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

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Basic Math

To test whether extracurricular activity is a good predictor ofcollege success, a college administrator records whether studentsparticipated in extracurricular activities during high school andtheir subsequent college freshman GPA.

Extracurricular
Activity		College
Freshman GPA
Yes3.48
Yes3.30
Yes3.87
Yes3.75
No3.00
No3.86
No3.39
No2.75
No3.86
No2.76

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

2. A psychologist noted that people have more difficultysleeping in a bright room than in a dark room. She measured whetherthe intensity of the light could predict the time it took a sampleof 4 participants to fall asleep. The data for this hypotheticalstudy are listed in the following table.

Intensityof
Light (in watts)		Time ItTook to
Sleep (in minutes)
XY
513
1020
2032
4037


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

Sourceof
Variation		SSdfMSFobt
Regression
Residual(error)
Total

3.

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