Does it appear that the restaurants giving the maximum value are placed in the beginning of the "Fine Dining" section? How did you arrive at your answer? O Yes, there is a significant linear correlation so it appears there is a relationship between the page and the amount of the discount. O No, there is not a significant linear correlation so it appears there is no relationship between the page and the amount of the discount. D Part (f) Suppose that there were 200 pages of restaurants. What do you estimate to be the maximum value for a restaurant listed on page 200? (Round your answer to the nearest cent.) Part (g) Is the least squares line valid for page 200? Why or why not? O Yes, the line produced a valid response for the maximum value. No, using the regression equation to predict the maximum value for page 200 is extrapolation.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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The maximum discount value of the Entertainment® card for the "Fine Dining" section for various pages is given in the table below.
Page number
Maximum value ($)
4
17
14
18
25
15
32
18
43
20
57
15
72
15
85
16
90
16
Let page number be the independent variable and maximum value be the dependent variable.
O Part (a)
Part (b)
Part (c)
Part (d)
O Part (e)
Does it appear that the restaurants giving the maximum value are placed in the beginning of the "Fine Dining" section? How did you arrive at your answer?
Yes, there is a significant linear correlation so it appears there is a relationship between the page and the amount of the discount.
No, there is not a significant linear correlation so it appears there is no relationship between the page and the amount of the discount.
Part (f)
Suppose that there were 200 pages of restaurants. What do you estimate to be the maximum value for a restaurant listed on page 200? (Round your answer to the nearest cent.)
Part (g)
Is the least squares line valid for page 200? Why or why not?
O Yes, the line produced a valid response for the maximum value.
O No, using the regression equation to predict the maximum value for page 200 is extrapolation.
Transcribed Image Text:The maximum discount value of the Entertainment® card for the "Fine Dining" section for various pages is given in the table below. Page number Maximum value ($) 4 17 14 18 25 15 32 18 43 20 57 15 72 15 85 16 90 16 Let page number be the independent variable and maximum value be the dependent variable. O Part (a) Part (b) Part (c) Part (d) O Part (e) Does it appear that the restaurants giving the maximum value are placed in the beginning of the "Fine Dining" section? How did you arrive at your answer? Yes, there is a significant linear correlation so it appears there is a relationship between the page and the amount of the discount. No, there is not a significant linear correlation so it appears there is no relationship between the page and the amount of the discount. Part (f) Suppose that there were 200 pages of restaurants. What do you estimate to be the maximum value for a restaurant listed on page 200? (Round your answer to the nearest cent.) Part (g) Is the least squares line valid for page 200? Why or why not? O Yes, the line produced a valid response for the maximum value. O No, using the regression equation to predict the maximum value for page 200 is extrapolation.
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