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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
84
Missy
6.5
73
Jose
8.2
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.
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