Question: 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

 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 what = 14.8 + 4.4x ? 3.8d.

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

yhat = 14.8 + 4.4x ? 3.8d.

 

a.

Interpret the dummy variable coefficient.

Intercept shifts down by 3.8 units as d changes from 0 to 1.

Slope shifts down by 3.8 units as d changes from 0 to 1.

Intercept shifts up by 3.8 units as d changes from 0 to 1.

Slope shifts up by 3.8 units as d changes from 0 to 1.

 

b.

Compute Y-hat for x = 3 and d = 1. (Round your final answer to 1 decimal place.)

 

y-hat =

 

c.

ComputeY-hat for x = 3 and d = 0. (Round your final answer to 1 decimal place.)

 

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