College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN: 9781305652231
Author: R. David Gustafson, Jeff Hughes
Publisher: Cengage Learning
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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
of dollars)
(thousands
of sq. ft.)
Land-to-
Building
Ratio
Property
1
10.5
2,167
2.1
2
2.5
750
3.6
3
30.6
2,421
3.7
4
1.9
225
4.8
19.9
3,918
1.6
6
8.1
2,865
2.4
7
10.2
1,699
3.2
8
6.6
1,047
4.9
9
5.9
1,107
7.5
10
4.4
404
17.3
n USE SALT
(a) Calculate the value of the correlation coefficient between sale price (in millions of dollars) and size (in thousands of square feet). (Round your answer to four decimal places.)
r =
(b) Calculate the value of the correlation coefficient between sale price (in millions of dollars) and land-to-building ratio. (Round your answer to four decimal places.)
(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?
O size
O land-to-building ratio
(d) Based on your choice in part (c), find the equation of the least-squares line you would use for predicting y = sale price (in millions of dollars). (Leave the data in the original units. Round your answers to four decimal places.)
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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 of dollars) (thousands of sq. ft.) Land-to- Building Ratio Property 1 10.5 2,167 2.1 2 2.5 750 3.6 3 30.6 2,421 3.7 4 1.9 225 4.8 19.9 3,918 1.6 6 8.1 2,865 2.4 7 10.2 1,699 3.2 8 6.6 1,047 4.9 9 5.9 1,107 7.5 10 4.4 404 17.3 n USE SALT (a) Calculate the value of the correlation coefficient between sale price (in millions of dollars) and size (in thousands of square feet). (Round your answer to four decimal places.) r = (b) Calculate the value of the correlation coefficient between sale price (in millions of dollars) and land-to-building ratio. (Round your answer to four decimal places.) (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? O size O land-to-building ratio (d) Based on your choice in part (c), find the equation of the least-squares line you would use for predicting y = sale price (in millions of dollars). (Leave the data in the original units. Round your answers to four decimal places.)
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