d. The effect of sealer plate temperature (x₁) and sealer plate clearance (x2) on soap wrapping machine quality (y, as % sealed properly) was studied. The following linear regression model was produced: ŷ= 65 +0.1 x₁ + 1.2 x2. If two machines have the same plate temperature, but their plate clearances differ by 1 unit, the % sealed properly is expected to differ by ________ units (fill in the blank). e. True or False? The variance of ŷ, should be the same for each different value of x₁. f. In a multiple regression what is the common effect of adding an irrelevant (non-significant) variable to the model? (Circle the correct answer.) i. SSE goes up. ii. Total variation of the response variable increases. iii. Parameter estimates become biased. iv. R² goes up. g. Consider a simple linear regression, = B+ Bx. In testing the null hypothesis of significance of regression Ho: P = 0 with a t-statistic, we find that t = 3. The value of the F- statistic in the ANOVA would be: i. 3 iii. 9 ii. 6 iv. None of the above, they are different statistics.
d. The effect of sealer plate temperature (x₁) and sealer plate clearance (x2) on soap wrapping machine quality (y, as % sealed properly) was studied. The following linear regression model was produced: ŷ= 65 +0.1 x₁ + 1.2 x2. If two machines have the same plate temperature, but their plate clearances differ by 1 unit, the % sealed properly is expected to differ by ________ units (fill in the blank). e. True or False? The variance of ŷ, should be the same for each different value of x₁. f. In a multiple regression what is the common effect of adding an irrelevant (non-significant) variable to the model? (Circle the correct answer.) i. SSE goes up. ii. Total variation of the response variable increases. iii. Parameter estimates become biased. iv. R² goes up. g. Consider a simple linear regression, = B+ Bx. In testing the null hypothesis of significance of regression Ho: P = 0 with a t-statistic, we find that t = 3. The value of the F- statistic in the ANOVA would be: i. 3 iii. 9 ii. 6 iv. None of the above, they are different statistics.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
do d,e,f,g please
![Problem 2 (no need to show details of your work)
Miscellaneous short-answer questions. Answer the following questions (circle the correct
answer or fill in the blanks whenever asked).
Please refer to the following information for questions (a)-(c).
Normal Probability Plot
Percent
99
90
50
10
....you ool.49.
-500 -250 6
Residual
250 500
Residual
500
250
-250
-500
·
0
1000
Versus Fits
2000
Fitted Value
3000
4000
Mean
StDev
N
AD
P-Value
-2.96574E-14
a. True or False ? According to the Anderson-Darling test result, the normality assumption is
violated, because the p-value = 0.410 > AD=0.364.
i. SSE goes up.
ii. Total variation of the response variable increases.
iii. Parameter estimates become biased.
iv. R² goes up.
271.4
23
0.364
0.410
b. True or False ? Since the Residual vs Fitted value plot depicts an obvious severe pattern, we
reject that the error terms have a constant variance.
c. True or False? We cannot tell whether the assumption E(&) = 0 is violated or not, because we
do not have the residuals available to take their average.
d. The effect of sealer plate temperature (x₁) and sealer plate clearance (x2) on soap wrapping
machine quality (y, as % sealed properly) was studied. The following linear regression model
was produced: y = 65 +0.1 x₁ + 1.2 x2. If two machines have the same plate temperature, but
their plate clearances differ by 1 unit, the % sealed properly is expected to differ by
(fill in the blank).
units
e. True or False? The variance of ŷ, should be the same for each different value of xi.
f. In a multiple regression what is the common effect of adding an irrelevant (non-significant)
variable to the model? (Circle the correct answer.)
iii. 9
iv. None of the above, they are different statistics.
y=
g. Consider a simple linear regression, y = + ₁ x. In testing the null hypothesis of
significance of regression Ho: P = 0 with a t-statistic, we find that t = 3. The value of the F-
statistic in the ANOVA would be:
i. 3
ii. 6
h. True or False? Based on census data for the 50 states in the United States, the correlation
between the number of churches per state and the number of crimes per state was 0.85. A
reasonable conclusion would be: The correlation is partly spurious because of the hidden
variable of population size, that is to say, both the number of churches and the number of crimes
are related to the population size.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9e27b5d-0ab8-428e-954d-97d64fc14c61%2F8e664633-3acc-432d-9772-77b1c599e187%2Fktcn6orj_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 2 (no need to show details of your work)
Miscellaneous short-answer questions. Answer the following questions (circle the correct
answer or fill in the blanks whenever asked).
Please refer to the following information for questions (a)-(c).
Normal Probability Plot
Percent
99
90
50
10
....you ool.49.
-500 -250 6
Residual
250 500
Residual
500
250
-250
-500
·
0
1000
Versus Fits
2000
Fitted Value
3000
4000
Mean
StDev
N
AD
P-Value
-2.96574E-14
a. True or False ? According to the Anderson-Darling test result, the normality assumption is
violated, because the p-value = 0.410 > AD=0.364.
i. SSE goes up.
ii. Total variation of the response variable increases.
iii. Parameter estimates become biased.
iv. R² goes up.
271.4
23
0.364
0.410
b. True or False ? Since the Residual vs Fitted value plot depicts an obvious severe pattern, we
reject that the error terms have a constant variance.
c. True or False? We cannot tell whether the assumption E(&) = 0 is violated or not, because we
do not have the residuals available to take their average.
d. The effect of sealer plate temperature (x₁) and sealer plate clearance (x2) on soap wrapping
machine quality (y, as % sealed properly) was studied. The following linear regression model
was produced: y = 65 +0.1 x₁ + 1.2 x2. If two machines have the same plate temperature, but
their plate clearances differ by 1 unit, the % sealed properly is expected to differ by
(fill in the blank).
units
e. True or False? The variance of ŷ, should be the same for each different value of xi.
f. In a multiple regression what is the common effect of adding an irrelevant (non-significant)
variable to the model? (Circle the correct answer.)
iii. 9
iv. None of the above, they are different statistics.
y=
g. Consider a simple linear regression, y = + ₁ x. In testing the null hypothesis of
significance of regression Ho: P = 0 with a t-statistic, we find that t = 3. The value of the F-
statistic in the ANOVA would be:
i. 3
ii. 6
h. True or False? Based on census data for the 50 states in the United States, the correlation
between the number of churches per state and the number of crimes per state was 0.85. A
reasonable conclusion would be: The correlation is partly spurious because of the hidden
variable of population size, that is to say, both the number of churches and the number of crimes
are related to the population size.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 6 steps with 33 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman