[Regression Analysis] How do you solve this?a) Is smoking a significant factor in the risk of stroke? Justify your answer testing appropriate hypothesis. Please, provide: hypotheses, test statistic, p-value, and conclusion. Use α = 0.05. b) Form a 95% confidence interval for βsmoker. Interpret the interval. 6. A 10-year study conducted by the American Heart Association provided data on howage, blood pressure, and smoking relate to the risk of strokes. Assume that the followingdata are from a portion of this study. Risk is interpreted as the probability (times 100)that the patient will have a stroke over the next 10-year period. For the smoking variable,a dummy variable was defined, with 1 indicating a smoker and 0 indicating nonsmoker.## Risk Age Pressure Smoker## 112 57## 22467## 313 58## 456 86## 52859##51 76## 718 56## 8#### 10## 11## 12## 13## 14## 15## 16## 1731 7837 8015 7822 7136 7015 6748 7715 6036 828 66## 1834 80## 193 62## 20 37 59152163155177196189155120135981521731352091991191661251172070001011111010101modC=1m (Risk Age+Pressure+Smoker);anova (modC);Df Sum Sq Mean Sq F value1 1771.98 1771.98 53.47261 1607.66 1607.66 48.51381 281.10 281.10 8.4826#### Age## Pressure## Smoker## Residuals 16 530.21 33.14 summary (modC);#### (Intercept)## Age## Pressure## SmokermodR=1m (Risk Age+Pressure);anova (modR);summary (modR);Pr (>|t|)Estimate Std. Error t value-91.7594984 15.22276009 -6.027783 1.757555e-051.0767411 0.16596361 6.487814 7.487302e-060.2518135 0.04522552 5.567951 4.243665e-058.7398711 3.00081543 2.912499 1.017355e-02modR=1m (Risk Age+Pressure);anova (modR);Df Sum Sq Mean Sq F value1 1771.98 1771.98 37.130#### Age## Pressure 1 1607.66 1607.66 33.687## Residuals 17 811.31 47.72summary (modR);#### (Intercept)## Age## PressurePr(>|t|)Estimate Std. Error t value-110.9422630 16.46987072 -6.736074 3.487048e-061.3150049 0.17328986 7.588470 7.434627e-070.2964047 0.05106897 5.804008 2.115249e-05

The provided information is as follows:The regression output is given in the example.The regression…

[Regression Analysis] How do you solve this? a) Is smoking a significant factor in the risk of stroke? Justify your answer testing appropriate hypothesis. Please, provide: hypotheses, test statistic, p-value, and conclusion. Use α = 0.05. b) Form a 95% confidence interval for βsmoker. Interpret the interval.

[Regression Analysis] How do you solve this? a) Is smoking a significant factor in the risk of stroke? Justify your answer testing appropriate hypothesis. Please, provide: hypotheses, test statistic, p-value, and conclusion. Use α = 0.05. b) Form a 95% confidence interval for βsmoker. Interpret the interval.

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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