In: Math
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.