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In: Math

To test whether extracurricular activity is a good predictor of college success, a college administrator records...

To test whether extracurricular activity is a good predictor of college success, a college administrator records whether students participated in extracurricular activities during high school and their subsequent college freshman GPA.

Extracurricular
Activity
College
Freshman GPA
Yes 3.48
Yes 3.30
Yes 3.87
Yes 3.75
No 3.00
No 3.86
No 3.39
No 2.75
No 3.86
No 2.76

(a) Code the dichotomous variable and then compute a point-biserial correlation coefficient. (Round your answer to three decimal places.)

2. A psychologist noted that people have more difficulty sleeping in a bright room than in a dark room. She measured whether the intensity of the light could predict the time it took a sample of 4 participants to fall asleep. The data for this hypothetical study are listed in the following table.

Intensity of
Light (in watts)
Time It Took to
Sleep (in minutes)
X Y
5 13
10 20
20 32
40 37


Compute an analysis of regression for this hypothetical study. (Round your answers to two decimal places.)

Source of
Variation
SS df MS Fobt
Regression
Residual (error)
Total

3.

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