1) What is the probability of a stroke over the next 10 years for John Smith, a 68-year-old smoker who has blood pressure of 175? What action might the physician recommend for John to reduce the risk of stroke?   2) Is there any multicollinearity problem in the above multiple regression model? How do you know?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 37E
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1) What is the probability of a stroke over the next 10 years for John Smith, a 68-year-old smoker who has blood pressure of 175? What action might the physician recommend for John to reduce the risk of stroke?

 

2) Is there any multicollinearity problem in the above multiple regression model? How do you know?

 

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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