It has been argued that like books and stories, television not only entertains, it also exposes a child to new information about the world. While watching too much television is harmful, a little bit may actually help. The accompanying data file contains information on the grade point average (GPA) of 28 middle school children and the number of hours of television they watched per
It has been argued that like books and stories, television not only entertains, it also exposes a child to new information about the world. While watching too much television is harmful, a little bit may actually help. The accompanying data file contains information on the grade point average (GPA) of 28 middle school children and the number of hours of television they watched per week.
| GPA | Hours |
| 3.24 | 19 |
| 3.1 | 21 |
| 3.24 | 18 |
| 2.61 | 30 |
| 3.03 | 23 |
| 3.37 | 10 |
| 1.6 | 36 |
| 3.2 | 10 |
| 2.96 | 13 |
| 2.18 | 31 |
| 2.5 | 33 |
| 2.95 | 4 |
| 2.72 | 25 |
| 3.05 | 21 |
| 3.45 | 8 |
| 2.49 | 27 |
| 3.62 | 11 |
| 2.33 | 29 |
| 2.36 | 30 |
| 3.28 | 10 |
| 3.35 | 15 |
| 2.64 | 18 |
| 2.88 | 24 |
| 2.02 | 29 |
| 2.6 | 22 |
| 3.18 | 21 |
| 3.31 | 4 |
1. Estimate a quadratic regression model where the GPA of middle school children is regressed on hours and hours-squared.
Note: Negative values for regression coefficients should be indicated by a minus sign. Round your answers to 2 decimal places.
2. Is the quadratic term in this model justified?
3. Find the optimal number of weekly hours of TV for middle school children.
Note: Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.
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