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Statistics

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Apr 3, 2024

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Question 9 10/ 10 pts A researcher is building a regression model to explain stroke risk by looking at three factors: Age, Blood pressure, and Smoker status (i.e. whether the individual is a smoker or not). Below is the regression output from that study. Based on the output, which of the studied factors (age, blood pressure, smoker status) are statistically significant at a=0.05? SUMMARY OUTPUT Regression Statistics Multiple R 0.85 RSquare 0.73 Adjusted R Square 0.68 Standard Error 7.67 Observations 20 ANOVA df SS MS F Significance F Regression 3 2534.41 844.80 14.37 0.00008 Residual 16 940.79 58.80 Total 19 3475.20 Coefficients Standard Error t Stat P-value Lower 5% Upper 95% Intercept -74.68 20.28 -3.68 0.00201 -117.67 -31.69 Age 0.92 0.22 417 0.00072 0.45 1.39 Blood Pressure 0.21 0.06 3.42 0.00351 0.08 0.33 Smoker Status 6.91 4.00 173 0.10292 -1.56 15.39 Only Age and Blood Pressure are statistically significant Only Smoker Status is statistically significant All of the factors are statistically significant None of the factors are statistically significant
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