11. The percentage of variation in the dependent variable explained by the variation in the independent variable is 0.75% b. a. 75% с. 0.563% d. 56.3%

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

Q11

Assume you have noted the following prices for books and the number of pages that each book contains.
Pages (x)
Price (y)
$7.00
Вook
A
500
700
7.50
C
750
9.00
D
590
6.50
E
540
7,50
F
650
7.00
G
480
4.50
You decide to run a regression model to examine the relationship between the number of pages and prices for books and
attach the results below.
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted RS
Standard Ere
Observations
0.750
0.563
0.475
0.981
7.000
ANOVA
Significance F
df
MS
Regression
Residual
1.000
6.192
6.192
6.439
0.052
5.000
6.000
4.808
0.962
Total
11.000
Coefficients Standard Ero.
1.042
Lower 95% Upper 95% Lower 95.0% Upper 95.0%
7.152
0.020
I Stat
P-value
Intercept
Pages (x)
8. In the estimated regression equation above,
1.042 is the intercept
1.042 is the slope
2.377 is the intercept
d. 0.004 is the slope
2.377
0.438
0.680
-5.069
7.152
-5.069
0.010
0.004
2.538
0.052
0.000
0.020
0.000
a.
b.
с.
9. The above equation implies that an
increase of 1 in the number of pages is associated with an increase of $1.052 in prices
increase of 1 in the number of pages is associated with an increase of $0.01 in prices
increase of 1 in the number of pages is associated with an increase of $1.042 in prices
increase of 1 in the number of pages is associated with an increase of $0.75 in prices
a.
b.
с.
d.
10. Based on the above estimated regression line if the number of pages is 1000, then the point estimate for price is
$10
b. $11.042
$750
d. $1052
a.
с.
11. The percentage of variation in the dependent variable explained by the variation in the independent variable is
a.
0.75%
b.
75%
с.
0.563%
d.
56.3%
2
Transcribed Image Text:Assume you have noted the following prices for books and the number of pages that each book contains. Pages (x) Price (y) $7.00 Вook A 500 700 7.50 C 750 9.00 D 590 6.50 E 540 7,50 F 650 7.00 G 480 4.50 You decide to run a regression model to examine the relationship between the number of pages and prices for books and attach the results below. SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted RS Standard Ere Observations 0.750 0.563 0.475 0.981 7.000 ANOVA Significance F df MS Regression Residual 1.000 6.192 6.192 6.439 0.052 5.000 6.000 4.808 0.962 Total 11.000 Coefficients Standard Ero. 1.042 Lower 95% Upper 95% Lower 95.0% Upper 95.0% 7.152 0.020 I Stat P-value Intercept Pages (x) 8. In the estimated regression equation above, 1.042 is the intercept 1.042 is the slope 2.377 is the intercept d. 0.004 is the slope 2.377 0.438 0.680 -5.069 7.152 -5.069 0.010 0.004 2.538 0.052 0.000 0.020 0.000 a. b. с. 9. The above equation implies that an increase of 1 in the number of pages is associated with an increase of $1.052 in prices increase of 1 in the number of pages is associated with an increase of $0.01 in prices increase of 1 in the number of pages is associated with an increase of $1.042 in prices increase of 1 in the number of pages is associated with an increase of $0.75 in prices a. b. с. d. 10. Based on the above estimated regression line if the number of pages is 1000, then the point estimate for price is $10 b. $11.042 $750 d. $1052 a. с. 11. The percentage of variation in the dependent variable explained by the variation in the independent variable is a. 0.75% b. 75% с. 0.563% d. 56.3% 2
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