SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept Age Pressure Smoker (Yes=1) 0.925203031 0.856000649 0.829000771 6.141529119 df 20 3 16 19 SS MS F 3587.455921 1195.819 31.70387 603.4940788 37.71838 4190.95 Coefficients Standard Error t Stat P-value -107.5365038 1.22224407 0.298352084 14.71362875 -7.30863 1.76E-06 0.159044683 7.68491 9.3E-07 0.045408505 6.570401 6.44E-06 6.826351851 2.908212167 2.347267 0.032109 Significance F 5.76336E-07 Lower 95% Upper 95% -138.7280033 -76.3450042 0.885084402 1.559403737 0.202090353 0.394613815 0.202090353 0.394613815 0.661217468 12.99148623 Lower 95.0% Upper 95.0% -138.7280033 -76.34500423 0.885084402 1.559403737 0.661217468 12.99148623

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Regression Analysis Given in Photo: 

 

1) If we choose the significance level α=0.01, is the variable Smoker a significant factor in explaining the risk of a stroke? Explain. 

2) What are the lower and upper bounds of the 99% confidence interval for the regression coefficient of the variable Smoker? 

3) Can you tell from the 99% confidence interval whether the variable Smoker a significant factor in explaining the risk of a stroke?

 

SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
ANOVA
Regression
Residual
Total
Intercept
Age
Pressure
Smoker (Yes=1)
0.925203031
0.856000649
0.829000771
6.141529119
df
20
3
16
19
SS
MS
F
3587.455921 1195.819 31.70387
603.4940788 37.71838
4190.95
Coefficients Standard Error t Stat P-value
-107.5365038
1.22224407
0.298352084
6.826351851
14.71362875 -7.30863 1.76E-06
0.159044683 7.68491 9.3E-07
0.045408505 6.570401 6.44E-06
2.908212167 2.347267 0.032109
Significance F
5.76336E-07
Lower 95%
Upper 95%
Lower 95.0%
Upper 95.0%
-138.7280033 -76.3450042 -138.7280033 -76.34500423
0.885084402 1.559403737 0.885084402 1.559403737
0.202090353 0.394613815 0.202090353 0.394613815
0.661217468 12.99148623 0.661217468 12.99148623
Transcribed Image Text:SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept Age Pressure Smoker (Yes=1) 0.925203031 0.856000649 0.829000771 6.141529119 df 20 3 16 19 SS MS F 3587.455921 1195.819 31.70387 603.4940788 37.71838 4190.95 Coefficients Standard Error t Stat P-value -107.5365038 1.22224407 0.298352084 6.826351851 14.71362875 -7.30863 1.76E-06 0.159044683 7.68491 9.3E-07 0.045408505 6.570401 6.44E-06 2.908212167 2.347267 0.032109 Significance F 5.76336E-07 Lower 95% Upper 95% Lower 95.0% Upper 95.0% -138.7280033 -76.3450042 -138.7280033 -76.34500423 0.885084402 1.559403737 0.885084402 1.559403737 0.202090353 0.394613815 0.202090353 0.394613815 0.661217468 12.99148623 0.661217468 12.99148623
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