the following information to answer the questions below.
|
Student
|
Sleep (hrs)
|
Final
|
|
Barbara
|
8
|
96
|
|
Michael
|
6.3
|
75
|
|
Tina
|
10.5
|
88
|
|
Sharene
|
6.8
|
65
|
|
Destiny
|
8.5
|
82
|
|
Courtney
|
7.5
|
70
|
|
William
|
9
|
100
|
|
Kobe
|
7.5
|
84
|
|
Missy
|
6.5
|
73
|
|
Jose
|
8.2
|
96
|
|
Jeffrey
|
8.7
|
87
|
(a) Compute a Pearson's correlation coefficient for these data.
(b) Determine whether the correlation is significant.
(d) Calculate the regression slope and Y-intercept.
(e) Use the regression equation to predict the final examination grade for a student who sleeps 7.0 hours.