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
21,987 2,352
17,343 2,362
29,272 2,878
Taxes Size
21987 2352
17343 2362
18279 1776
15645 1118
43954 5712
33653 2592
15105 2134
16749 1905
18239 2024
16048 1389
15135 1381
36016 3028
31083 2771
42000 3374
14370 1556
38953 3971
25373 3934
22971 2321
16169 3557
29272 2878

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.)

taxes= ____ + ____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 1,200-square-foot home. (Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.)

Taxes=

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