The Head of production at Amiba private limited needed to examine the key determinants of company profitability($,000). So, he collected relevant(monthly) data and following is the summary of his regression output. SUMMARY OUTPUT Regression Statistics Multiple R 0.5776 R Square 0.3336 Adjusted R Square 0.2670 Standard Error 2.2743 Observations 34 ANOVA df SS MS F Significance F Regression 3 77.6774 25.8925 5.0060 0.0062 Residual 30 155.1693 5.1723 Total 33 232.8467 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 10.49 2.9211 3.5927 0.0012 4.5291 16.4605 4.5291 16.4605 Variable X 0.99 1.2461 0.7937 0.4336 -1.5559 3.5340 -1.5559 3.5340 Variable Y 2.56 1.1291 2.2663 0.0308 0.2529 4.8648 0.2529 4.8648 Variable Z 2.06 1.2777 1.6107 0.1177 -0.5515 4.6674 -0.5515 4.6674 Interpret the meaning of intercept coefficients and at 5% level review the significance of those variables to the model Calculate the adjusted R square and interpret its meaning ANSWER b(i):
The Head of production at Amiba private limited needed to examine the key determinants of company profitability($,000). So, he collected relevant(monthly) data and following is the summary of his regression output. SUMMARY OUTPUT Regression Statistics Multiple R 0.5776 R Square 0.3336 Adjusted R Square 0.2670 Standard Error 2.2743 Observations 34 ANOVA df SS MS F Significance F Regression 3 77.6774 25.8925 5.0060 0.0062 Residual 30 155.1693 5.1723 Total 33 232.8467 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 10.49 2.9211 3.5927 0.0012 4.5291 16.4605 4.5291 16.4605 Variable X 0.99 1.2461 0.7937 0.4336 -1.5559 3.5340 -1.5559 3.5340 Variable Y 2.56 1.1291 2.2663 0.0308 0.2529 4.8648 0.2529 4.8648 Variable Z 2.06 1.2777 1.6107 0.1177 -0.5515 4.6674 -0.5515 4.6674 Interpret the meaning of intercept coefficients and at 5% level review the significance of those variables to the model Calculate the adjusted R square and interpret its meaning ANSWER b(i):
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
- The Head of production at Amiba private limited needed to examine the key determinants of company profitability($,000). So, he collected relevant(monthly) data and following is the summary of his regression output.
|
SUMMARY OUTPUT |
|
|
Regression Statistics |
|
|
Multiple R |
0.5776 |
|
R Square |
0.3336 |
|
Adjusted R Square |
0.2670 |
|
Standard Error |
2.2743 |
|
Observations |
34 |
|
ANOVA |
|||||
|
|
df |
SS |
MS |
F |
Significance F |
|
Regression |
3 |
77.6774 |
25.8925 |
5.0060 |
0.0062 |
|
Residual |
30 |
155.1693 |
5.1723 |
||
|
Total |
33 |
232.8467 |
|
|
|
|
|
Coefficients |
Standard Error |
t Stat |
P-value |
Lower 95% |
Upper 95% |
Lower 95.0% |
Upper 95.0% |
|
Intercept |
10.49 |
2.9211 |
3.5927 |
0.0012 |
4.5291 |
16.4605 |
4.5291 |
16.4605 |
|
Variable X |
0.99 |
1.2461 |
0.7937 |
0.4336 |
-1.5559 |
3.5340 |
-1.5559 |
3.5340 |
|
Variable Y |
2.56 |
1.1291 |
2.2663 |
0.0308 |
0.2529 |
4.8648 |
0.2529 |
4.8648 |
|
Variable Z |
2.06 |
1.2777 |
1.6107 |
0.1177 |
-0.5515 |
4.6674 |
-0.5515 |
4.6674 |
- Interpret the meaning of intercept coefficients and at 5% level review the significance of those variables to the model
- Calculate the adjusted R square and interpret its meaning
ANSWER b(i):
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 4 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
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
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
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…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman