A researcher wanted to predict academic achievement using Intelligence Test-A (IT-A), Intelligence Test-B (IT-B), Type of school (rural/urban), and conscientiousness as predictors. She used multiple regression analysis. She collected data on 200 students on all variables. The OLS estimator was used. The F = 8.9, p < .01 for the entire model. In individual predictor analysis, IT-B was the insignificant predictor. The suitable test indicated homoscedasticity. The model R² = 0.64 and adjusted R² = 0.59. Both intelligence tests are significantly correlated with the criterion variable and with each other.
Which of the following is df for F for the entire model?
Pick an option to check yourself, or open the answer below.
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Correct answer: A. 4; 195
Explanation
F for the whole model has df = k and N − k − 1 = 4 and 200 − 4 − 1 = 195 (options 1 and 3 are printed identically).
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