You are a member of a group of researchers who study the readingability of children. You would like to know if any of the followingfactors have an effect on the reading ability of a child: age,memory span, and IQ. You conduct a pilot study on a small group of20 children. From the initial finding, you will makerecommendations to your group on further research.
A. Build three different regression models theusing the variables as shown below. Review the results anddetermine which is the model is the “best”.
Models | Dependent variable | Independent variables |
Model 1 | reading_ability | age |
Model 2 | reading_ability | memory_span |
Model 3 | reading_ability | iq |
1. What is the ANOVA table of the best model?
2. What is the regression equation of the best model?
3. Conduct the test for the significance of the OverallRegression Model for the best model?
4. What is R2 of the best model?
5. For the best model, what are the 95% confidence intervals forthe estimates of the regression coefficients—theBi’s?
6. Provide an interpretation of the slopes,bi’s.
| age | memory_span | IQ | reading_ability | |
| 6.7 | 4.4 | 95 | 7.2 | |
| 5.9 | 4 | 90 | 6 | |
| 5.5 | 4.1 | 105 | 6 | |
| 6.2 | 4.8 | 98 | 6.6 | |
| 6.4 | 5 | 106 | 7 | |
| 7.3 | 5.5 | 100 | 7.2 | |
| 5.7 | 3.6 | 88 | 5.3 | |
| 6.15 | 5 | 95 | 6.4 | |
| 7.5 | 5.4 | 96 | 6.6 | |
| 6.9 | 5 | 104 | 7.3 | |
| 4.1 | 3.9 | 108 | 5 | |
| 5.5 | 4.2 | 90 | 5.8 | |
| 6.9 | 4.5 | 91 | 6.6 | |
| 7.2 | 5 | 92 | 6.8 | |
| 4 | 4.2 | 101 | 5.6 | |
| 7.3 | 5.5 | 100 | 7.2 | |
| 5.9 | 4 | 90 | 6 | |
| 5.5 | 4.2 | 90 | 5.8 | |
| 4 | 4.2 | 101 | 5.6 | |
| 5.9 | 4 | 90 | 6 | |
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