Rhonda Clark, a Slippery Rock, Pennsylvania, realestate developer, has devised a regression model to help determineresidential housing prices in northwestern Pennsylvania. The model was developed using recent sales in a particular neighbor-hood. The price ( Y ) of the house is based on the size (square foot-age 5 X ) of the house. The model is: Y = 13,473 + 37.65XThe coefficient of correlation for the model is 0.63.a) Use the model to predict the selling price of a house that is1,860 square feet.b) An 1,860-square-foot house recently sold for $95,000. Explainwhy this is not what the model predicted. c) If you were going to use multiple regression to develop such amodel, what other quantitative variables might you include?d) What is the value of the coefficient of determination in thisproblem?

Practical Management Science
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Author:WINSTON, Wayne L.
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Rhonda Clark, a Slippery Rock, Pennsylvania, real
estate developer, has devised a regression model to help determine
residential housing prices in northwestern Pennsylvania. The

model was developed using recent sales in a particular neighbor-
hood. The price ( Y ) of the house is based on the size (square foot-
age 5 X ) of the house. The model is:

Y = 13,473 + 37.65X
The coefficient of correlation for the model is 0.63.
a) Use the model to predict the selling price of a house that is
1,860 square feet.
b) An 1,860-square-foot house recently sold for $95,000. Explain
why this is not what the model predicted.

c) If you were going to use multiple regression to develop such a
model, what other quantitative variables might you include?
d) What is the value of the coefficient of determination in this
problem?

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