Question

In: Math

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.

21918 2359
17318 2340
18284 1936
15624 1094
43998 5664
33670 2577
15158 2139
16691 1856
18278 2052
16070 1357
15181 1222
36077 3110
31037 2782
42061 3446
14365 1524
38971 3976
25313 4014
22984 2332
16210 3586
29229 2807

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.)

Taxesˆ = _____ + _____Size.

b. Interpret the slope coefficient.

As Size increases by 1 square foot, the property taxes are predicted to increase by $6.85.

As Property Taxes increase by 1 dollar, the size of the house increases by 6.85 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.) Taxesˆ

Solutions

Expert Solution

a) Consider the variables

Y : Property taxes

X : Size of home.

The simple linear equation Y on X is

y =a + b * x

a = y-intercept

b = slope of line

Y X X2 XY
21918 2359 5564881 51704562
17318 2340 5475600 40524120
18284 1936 3748096 35397824
15624 1094 1196836 17092656
43998 5664 32080896 249204672
33670 2577 6640929 86767590
15158 2139 4575321 32422962
16691 1856 3444736 30978496
18278 2052 4210704 37506456
16070 1357 1841449 21806990
15181 1222 1493284 18551182
36077 3110 9672100 112199470
31037 2782 7739524 86344934
42061 3446 11874916 144942206
14365 1524 2322576 21892260
38971 3976 15808576 154948696
25313 4014 16112196 101606382
22984 2332 5438224 53598688
16210 3586 12859396 58129060
29229 2807 7879249 82045803
488437 52173 159979489 1437665009

Hence simple linear equation of Y on X is

Taxes ^ = 6559.498 + 6.85 * size

b) Value of slope = 6.85 ( positive)

Interpretation : As size of home increases by 1 square foot, the property taxes are predicted to increase by $ 6.85.

c) Given : x =1200

Estimated value of property taxes

Taxes^ = 6559.498 + 1200 *6.85

= $ 14779.4976.


Related Solutions

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 21972 2330 17347 2427 18263 1873 15636 1098 43971 5639 33623 2429 15188 2332 16750 1898 18236 2108 16089 1245 15126 1227 36053 3027 31050 2814 42032 3329 14362 1635 38961 4074 25312 4016 22960 2470 16162...
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 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...
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 21913 2357 17307 2531 18258 1906 15606 1061 43962 5639 33679 2520 15197 2165 16733 1825 18211 2139 16061 1268 15194 1261 36018 3060 31036 2869 42098 3448 14377 1574 38934 3919 25341 3949 22969 2514 16241...
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 21928 2438 17356 2455 18214 1871 15652 1063 43957 5715 33631 2567 15131 2260 16698 1824 18277 2010 16038 1438 15198 1337 36089 3049 31008 2843 42044 3411 14414 1454 38940 4057 25329 3939 22907 2505 16152...
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 21922 2446 17362 2521 18285 1732 15662 1039 43973 5633 33629 2523 15195 2163 16693 1938 18247 2061 16036 1267 15163 1306 36002 3034 31043 2880 42063 3376 14432 1491 38914 3943 25383 3930 22991 2390 16236...
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 21922 2446 17362 2521 18285 1732 15662 1039 43973 5633 33629 2523 15195 2163 16693 1938 18247 2061 16036 1267 15163 1306 36002 3034 31043 2880 42063 3376 14432 1491 38914 3943 25383 3930 22991 2390 16236...
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. 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 c. Predict the property...
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 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...
16. The accompanying table shows a portion of a data set that refers to the property...
16. 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 21,972 2,330 17,347 2,427 ⋮ ⋮ 29,264 2,879 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...
7. The accompanying table shows a portion of a data set that refers to the property...
7. 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 21,998 2,317 17,350 2,347 ⋮ ⋮ 29,245 2,892 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...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT