Consider a linear regression model where y represents the response variable, x is a quantitative explanatory...
Consider a linear regression model where y represents the response variable, x is a quantitative explanatory variable, and d is a dummy variable. The model is estimated as yˆy^ = 14.4 + 4.6x − 3.1d.
a. Interpret the dummy variable coefficient.
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Intercept shifts down by 3.1 units as d changes from 0 to 1.
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Slope shifts down by 3.1 units as d changes from 0 to 1.
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Intercept shifts up by 3.1 units as d changes from 0 to 1.
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Slope shifts up by 3.1 units as d changes from 0 to 1.
b. Compute yˆy^ for x = 3 and d = 1. (Round your answer to 1 decimal place.)
c. Compute yˆy^ for x = 3 and d = 0. (Round your answer to 1 decimal place.)
Homework Answers
Ans:
a)
Intercept shifts down by 3.1 units as d changes from 0 to 1.
b)
when x=3 and d=1
y' = 14.4 + 4.6*3 − 3.1*1=25.1
c)
when x=3 and d=0
y' = 14.4 + 4.6*3 − 3.1*0=28.2
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Consider a linear regression model where y represents
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