In: Statistics and Probability
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 |
|
21934 |
2345 |
|
17334 |
2434 |
|
18262 |
1903 |
|
15646 |
1103 |
|
43973 |
5739 |
|
33660 |
2572 |
|
15119 |
2374 |
|
16702 |
1828 |
|
18230 |
2017 |
|
16038 |
1338 |
|
15140 |
1246 |
|
36030 |
3042 |
|
31034 |
2849 |
|
42077 |
3447 |
|
14364 |
1451 |
|
38925 |
3953 |
|
25378 |
3951 |
|
22956 |
2523 |
|
16216 |
3567 |
|
29294 |
2861 |
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.
a. As Property Taxes increase by 1 dollar, the size of the house increases by 6.78 ft.
b. As Size increases by 1 square foot, the property taxes are predicted to increase by $6.78.
c. Predict the property taxes for a 1,500-square-foot home. (Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.)
taxes _________