(d) Based on your choice in Part (c), find the equation of the least-squares regression line you would use for predicting y = sale price. (Give answers to three decimal places.) ý = 1.077 X + 0.005

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
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The following data on sale price, size, and land-to-building ratio for 10 large industrial properties appeared in a paper.
Sale Price Size
(millions
Property of dollars) of sq. ft.)
Land-to-
(thousands Building
Ratio
1
10.5
2167
2.0
2
2.5
750
3.5
3
30.5
2421
3.5
4
1.8
223
4.7
20.0
3916
1.8
6.
8.0
2865
2.4
7
10.2
1699
3.2
8
6.8
1047
4.9
9.
5.9
1108
7.6
10
4.6
405
17.2
(a) Calculate the value of the correlation coefficient between sale price and size. (Give the answer to three decimal places.)
r = 0.702
(b) Calculate the value of the correlation coefficient between sale price and land-to-building ratio. (Give the answer to three decimal places.)
r = -0.332
(c) If you wanted to predict sale price and you could use either size or land-to-building ratio as the basis for making predictions, which would you use?
Size
Land-to-building ratio
(d) Based on your choice in Part (c), find the equation of the least-squares regression line you would use for predicting y = sale price. (Give answers to three decimal places.)
1.077
X + 0.005
||
Transcribed Image Text:The following data on sale price, size, and land-to-building ratio for 10 large industrial properties appeared in a paper. Sale Price Size (millions Property of dollars) of sq. ft.) Land-to- (thousands Building Ratio 1 10.5 2167 2.0 2 2.5 750 3.5 3 30.5 2421 3.5 4 1.8 223 4.7 20.0 3916 1.8 6. 8.0 2865 2.4 7 10.2 1699 3.2 8 6.8 1047 4.9 9. 5.9 1108 7.6 10 4.6 405 17.2 (a) Calculate the value of the correlation coefficient between sale price and size. (Give the answer to three decimal places.) r = 0.702 (b) Calculate the value of the correlation coefficient between sale price and land-to-building ratio. (Give the answer to three decimal places.) r = -0.332 (c) If you wanted to predict sale price and you could use either size or land-to-building ratio as the basis for making predictions, which would you use? Size Land-to-building ratio (d) Based on your choice in Part (c), find the equation of the least-squares regression line you would use for predicting y = sale price. (Give answers to three decimal places.) 1.077 X + 0.005 ||
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ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,