The Ruggles College Director of Admissions believes that the relationship between a studentĂ˘â‚¬â„˘s scores on the critical reading component of the SAT and the studentĂ˘â‚¬â„˘s freshman GPA varies with the studentĂ˘â‚¬â„˘s score on the mathematics component of the SAT. Develop an estimated multiple regression equation that includes critical reading and mathematics SAT scores and their interaction as independent variables. How much variation in freshman GPA is explained by this model? Test whether each of the regression parameters b0, b1, b2, and b3 is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Do these results support the conjecture made by the Ruggles College Director of Admissions? d. Do you prefer the estimated regression model developed in part (a) or part (c)? Explain. e. What other factors could be included in the model as independent variables?
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