The coefficient of determination (²) is 0.887 The F-ratio is which me the assessor relationship between the selling price a 0.922 rea of the house. (Hint: The critical value of Fo.05,1,13 is 4.67.) I Which of the following is an approximat O 175.3 to 216.1 1.008 reject, at the 5% level of significance, the null hypothesis that th rediction interval for the selling price of a house having an area (size) of 15 (hundred) squa

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Question
i
Xi
Yi
ŷ
1
12
265.2
253.4
2
20.2
279.6
286.2
3
27
311.2 313.4
4
30
328.0 325.4
5
30
352.0
325.4
6
21.4
281.2
291.0
7
21.6 288.4 291.8
8
25.2 292.8 306.2
9 37.2 358.0 354.2
10
14.4
263.2 263.0
11
15
272.4 265.4
12 22.4 291.2 295.0
299.6 301.0
13
23.9
14 26.6
307.6 311.8
15
30.7 320.4 328.2
Total
The coefficient of determination (№²) is
175.3 to 216.1
179.6 to 211.8
(ŷ; - y)²
2,239.2
210.8
160.8
609.1
609.1
94.5
79.6
30.0
2,860.1
1,422.8
1,247.5
32.7
0.1
122.8
755.2
245.0 to 285.8
10,474.3
I
Which of the following is an approximat
0.887
(yi - y)²
139.2
43.6
4.8
6.8
707.6
96.0
11.6
179.6
14.4
0.0
49.0
the assessor
The F-ratio is
which me
relationship between the selling price a 0.922 ea of the house. (Hint: The critical value of F0.05,1,13 is 4.67.)
1.008
14.4
2.0
17.6
60.8
1,347.4
(yi - y)²
1,261.7
446.1
109.8
744.2
2,629.6
381.0
151.8
62.7
3,281.0
1,407.8
802.0
90.6
1.3
47.3
387.3
11,804.2
reject, at the 5% level of significance, the null hypothesis that there is no
rediction interval for the selling price of a house having an area (size) of 15 (hundred) square feet?
Transcribed Image Text:i Xi Yi ŷ 1 12 265.2 253.4 2 20.2 279.6 286.2 3 27 311.2 313.4 4 30 328.0 325.4 5 30 352.0 325.4 6 21.4 281.2 291.0 7 21.6 288.4 291.8 8 25.2 292.8 306.2 9 37.2 358.0 354.2 10 14.4 263.2 263.0 11 15 272.4 265.4 12 22.4 291.2 295.0 299.6 301.0 13 23.9 14 26.6 307.6 311.8 15 30.7 320.4 328.2 Total The coefficient of determination (№²) is 175.3 to 216.1 179.6 to 211.8 (ŷ; - y)² 2,239.2 210.8 160.8 609.1 609.1 94.5 79.6 30.0 2,860.1 1,422.8 1,247.5 32.7 0.1 122.8 755.2 245.0 to 285.8 10,474.3 I Which of the following is an approximat 0.887 (yi - y)² 139.2 43.6 4.8 6.8 707.6 96.0 11.6 179.6 14.4 0.0 49.0 the assessor The F-ratio is which me relationship between the selling price a 0.922 ea of the house. (Hint: The critical value of F0.05,1,13 is 4.67.) 1.008 14.4 2.0 17.6 60.8 1,347.4 (yi - y)² 1,261.7 446.1 109.8 744.2 2,629.6 381.0 151.8 62.7 3,281.0 1,407.8 802.0 90.6 1.3 47.3 387.3 11,804.2 reject, at the 5% level of significance, the null hypothesis that there is no rediction interval for the selling price of a house having an area (size) of 15 (hundred) square feet?
Expert Solution
Step 1

The table of data represents the value of independent variable xi and the dependent variable yi

The predicted value is given by y^i

Sum of squares due to regression, SSR=i=1ny^i-y¯2

Sum of squares due to error, SSE=i=1nyi-y^i2

Total sum of squares, SST=i=1nyi-y¯2

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