Question

The accompanying table shows a portion of a data set that refers to the property taxes...

The accompanying table shows a portion of a data set that refers to the property taxes owed by a homeowner (in $) and the size of the home (in square feet) in an affluent suburb 30 miles outside New York City.

Taxes Size
21980 2357
17392 2471
18216 1895
15691 1117
43957 5728
33624 2536
15136 2188
16699 1926
18218 2135
16036 1409
15145 1450
36050 3099
31048 2742
42030 3353
14435 1649
38946 4001
25309 3916
22934 2438
16152 3585
29200 2804


a. Estimate the sample regression equation that enables us to predict property taxes on the basis of the size of the home. (Round your answers to 2 decimal places.)

TaxesˆTaxes^ =  +  Size.


b. Interpret the slope coefficient.

  • As Size increases by 1 square foot, the property taxes are predicted to increase by $6.91.

  • As Property Taxes increase by 1 dollar, the size of the house increases by 6.91 ft.


c. Predict the property taxes for a 1,600-square-foot home. (Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.)

  TaxesˆTaxes^               

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