4-16 Steve Caples, a real estate appraiser in Lake Charles, Louisiana, has developed a regression model to help appraise residential housing in the Lake Charles area. The model was developed using recently sold homes in a particular neighborhood. The price (Y) of the house is based on the square footage (X) of the house. The model is Ŷ= 33,478 +62.4X 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) A house with 1,860 square feet recently sold for $165,000. Explain why this is not what the model predicted. (c) If you were going to use multiple regression to develop an appraisal model, what other quantita- tive variables might be included in the model? (d) What is the coefficient of determination for this model?

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4-16 Steve Caples, a real estate appraiser in Lake Charles,
Louisiana, has developed a regression model to help
appraise residential housing in the Lake Charles
area. The model was developed using recently sold
homes in a particular neighborhood. The price (Y) of
the house is based on the square footage (X) of the
house. The model is
Ŷ = 33,478 + 62.4X
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) A house with 1,860 square feet recently sold
for $165,000. Explain why this is not what the
model predicted.
(c) If you were going to use multiple regression to
develop an appraisal model, what other quantita-
tive variables might be included in the model?
(d) What is the coefficient of determination for this
model?
Transcribed Image Text:4-16 Steve Caples, a real estate appraiser in Lake Charles, Louisiana, has developed a regression model to help appraise residential housing in the Lake Charles area. The model was developed using recently sold homes in a particular neighborhood. The price (Y) of the house is based on the square footage (X) of the house. The model is Ŷ = 33,478 + 62.4X 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) A house with 1,860 square feet recently sold for $165,000. Explain why this is not what the model predicted. (c) If you were going to use multiple regression to develop an appraisal model, what other quantita- tive variables might be included in the model? (d) What is the coefficient of determination for this model?
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