(I don't think programming is needed at all for this question but if it is please use the R programming language.)

ructions: This homework assignment is due Monday February 24 at the beginning of class Questions on this sheet of paper if you need another copy you can print it from Math 390 Spring 2020 in print it from Blackboard). 1 Suppose we have a data set with have predictors, A1 =GPA, X2 IQ. X Gender if for Male). X Interaction between GPA and IQ, and X Interaction betwCPA Cender The response is starting salary alter graduation in thousands of dollars) Sum least squares to fit the model and we get Bo = 50, B. = 20, B2 = 0.07, Bs = 35, Be=0.01, and Bs = -10. (a) Which of the following is correct and why? For a fixed value of IQ and GPA, males earn more on average than females ii. For a fixed value of IQ and GPA, males earn more on average than females provided that the GPA is high enough. iii. For a fixed value of IQ and GPA, females earn more on average than males provided that the GPA is high enough. (b) Predict the salary of a female with IQ of 110 and a GPA of 4.0. (c) True or False: Since the coefficient for the GPA/I interaction term is very small, there is very little evidence of an interaction effect. Justify your answer. 1 of 10 ructions: This homework assignment is due Monday February 24 at the beginning of class Questions on this sheet of paper if you need another copy you can print it from Math 390 Spring 2020 in print it from Blackboard). 1 Suppose we have a data set with have predictors, A1 =GPA, X2 IQ. X Gender if for Male). X Interaction between GPA and IQ, and X Interaction betwCPA Cender The response is starting salary alter graduation in thousands of dollars) Sum least squares to fit the model and we get Bo = 50, B. = 20, B2 = 0.07, Bs = 35, Be=0.01, and Bs = -10. (a) Which of the following is correct and why? For a fixed value of IQ and GPA, males earn more on average than females ii. For a fixed value of IQ and GPA, males earn more on average than females provided that the GPA is high enough. iii. For a fixed value of IQ and GPA, females earn more on average than males provided that the GPA is high enough. (b) Predict the salary of a female with IQ of 110 and a GPA of 4.0. (c) True or False: Since the coefficient for the GPA/I interaction term is very small, there is very little evidence of an interaction effect. Justify your answer. 1 of 10