Project A researcher was interested in examining the relationship between exposure to sexual content on
Project
A researcher was interested in examining the relationship between exposure to sexual content on TV and sexual behavior among adolescents. The study consisted of a survey of adolescents, 12 to 17 years old, who reported their TV viewing habits as well as their sexual behaviors.
The data is presented below. Use SPSS to help you answer the following questions.
Note: You may copy and paste the data in SPSS but make sure the data is entered correctly. Data entry errors automatically reduce you one letter grade (i.e., 10 points).
|
Number of Minutes of
Sexual Encts Sex TV |
Age | GPA | Self-Esteem | |
| 4 | 30 | 12 | 3.75 | 88 |
| 12 | 110 | 16 | 3.21 | 68 |
| 10 | 260 | 17 | 2.68 | 55 |
| 22 | 356 | 17 | 2.00 | 50 |
| 3 | 55 | 15 | 3.45 | 75 |
| 5 | 46 | 14 | 3.87 | 75 |
| 15 | 200 | 13 | 1.59 | 45 |
| 10 | 230 | 17 | 2.33 | 45 |
| 7 | 45 | 14 | 3.00 | 99 |
| 25 | 400 | 16 | 3.00 | 77 |
| 14 | 31 | 15 | 2.75 | 75 |
| 6 | 25 | 12 | 2.43 | 80 |
| 12 | 100 | 13 | 3.23 | 85 |
| 2 | 20 | 12 | 3.50 | 92 |
| 18 | 145 | 14 | 2.25 | 66 |
| 2 | 21 | 13 | 3.50 | 78 |
| 4 | 52 | 13 | 2.89 | 80 |
| 10 | 120 | 15 | 2.75 | 70 |
| 3 | 60 | 12 | 3.10 | 90 |
| 16 | 180 | 17 | 2.96 | 35 |
| 5 | 227 | 13 | 2.50 | 55 |
| 14 | 125 | 16 | 2.50 | 65 |
| 8 | 90 | 15 | 3.30 | 75 |
| 1 | 88 | 14 | 3.60 | 83 |
| 15 | 360 | 16 | 2.15 | 35 |
| 4 | 30 | 12 | 2.90 | 77 |
| 13 | 225 | 14 | 2.55 | 50 |
| 3 | 25 | 15 | 3.70 | 90 |
| 12 | 475 | 16 | 1.50 | 45 |
| 18 | 524 | 15 | 1.75 | 25 |
Report (do not calculate unless asked) all information from SPSS – do not use any tables (i.e., t* or F*) unless specifically asked.
Consider all predictor variables available to predict risk. Use SPSS to find the ‘best subset’ for the Forward, Backward, and Stepwise selection methods.
- Report the ‘best subset’ for the forward method.
- Report the ‘best subset’ for the backward method.
- Report the ‘best subset’ for the stepwise method.
- Report the model you would choose as your ‘best subset’. Provide justification for your choice.
Solution:
(1) Forward Method : The following results are obtained using the forward method:
The best model in this case is
\[Sexual\,\,Encts=4.901+0.031MinSexTV\]In other words, the only predictor included in the final model is MinSexTV . The amount of variation in SexualEncts explained by this model is 49.8%
(2) Backward Method
The following is obtained using SPSS:
The best model in this case is
\[Sexual\,\,Encts=-1.317+1.698Age-4.755GPA\]In other words, the only two predictors included in the final model are Age and GPA . The amount of variation in SexualEncts explained by this model is 52.5%
(3) Stepwise Method
Finally, we get
The best model in this case is
\[Sexual\,\,Encts=4.901+10.031MinSexTV\]In other words, the only predictor included in the final model is MinSexTV . The amount of variation in SexualEncts explained by this model is 49.8%.
(4) The best model in terms of the amount of variation explained and in terms of minimizing the standard error of the estimate is the model obtained with the backward method, and the best model is
\[Sexual\,\,Encts=-1.317+1.698Age-4.755GPA\]which explains 52.5% of the variation.
Deliverable: Word Document
