The Web site http://gradeinflation.com presents a model that can be used to predict the

Chapter 14, Problem 5

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The Web site http://gradeinflation.com presents a model that can be used to predict the mean grade point average (GPA) of a school, y. The model presented is yn = 2.8 + 0.005x1 + 0.2x2, where x1 represents the rejection rate of the school (the percentage of students who apply, but are not accepted) and x2 is an indicator variable such that 0 represents a public school and 1 represents a private school. (a) Interpret the slope coefficients of the model. (b) Predict the mean GPA of a private school with a rejection rate of 28%. (c) Predict the mean GPA of a public school with a rejection rate of 14%.

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