The table shows the total square footage (in billions) of retailing space at shopping centers and their sales (in billions of dollars) for 10 years. The equation of the regression line is y=516.388x-1699.161. Complete parts a and b. 4.9 5.1 5.2 5.4 5.6 5.7 Total Square Footage, X Sales, y 883.3 937.6 986.3 1059.5 1107.2 1200.9 1281.1 1340.8 1438.2 1536. (a) Find the coefficient of determination and interpret the result. 5.9 5.8 5.9 6.2 (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? O A. The coefficient of determination is the fraction of the variation in sales that can be explained by the variation in total square footage. The remaining fraction of the variation is unexplained and is due to other factors or to sampling error. OB. The coefficient of determination is the fraction of the variation in sales that is unexplained and is due to other factors or sampling error. The remaining fraction of the variation is explained by the variation in total square footage. (b) Find the standard error of estimate se and interpret the result. (Round the final answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.) How can the standard error of estimate be interpreted? OA. The standard error of estimate of the total square footage for a specific number of sales is about se billion dollars. B. The standard error of estimate of the sales for a specific total square footage is about s billion dolls
The table shows the total square footage (in billions) of retailing space at shopping centers and their sales (in billions of dollars) for 10 years. The equation of the regression line is y=516.388x-1699.161. Complete parts a and b. 4.9 5.1 5.2 5.4 5.6 5.7 Total Square Footage, X Sales, y 883.3 937.6 986.3 1059.5 1107.2 1200.9 1281.1 1340.8 1438.2 1536. (a) Find the coefficient of determination and interpret the result. 5.9 5.8 5.9 6.2 (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? O A. The coefficient of determination is the fraction of the variation in sales that can be explained by the variation in total square footage. The remaining fraction of the variation is unexplained and is due to other factors or to sampling error. OB. The coefficient of determination is the fraction of the variation in sales that is unexplained and is due to other factors or sampling error. The remaining fraction of the variation is explained by the variation in total square footage. (b) Find the standard error of estimate se and interpret the result. (Round the final answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.) How can the standard error of estimate be interpreted? OA. The standard error of estimate of the total square footage for a specific number of sales is about se billion dollars. B. The standard error of estimate of the sales for a specific total square footage is about s billion dolls
Chapter4: Linear Functions
Section: Chapter Questions
Problem 9PT: Does Table 2 represent a linear function? If so, finda linear equation that models the data.
Related questions
Question
Transcribed Image Text:The table shows the total square footage (in billions) of retailing space at shopping
centers and their sales (in billions of dollars) for 10 years. The equation of the regression
line is y = 516.388x - 1699.161. Complete parts a and b.
Total
Square Footage,
X
Sales, y
4.9 5.1 5.2 5.4 5.6
5.7
**********
(a) Find the coefficient of determination and interpret the result.
5.9 5.8
(Round to three decimal places as needed.)
How can the coefficient of determination be interpreted?
5.9
883.3 937.6 986.3 1059.5 1107.2 1200.9 1281.1 1340.8 1438.2 1536.
6.2
OA. The coefficient of determination is the fraction of the variation in sales that can be
explained by the variation in total square footage. The remaining fraction of the
variation is unexplained and is due to other factors or to sampling error.
OB. The coefficient of determination is the fraction of the variation in sales that is
unexplained and is due to other factors or sampling error. The remaining fraction
of the variation is explained by the variation in total square footage.
(b) Find the standard error of estimate se and interpret the result.
(Round the final answer to three decimal places as needed. Round all intermediate values
to four decimal places as needed.)
How can the standard error of estimate be interpreted?
OA. The standard error of estimate of the total square footage for a specific number
of sales is about se billion dollars.
Se
OB. The standard error of estimate of the sales for a specific total square footage is
billion dollars.
about Se
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell