The figures for Triple A's revenue and the amount of money earned by wage earners in Albany - NY has been updated in 2020, and shown below: X: Local Payroll ($100,000,000s) Y: Sales ($100,000s) 6.5 3 8.0 4 8.5 5.5 6. 4.0 9.0
The figures for Triple A's revenue and the amount of money earned by wage earners in Albany - NY has been updated in 2020, and shown below: X: Local Payroll ($100,000,000s) Y: Sales ($100,000s) 6.5 3 8.0 4 8.5 5.5 6. 4.0 9.0
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
D coefficient of determination only. Formula included
![The figures for Triple A's revenue and the amount of money earned by wage earners in Albany - NY has
been updated in 2020, and shown below:
X: Local Payroll|
($100,000,000s)
Y: Sales
($100,000s)
6.5
8.0
8.5
5.5
4.0
9.0
a) Create the scatter diagram, similar to Figure 4.1 on page 112.
b) Create a table similar to Table 4.2 on page 114 and determine the estimated linear regression
equation.
c) Calculate SST, SSE and SSR by using the formulas and shown on page 115 and create a table similar to
Table 4.3.
d) Calculate the coefficient of determination and the coefficient of correlation, by applying the formulas
presented on page 116.
e) Estimate the variance for the linear regression model you created, by applying the formulas presented
on page 119.
f) Calculate the value of the test statistic F, compare to the value of F associated with a 5% level of
significance and determine if there is a statistically significant relationship between X and Y.
456 N5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3041522-3f1c-45f3-aa8a-2daac80a14bf%2F42082141-ac5f-48da-93f7-d7ae939d5930%2Fz8olkhq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The figures for Triple A's revenue and the amount of money earned by wage earners in Albany - NY has
been updated in 2020, and shown below:
X: Local Payroll|
($100,000,000s)
Y: Sales
($100,000s)
6.5
8.0
8.5
5.5
4.0
9.0
a) Create the scatter diagram, similar to Figure 4.1 on page 112.
b) Create a table similar to Table 4.2 on page 114 and determine the estimated linear regression
equation.
c) Calculate SST, SSE and SSR by using the formulas and shown on page 115 and create a table similar to
Table 4.3.
d) Calculate the coefficient of determination and the coefficient of correlation, by applying the formulas
presented on page 116.
e) Estimate the variance for the linear regression model you created, by applying the formulas presented
on page 119.
f) Calculate the value of the test statistic F, compare to the value of F associated with a 5% level of
significance and determine if there is a statistically significant relationship between X and Y.
456 N5
![8558/epubcfi/6/122[%3
9000000000000000001F70]|/4/2[P700101339900000000000000
0001F70]/50[P70010133... Q E *
b
Q A
Coefficient of Determination
The SSR is sometimes called the explained variability in Y, while the SSE is the unexplained variability in Y.
The proportion of the variability in Y that is explained by the regression equation is called the coefficient of
determination D and is denoted by r. Thus,
2 is the proportion of variability in Y that is explained by the regression equation.
(4-10)
SSR
SSE
SST
SST
Either the SSR or the SSE can be used to find r. For Triple A Construction, we have
21
15.625
0.6944
63
22.5
111
This means that about 69% of the variability in sales (Y) is explained by the regression equation based on
116
/ 57
Show a
lem 3.pdf
Problem 1 Excel.pdf
Problem 1 Excel.pdf
Ex. Credit Prob 1..pdf
Ex. Credit Prob 1..pdf
PDF
PDF
PDF
FOF
2:30 PM
69 F Sunny
11/29/2021](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3041522-3f1c-45f3-aa8a-2daac80a14bf%2F42082141-ac5f-48da-93f7-d7ae939d5930%2Fj0lkbna_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8558/epubcfi/6/122[%3
9000000000000000001F70]|/4/2[P700101339900000000000000
0001F70]/50[P70010133... Q E *
b
Q A
Coefficient of Determination
The SSR is sometimes called the explained variability in Y, while the SSE is the unexplained variability in Y.
The proportion of the variability in Y that is explained by the regression equation is called the coefficient of
determination D and is denoted by r. Thus,
2 is the proportion of variability in Y that is explained by the regression equation.
(4-10)
SSR
SSE
SST
SST
Either the SSR or the SSE can be used to find r. For Triple A Construction, we have
21
15.625
0.6944
63
22.5
111
This means that about 69% of the variability in sales (Y) is explained by the regression equation based on
116
/ 57
Show a
lem 3.pdf
Problem 1 Excel.pdf
Problem 1 Excel.pdf
Ex. Credit Prob 1..pdf
Ex. Credit Prob 1..pdf
PDF
PDF
PDF
FOF
2:30 PM
69 F Sunny
11/29/2021
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.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 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