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

Question

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.

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

Extracurricular
Activity College
Freshman GPA Yes 3.54 Yes 3.37 Yes 3.86 Yes 3.71 No 2.92 No 3.80 No 3.39 No 2.73 No 3.83 No 2.76

Explanation / Answer

= ( 3.62 - 3.23 ) / 0.443 * Sqrt[ ( 4 * 6 ) / (33.91)^2 ]

= 0.8803 * 0.1444

= 0.127

Yes No n 4 6 Mean 3.62 3.23 Score 14.48 19.43 Combined Standard Deviation 0.442379

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