Errors" (Vol. 19, 1977)] presents data on the selling price and annual taxes for 24 houses. The data are shown in the following table. X is taxes paid. Tases (Local, School). Price/1000 County)1000 Sale 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 (a) Assuming that a simple linear regression model is appropriate, obtain the regression equation applicable and compute for the coefficient of determination. (b) Test the significance of the correlation coefficient. (c) Find the mean selling price given that the taxes paid is 6.111. (d) Construct a 95% Confidence Interval for the mean selling price computed in (c). Use the editor to formot your answer

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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 and annual taxes for 24 houses. The data are shown in the following table.
Xis taxes paid.
Taxes
(Local, School),
Price/1000 County)/1000
Sale
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
(a) Assuming that a simple linear regression model is appropriate, obtain the regression equation applicable and compute for the
coefficient of determination.
(b) Test the significance of the correlation coefficient.
(c) Find the mean selling price given that the taxes paid is 6.111.
(d) Construct a 95% Confidence Interval for the mean selling price computed in (C).
Use the editor to formot your answer
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 and annual taxes for 24 houses. The data are shown in the following table. Xis taxes paid. Taxes (Local, School), Price/1000 County)/1000 Sale 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 (a) Assuming that a simple linear regression model is appropriate, obtain the regression equation applicable and compute for the coefficient of determination. (b) Test the significance of the correlation coefficient. (c) Find the mean selling price given that the taxes paid is 6.111. (d) Construct a 95% Confidence Interval for the mean selling price computed in (C). Use the editor to formot your answer
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