(a) Calculate the least squares estimates of the slope and intercept. B = i Bo = 1 (Round your answer to 3 decimal places.) (Round your answer to 2 decimal places.) (b) Find the mean selling price given that the taxes paid arex- 8.3. (Round your answer to 2 decimal places.) (c) Calculate the fitted value of y corresponding to x- 6.6969 (observation #15). Find the corresponding residual. ŷ = i (Round your answer to 2 decimal places.) y – ŷ = i (Round your answer to 2 decimal places.)

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An article in Technometrics by S. C. Narula and J. F. Wellington ("Prediction, Linear Regression, and a Minimum Sum of Relative Errors,"
Vol. 19, 1977) presents data on the selling price (y) and annual taxes (x) for 24 houses. The taxes include local, school and county taxes.
The data are shown in the following table.
Sale Price/1000 Taxes/1000
25.9
4.9176
29.5
5.0208
27.9
4.5429
25.9
4.5573
29.9
5.0597
29.9
3.8910
30.9
5.8980
28.9
5.6039
35.9
5.8282
31.5
5.3003
31.0
6.2712
30.9
5.9592
30.0
5.0500
36.9
8.2464
41.9
6.6969
40.5
7.7841
43.9
9.0384
37.5
5.9894
37.9
7.5422
44.5
8.7951
37.9
6.0831
38.9
8.3607
36.9
8.1400
45.8
9.1416
Transcribed Image Text:An article in Technometrics by S. C. Narula and J. F. Wellington ("Prediction, Linear Regression, and a Minimum Sum of Relative Errors," Vol. 19, 1977) presents data on the selling price (y) and annual taxes (x) for 24 houses. The taxes include local, school and county taxes. The data are shown in the following table. Sale Price/1000 Taxes/1000 25.9 4.9176 29.5 5.0208 27.9 4.5429 25.9 4.5573 29.9 5.0597 29.9 3.8910 30.9 5.8980 28.9 5.6039 35.9 5.8282 31.5 5.3003 31.0 6.2712 30.9 5.9592 30.0 5.0500 36.9 8.2464 41.9 6.6969 40.5 7.7841 43.9 9.0384 37.5 5.9894 37.9 7.5422 44.5 8.7951 37.9 6.0831 38.9 8.3607 36.9 8.1400 45.8 9.1416
(a) Calculate the least squares estimates of the slope and intercept.
i
(Round your answer to 3 decimal places.)
Bo = 1
(Round your answer to 2 decimal places.)
(b) Find the mean selling price given that the taxes paid arex- 8.3.
(Round your answer to 2 decimal places.)
(c) Calculate the fitted value of y corresponding to x- 6.6969 (observation #15). Find the corresponding residual.
ŷ = i
(Round your answer to 2 decimal places.)
y – ý =
(Round your answer to 2 decimal places.)
Transcribed Image Text:(a) Calculate the least squares estimates of the slope and intercept. i (Round your answer to 3 decimal places.) Bo = 1 (Round your answer to 2 decimal places.) (b) Find the mean selling price given that the taxes paid arex- 8.3. (Round your answer to 2 decimal places.) (c) Calculate the fitted value of y corresponding to x- 6.6969 (observation #15). Find the corresponding residual. ŷ = i (Round your answer to 2 decimal places.) y – ý = (Round your answer to 2 decimal places.)
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