The accompanying data file shows the square footage and associated property taxes for 20 homes in an affluent suburb 30 miles outside of New York City. Property_Taxes Size 21946 2463 17371 2531 18237 1888 15682 1107 43989 5668 33624 2563 15236 2184 16621 1990 18265 2090 16073 1276 15228 1377 36004 3018 31049 2860 42042 3358 14390 1599 38967 3994 25328 4068 22872 2462 16165 3555 29288 2803 a. Estimate a home’s property taxes as a linear function of the size of the home (measured by its square footage). (Round your answers to 2 decimal places.) Property taxes=.      +.      size b. What proportion of the sample variation in property taxes is explained by the home’s size? (Round your answer into 2 decimal places.) The proportion of sample variation = c. What proportion of the sample variation in property taxes is unexplained by the home’s size?    Proportion of sample  variation =

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 9PT: Does Table 2 represent a linear function? If so, finda linear equation that models the data.
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The accompanying data file shows the square footage and associated property taxes for 20 homes in an affluent suburb 30 miles outside of New York City.

Property_Taxes Size
21946 2463
17371 2531
18237 1888
15682 1107
43989 5668
33624 2563
15236 2184
16621 1990
18265 2090
16073 1276
15228 1377
36004 3018
31049 2860
42042 3358
14390 1599
38967 3994
25328 4068
22872 2462
16165 3555
29288 2803



a. Estimate a home’s property taxes as a linear function of the size of the home (measured by its square footage). (Round your answers to 2 decimal places.)

Property taxes=.      +.      size


b. What proportion of the sample variation in property taxes is explained by the home’s size? (Round your answer into 2 decimal places.)

The proportion of sample variation =


c. What proportion of the sample variation in property taxes is unexplained by the home’s size? 

 

Proportion of sample  variation =

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