January 8th, 2022 
I have provided some information below. First write the equation and then, using the data provided, solve for the predicted value of the dependent variable.
Problem 1: Vote and Approval
Dependent Variable: VOTE
VOTE is incumbent share of the presidential vote
Independent Variable: APPROVAL
APPROVAL is the approval rating of the incumbent president
Regression Analysis
Coefficients
Intercept -30
Approval .7
What is the linear relationship between VOTE and APPROVAL? Write the equation in the form Y = a + b X
If the current value of APPROVAL is 50 what is the predicted value of VOTE?
Problem 2 Seats, Approval and Midterm
Dependent Variable: SEATS
SEATS is change in seats in the House of Representatives
Independent Variables: APPROVAL and MIDTERM
APPROVAL is approval rating of the incumbent president
MIDTERM is a dummy variable
Midterm = 1 if the election is a midterm election, 0 if not.
Regression Analysis
Coefficients
Intercept -60
Approval 1
Midterm -25
What is the linear relationship between SEATS, APPROVAL and MIDTERM?
Write the equation in the form Y = a + b1 X1 + b2 X2
If the current value of APPROVAL is 55 and MIDTERM is 1 What is the predicted value of SEATS?
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