The following data on sale price, size, and land-to-building ratio for 10 large industrial properties appeared in a paper. Property Sale Price (millions of dollars) Size (thousands of sq. ft.) Land-to- Building Ratio 1 10.5 2167 2.1 2   2.6   750 3.4 3 30.6 2421 3.7 4   1.9   223 4.7 5 20.1 3916 1.7 6   8.1 2865 2.3 7 10.2 1699 3.2 8   6.6 1047 4.9 9   5.7 1107 7.5 10     4.4   405 17.3   (a) Calculate the value of the correlation coefficient between sale price and size. (Give the answer to three decimal places.) r =  (b) Calculate the value of the correlation coefficient between sale price and land-to-building ratio. (Give the answer to three decimal places.) r =    (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? 1 - Size 2 - Land-to-building ratio (choose either 1 or 2 as the answer). (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.)  y =  (________________) +  (___________________)x

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
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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.

Property Sale Price
(millions
of dollars)
Size
(thousands
of sq. ft.)
Land-to-
Building
Ratio
1 10.5 2167 2.1
2   2.6   750 3.4
3 30.6 2421 3.7
4   1.9   223 4.7
5 20.1 3916 1.7
6   8.1 2865 2.3
7 10.2 1699 3.2
8   6.6 1047 4.9
9   5.7 1107 7.5
10     4.4   405 17.3  
(a) Calculate the value of the correlation coefficient between sale price and size. (Give the answer to three decimal places.)
r = 

(b) Calculate the value of the correlation coefficient between sale price and land-to-building ratio. (Give the answer to three decimal places.)
r = 
 
(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?
1 - Size
2 - Land-to-building ratio
(choose either 1 or 2 as the answer).


(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.)
 y =  (________________) +  (___________________)x
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ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,