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1) The following data give the selling price, square footage, number of bedrooms, and age of houses that have sold in a neighborhood in the past 6 months. Develop three regression models (in excel) to predict the selling price based upon each of the other factors individually. Which of these is best?
SELLING PRICE ($)
SQUARE FOOTAGE
BEDROOMS
AGE (YEARS)
84,000
1,670
2
30
79,000
1,339
25
91,500
1,712
3
120,000
1,840
40
127,500
2,300
18
132,500
2,234
145,000
2,311
19
164,000
2,377
7
155,000
2,736
4
10
168,000
2,500
1
172,500
174,000
2,479
175,000
2,400
177,500
3,124
0
184,000
195,500
4,062
195,000
2,854
2) Use the data in Problem 1 and develop a regression model to predict selling price based on the square footage and number of bedrooms. Use this to predict the selling price of a 2,000-square-foot house with 3 bedrooms. Compare this model with the models in Problem 1. Should the number of bedrooms be included in the model? Why or why not?
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