1. What does F-test for significance tell us? 2. What does t-test for significance tell us? 3. Can you tell from the 95% confidence intervals whether the two independent variables are statistically significant? SUMMARY OUTPUT Regression Statistics Multiple R 0.2799898 R Square 0.0783943 Adjusted R Square 0.0773582 Standard Error 815.92221 Observations 1782 ANOVA df SS MS F Significance F Regression 2 100742487 50371243.5 75.66328 0 Residual 1779 1184331979 665729.049 Total 1781 1285074466 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 453.2116 54.454876 8.32269998 1.691E-16 346.409336 560.01385 346.40934 560.01385 Planning and Service Area -2.9570645 2.02988334 -1.4567657 0.1453575 -6.938271392 1.0241424 -6.9382714 1.0241424 Participant Key Characteristics Sub-Category
1. What does F-test for significance tell us? 2. What does t-test for significance tell us? 3. Can you tell from the 95% confidence intervals whether the two independent variables are statistically significant? SUMMARY OUTPUT Regression Statistics Multiple R 0.2799898 R Square 0.0783943 Adjusted R Square 0.0773582 Standard Error 815.92221 Observations 1782 ANOVA df SS MS F Significance F Regression 2 100742487 50371243.5 75.66328 0 Residual 1779 1184331979 665729.049 Total 1781 1285074466 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 453.2116 54.454876 8.32269998 1.691E-16 346.409336 560.01385 346.40934 560.01385 Planning and Service Area -2.9570645 2.02988334 -1.4567657 0.1453575 -6.938271392 1.0241424 -6.9382714 1.0241424 Participant Key Characteristics Sub-Category
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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Question
1. What does F-test for significance tell us?
2. What does t-test for significance tell us?
3. Can you tell from the 95% confidence intervals whether the two independent variables are statistically significant?
SUMMARY OUTPUT | ||||||||
Regression Statistics | ||||||||
Multiple R | 0.2799898 | |||||||
R Square | 0.0783943 | |||||||
Adjusted R Square | 0.0773582 | |||||||
Standard Error | 815.92221 | |||||||
Observations | 1782 | |||||||
ANOVA | ||||||||
df | SS | MS | F | Significance F | ||||
Regression | 2 | 100742487 | 50371243.5 | 75.66328 | 0 | |||
Residual | 1779 | 1184331979 | 665729.049 | |||||
Total | 1781 | 1285074466 | ||||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
Intercept | 453.2116 | 54.454876 | 8.32269998 | 1.691E-16 | 346.409336 | 560.01385 | 346.40934 | 560.01385 |
Planning and Service Area | -2.9570645 | 2.02988334 | -1.4567657 | 0.1453575 | -6.938271392 | 1.0241424 | -6.9382714 | 1.0241424 |
Participant Key Characteristics Sub-Category | 91.438973 | 7.48583988 | 12.214925 | 5.218E-33 | 76.75700756 | 106.12094 | 76.757008 | 106.12094 |
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