subject
Mathematics, 10.03.2020 01:01 smithsa10630

Suppose we have a data set with five predictors, X1 = GPA, X2 = IQ, X3 = Gender (1 for Female and 0 for Male), X4 = Interaction between GPA and IQ, and X5 = Interaction between GPA and Gender. The response is starting salary after graduation (in thousands of dollars). Suppose we use least squares to fit the model, and get βˆ0 = 50, βˆ1 = 20 , βˆ2 = 0. 07 , βˆ3 = 35 , βˆ4 = 0.01 , βˆ5 = − 10.

Y = 50 + 20(gpa) + 0.07(iq) + 35(gender) + 0.01(gpa * iq) - 10 (gpa * gender)

(A) Which answer is correct, and why?

a. For a fixed value of IQ and GPA, males earn more on average than females.
b. For a fixed value of IQ and GPA, females earn more on average than males.
c. For a fixed value of IQ and GPA, males earn more on average than females provided that the GPA is high enough.
d. 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/IQ interaction term is very small, there is very little evidence of an interaction effect. Justify your answer.

ansver
Answers: 1

Another question on Mathematics

question
Mathematics, 21.06.2019 16:20
Which math sentence can be used to determine if the triangle is a right triangle?
Answers: 1
question
Mathematics, 21.06.2019 16:30
Quadrilateral ghjk has vertices g(2, 3), h(8, 2), j(6, 8), and k(3, 6). it is transformed according to the rule t(–4, –5). what are the coordinates of g”? (–7, 3) (–2, 2) (–1, –7) (2, –2)
Answers: 2
question
Mathematics, 21.06.2019 23:30
Ana earns 2.5% simple interest on $2,000 in her savings account. she does not make any deposits or withdrawals. after 3 years, how much interest will ana have earned on her savings account?
Answers: 1
question
Mathematics, 22.06.2019 02:10
Triangle xyz, with vertices x(-2, 0), y(-2, -1), and z(-5, -2), undergoes a transformation to form triangle x′y′z′, with vertices x′(4, -2), y′(4, -3), and z′(1, -4). the type of transformation that triangle xyz undergoes is a . triangle x′y′z′ then undergoes a transformation to form triangle x′y′z′, with vertices x″(4, 2), y″(4, 3), and z″(1, 4). the type of transformation that triangle x′y′z′ undergoes is a .
Answers: 1
You know the right answer?
Suppose we have a data set with five predictors, X1 = GPA, X2 = IQ, X3 = Gender (1 for Female and 0...
Questions
question
Mathematics, 05.11.2020 20:30
question
Mathematics, 05.11.2020 20:30
question
Mathematics, 05.11.2020 20:30
question
Mathematics, 05.11.2020 20:30