A statistical program is recommended. You may need to use the appropriate technology to answer this question. Suppose the average monthly residential natural gas bill in a certain town is $67.95. How is the average monthly gas bill for a home in this town related to the square footage, number of rooms, and age of the home? The following tables shows the average monthly gas bill over the past year, square footage, number of and age for a sample of 20 homes. Average Monthly Gas Bill for Last Year $70.20 $81.33 $45.86 $59.21 $117.88 $55.78 $47.01 $52.89 $32.90 $67.04 Age 16 2 27 2 10 1,713 16 3,979 1,328 27 1,251 4 12 Square Footage 2,537 3,457 29 976 827 645 2,849 Rooms 6 8 6 7 12 7 6 5 4 5 Average Monthly Gas Bill for Last Year $76.76 $60.40 $44.07 $24.68 $62.70 $45.37 $38.09 $45.31 $52.45 $94.11 Age 1 26 14 1,386 17 20 1,299 13 10 22 Square Footage 2,412 23 900 27 542 2,140 908 1,568 1,140 Rooms 7 S 6 4 6 5 10 (a) Develop an estimated regression equation that can be used to predict a residence's average monthly gas bill for last year given its age. (Use x, for age. Round your numerical values to four decimal places.) 9-60.6463-0.1223x₁ (b) Develop an estimated regression equation that can be used to predict a residence's average monthly gas bill for last year given its age, square footage, and number of rooms. (Use x, for square footage and x, for number of rooms. Round your numerical values to four decimal places.) -0.0283 +0.1440x, +0.0066x+7.4976x
A statistical program is recommended. You may need to use the appropriate technology to answer this question. Suppose the average monthly residential natural gas bill in a certain town is $67.95. How is the average monthly gas bill for a home in this town related to the square footage, number of rooms, and age of the home? The following tables shows the average monthly gas bill over the past year, square footage, number of and age for a sample of 20 homes. Average Monthly Gas Bill for Last Year $70.20 $81.33 $45.86 $59.21 $117.88 $55.78 $47.01 $52.89 $32.90 $67.04 Age 16 2 27 2 10 1,713 16 3,979 1,328 27 1,251 4 12 Square Footage 2,537 3,457 29 976 827 645 2,849 Rooms 6 8 6 7 12 7 6 5 4 5 Average Monthly Gas Bill for Last Year $76.76 $60.40 $44.07 $24.68 $62.70 $45.37 $38.09 $45.31 $52.45 $94.11 Age 1 26 14 1,386 17 20 1,299 13 10 22 Square Footage 2,412 23 900 27 542 2,140 908 1,568 1,140 Rooms 7 S 6 4 6 5 10 (a) Develop an estimated regression equation that can be used to predict a residence's average monthly gas bill for last year given its age. (Use x, for age. Round your numerical values to four decimal places.) 9-60.6463-0.1223x₁ (b) Develop an estimated regression equation that can be used to predict a residence's average monthly gas bill for last year given its age, square footage, and number of rooms. (Use x, for square footage and x, for number of rooms. Round your numerical values to four decimal places.) -0.0283 +0.1440x, +0.0066x+7.4976x
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Find the value of the test statistic. (Round your answer to two decimal places.)
0.00
X
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0000
Transcribed Image Text:A statistical program is recommended. You may need to use the appropriate technology to answer this question.
Suppose the average monthly residential natural gas bill in a certain town is $67.95. How is the average monthly gas bill for a home in this town related to the square footage, number of rooms, and age of the home? The following tables shows the average monthly gas bill over the past year, square footage, number of rooms,
and age for a sample of 20 homes.
Average Monthly Gas
Bill for Last Year
ŷ =
$70.20
$81.33
$45.86
$59.21
$117.88
$55.78
$47.01
$52.89
$32.90
$67.04
Age
16
2
27
10
16
2
27
4
12
29
Square
Footage
2,537
3,457
976
1,713
3,979
1,328
1.251
827
645
2,849
Rooms
8
6
7
12
7
5
4
5
Average Monthly Gas
Bill for Last Year
$76.76
$60.40
$44.07
$24.68
$62.70
$45.37
$38.09
$45.31
$52.45
$94.11
Age
1
26
14
20
17
13
10
22
23
27
Square
Footage
2,412
900
1,386
1,299
1,441
542
2,140
908
1,568
1,140
Rooms
7
4
5
4
6
4
4
6
5
10
(a) Develop an estimated regression equation that can be used to predict a residence's average monthly gas bill for last year given its age. (Use x₁ for age. Round your numerical values to four decimal places.)
60.6463 0.1223x,
1
(b) Develop an estimated regression equation that can be used to predict a residence's average monthly gas bill for last year given its age, square footage, and number of rooms. (Use x₂ for square footage and x3 for number of rooms. Round your numerical values to four decimal places.)
ŷ = 0.0283 +0.1440x₁ +0.0066x₂ +7.4976x3
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