Suppose that, in a particular city, a regression of prices of homes sold in the prior year

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Suppose that, in a particular city, a regression of prices of homes sold in the prior year (price) on the number of bedrooms (bedrooms) and square feet (sqft) yields the following regression model:

price = 100,000+ 45,000  bedrooms + 10  sqft

a. Interpret the coefficient estimate on sqft. 

b. If a home had 2 bedrooms and was 1500 square feet, what would the predicted price be? 

c. If that home had a selling price of $170,000, what would be the residual? 

d. How would you interpret the residual? 

e. What is a possible reason for the residual being what it is?  

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