Use technology to find (a) the multiple regression equation for the data shown in the accompanying table, (b) the standard error estimate and interpret the result, and (c) the coefficient of determination and interpret the result. The accompanying table shows the total square footages (in billions) of retailing space at shopping centers, the numbers (in thousands) of shopping centers, and the sales (in billions of dollars) for shopping centers for eight years. Click the icon to view the data table on shopping center sales. Shopping center sales (a) What is the regression equation? this cycl 123.8 211.8385.4 475.6 641.9 716.4 |768.4|806.1851.8 893.8 933.6 D 4.7 (Round to two decimal places as needed.) Sales, y Total square footage, x1 12/24/1 5.1 5.0 4.9 4.8 4.6 4.0 3.5 3.2 2.8 1.9 (b) The standard error is. 38.0 38.9 39.7 40.6 41.3 42.1 17.9 22.4 25.4 32.7 Shopping centers, X2 13.4 (Round to two decimal places as needed.) Interpret the standard error. Choose the cd tion Done Print O A. The standard error is the percent o tions Or e preucicu Saics yiven a spetimt totai Square 1ootaye anu iumuer oI Shopping centers. The standard error is the expectedemo O B. O C. The standard error is the sum of unexplained error in the multiple regression model. g Quest D. The standard error is the average predicted sales for the multiple regression model. ered Que (c) The coefficient of determination is (Round to three decimal places as needed.) ted Quest Interpret the coefficient of determination. Choose the correct answer below. ?. Click to select your answer(s). étv DEC MacBook DII F11 F10 F9 F8 F7 (Round to two decimal places as heeded.) Interpret the standard error. Choose the correct answer below. O A. The standard error is the percent of variation explained by the multiple regression model. O B. The standard error is the expected error of the predicted sales given a specific total square footage and number of shopping centers. C. The standard error is the sum of unexplained error in the multiple regression model. O D. The standard error is the average predicted sales for the multiple regression model. (c) The coefficient of determination is (Round to three decimal places as needed.) Interpret the coefficient of determination. Choose the correct answer below. uest A. The coefficient of determination measures the percent of variation explained by the multiple regression model. Que B. The coefficient of determination measures the percent of variation not explained by the multiple regression model. Quest O C. The coefficient of determination measures the expected error of the predicted sales given a specific total square footage and number of shopping centers. O D. The coefficient of determination measures the average predicted sales for the multiple regression model. Click to select your answer(s). PAGES DEC tv MacBook Pro DII F11 F9 F10 F6 F8 F7 F 4 F5 F3 F2 %23 3 & 24 4. 15

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Related questions
Question
Use technology to find (a) the multiple regression equation for the data shown in the accompanying table, (b) the standard error estimate and interpret the result, and
(c) the coefficient of determination and interpret the result.
The accompanying table shows the total square footages (in billions) of retailing space at shopping centers, the numbers (in thousands) of shopping centers, and the
sales (in billions of dollars) for shopping centers for eight years.
Click the icon to view the data table on shopping center sales.
Shopping center sales
(a) What is the regression equation?
this cycl
123.8 211.8385.4 475.6 641.9 716.4 |768.4|806.1851.8 893.8 933.6 D
4.7
(Round to two decimal places as needed.)
Sales, y
Total square footage, x1
12/24/1
5.1
5.0
4.9
4.8
4.6
4.0
3.5
3.2
2.8
1.9
(b) The standard error is.
38.0 38.9 39.7 40.6 41.3 42.1
17.9 22.4 25.4 32.7
Shopping centers, X2
13.4
(Round to two decimal places as needed.)
Interpret the standard error. Choose the cd
tion
Done
Print
O A. The standard error is the percent o
tions
Or e preucicu Saics yiven a spetimt totai Square 1ootaye anu iumuer oI Shopping centers.
The standard error is the expectedemo
O B.
O C. The standard error is the sum of unexplained error in the multiple regression model.
g Quest
D. The standard error is the average predicted sales for the multiple regression model.
ered Que
(c) The coefficient of determination is
(Round to three decimal places as needed.)
ted Quest
Interpret the coefficient of determination. Choose the correct answer below.
?.
Click to select your answer(s).
étv
DEC
MacBook
DII
F11
F10
F9
F8
F7
Transcribed Image Text:Use technology to find (a) the multiple regression equation for the data shown in the accompanying table, (b) the standard error estimate and interpret the result, and (c) the coefficient of determination and interpret the result. The accompanying table shows the total square footages (in billions) of retailing space at shopping centers, the numbers (in thousands) of shopping centers, and the sales (in billions of dollars) for shopping centers for eight years. Click the icon to view the data table on shopping center sales. Shopping center sales (a) What is the regression equation? this cycl 123.8 211.8385.4 475.6 641.9 716.4 |768.4|806.1851.8 893.8 933.6 D 4.7 (Round to two decimal places as needed.) Sales, y Total square footage, x1 12/24/1 5.1 5.0 4.9 4.8 4.6 4.0 3.5 3.2 2.8 1.9 (b) The standard error is. 38.0 38.9 39.7 40.6 41.3 42.1 17.9 22.4 25.4 32.7 Shopping centers, X2 13.4 (Round to two decimal places as needed.) Interpret the standard error. Choose the cd tion Done Print O A. The standard error is the percent o tions Or e preucicu Saics yiven a spetimt totai Square 1ootaye anu iumuer oI Shopping centers. The standard error is the expectedemo O B. O C. The standard error is the sum of unexplained error in the multiple regression model. g Quest D. The standard error is the average predicted sales for the multiple regression model. ered Que (c) The coefficient of determination is (Round to three decimal places as needed.) ted Quest Interpret the coefficient of determination. Choose the correct answer below. ?. Click to select your answer(s). étv DEC MacBook DII F11 F10 F9 F8 F7
(Round to two decimal places as heeded.)
Interpret the standard error. Choose the correct answer below.
O A. The standard error is the percent of variation explained by the multiple regression model.
O B. The standard error is the expected error of the predicted sales given a specific total square footage and number of shopping centers.
C. The standard error is the sum of unexplained error in the multiple regression model.
O D. The standard error is the average predicted sales for the multiple regression model.
(c) The coefficient of determination is
(Round to three decimal places as needed.)
Interpret the coefficient of determination. Choose the correct answer below.
uest
A. The coefficient of determination measures the percent of variation explained by the multiple regression model.
Que
B. The coefficient of determination measures the percent of variation not explained by the multiple regression model.
Quest
O C. The coefficient of determination measures the expected error of the predicted sales given a specific total square footage and number of shopping centers.
O D. The coefficient of determination measures the average predicted sales for the multiple regression model.
Click to select your answer(s).
PAGES
DEC
tv
MacBook Pro
DII
F11
F9
F10
F6
F8
F7
F 4
F5
F3
F2
%23
3
&
24
4.
15
Transcribed Image Text:(Round to two decimal places as heeded.) Interpret the standard error. Choose the correct answer below. O A. The standard error is the percent of variation explained by the multiple regression model. O B. The standard error is the expected error of the predicted sales given a specific total square footage and number of shopping centers. C. The standard error is the sum of unexplained error in the multiple regression model. O D. The standard error is the average predicted sales for the multiple regression model. (c) The coefficient of determination is (Round to three decimal places as needed.) Interpret the coefficient of determination. Choose the correct answer below. uest A. The coefficient of determination measures the percent of variation explained by the multiple regression model. Que B. The coefficient of determination measures the percent of variation not explained by the multiple regression model. Quest O C. The coefficient of determination measures the expected error of the predicted sales given a specific total square footage and number of shopping centers. O D. The coefficient of determination measures the average predicted sales for the multiple regression model. Click to select your answer(s). PAGES DEC tv MacBook Pro DII F11 F9 F10 F6 F8 F7 F 4 F5 F3 F2 %23 3 & 24 4. 15
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