Complete the following worksheet and then use it to calculate the coefficient of determination. xi yi ŷ (1-5)² (vi-5)² (x-5)² 1 12 265.2 253.2 2,277.2 144.0 1,275.9 23 2 20.2 279.6 286.2 216.7 43.6 454.5 27 311.2 313.5 158.3 5.3 105.7 4 30 328.0 325.6 609.1 5.8 733.3 5 30 355.0 325.6 609.1 864.4 2,924.6 6 21.4 281.2 291.0 98.4 96.0 388.9 7 21.6 288.4 291.8 83.2 11.6 156.8 8 25.2 292.8 306.3 28.9 182.3 65.9 9 15 37.2 358.0 354.5 10 14.4 263.2 262.9 11 15 272.4 265.3 12 22.4 291.2 295.0 13 23.9 299.6 301.0 14 26.6 307.6 311.9 15 30.7 320.4 328.4 Total 2,870.8 12.3 3,258.1 1,445.5 0.1 1,422.8 1,268.8 50.4 813.4 35.0 14.4 94.5 0.0 2.0 1.7 120.6 18.5 44.6 755.2 64.0 379.5 The coefficient of determination (r) is The F-ratio is , which means that the assessor reject, at the 5% level of significance, the null hypothesis that there is no relationship between the selling price and the area of the house. (Hint: The critical value of Fo.05,1,1is 4.67.) Which of the following is an approximate 95% prediction interval for the selling price of a house having an area (size) of 15 (hundred) square feet? 171.8 to 218.4 173.5 to 216.7 243.7 to 286.9

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
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Complete the following worksheet and then use it to calculate the coefficient of determination.
xi
yi
ŷ
(1-5)²
(vi-5)²
(x-5)²
1
12
265.2 253.2
2,277.2
144.0
1,275.9
23
2
20.2 279.6 286.2
216.7
43.6
454.5
27 311.2 313.5
158.3
5.3
105.7
4
30 328.0 325.6
609.1
5.8
733.3
5
30 355.0 325.6
609.1
864.4
2,924.6
6
21.4 281.2 291.0
98.4
96.0
388.9
7 21.6 288.4 291.8
83.2
11.6
156.8
8 25.2 292.8 306.3
28.9
182.3
65.9
9
15
37.2 358.0 354.5
10 14.4 263.2 262.9
11 15 272.4 265.3
12 22.4 291.2 295.0
13 23.9 299.6 301.0
14 26.6 307.6 311.9
15 30.7 320.4 328.4
Total
2,870.8
12.3
3,258.1
1,445.5
0.1
1,422.8
1,268.8
50.4
813.4
35.0
14.4
94.5
0.0
2.0
1.7
120.6
18.5
44.6
755.2
64.0
379.5
The coefficient of determination (r) is
The F-ratio is
, which means that the assessor
reject, at the 5% level of
significance, the null hypothesis that there is no relationship between the selling price and the area
of the house. (Hint: The critical value of Fo.05,1,1is 4.67.)
Which of the following is an approximate 95% prediction interval for the selling price of a house
having an area (size) of 15 (hundred) square feet?
171.8 to 218.4
173.5 to 216.7
243.7 to 286.9
Transcribed Image Text:Complete the following worksheet and then use it to calculate the coefficient of determination. xi yi ŷ (1-5)² (vi-5)² (x-5)² 1 12 265.2 253.2 2,277.2 144.0 1,275.9 23 2 20.2 279.6 286.2 216.7 43.6 454.5 27 311.2 313.5 158.3 5.3 105.7 4 30 328.0 325.6 609.1 5.8 733.3 5 30 355.0 325.6 609.1 864.4 2,924.6 6 21.4 281.2 291.0 98.4 96.0 388.9 7 21.6 288.4 291.8 83.2 11.6 156.8 8 25.2 292.8 306.3 28.9 182.3 65.9 9 15 37.2 358.0 354.5 10 14.4 263.2 262.9 11 15 272.4 265.3 12 22.4 291.2 295.0 13 23.9 299.6 301.0 14 26.6 307.6 311.9 15 30.7 320.4 328.4 Total 2,870.8 12.3 3,258.1 1,445.5 0.1 1,422.8 1,268.8 50.4 813.4 35.0 14.4 94.5 0.0 2.0 1.7 120.6 18.5 44.6 755.2 64.0 379.5 The coefficient of determination (r) is The F-ratio is , which means that the assessor reject, at the 5% level of significance, the null hypothesis that there is no relationship between the selling price and the area of the house. (Hint: The critical value of Fo.05,1,1is 4.67.) Which of the following is an approximate 95% prediction interval for the selling price of a house having an area (size) of 15 (hundred) square feet? 171.8 to 218.4 173.5 to 216.7 243.7 to 286.9
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