\fResponse Risk 40 Response Risk 4 Whole Model 4 Whole Model >Actual by Predicted Plot DActual by Predicted Plot _ Summary of Fit Summary of Fit RSquare 0.812135 RSquare 0.739296 RSquare Adj 0.762038 [py arenbgy 0.690414 Root Mean Square Error 8.600906 Root Mean Square Error 9.810272 Mean of Response 27.65 Mean of Response 27.65 Observations (or Sum Wats) 20 Observations (or Sum Wgts) 20 Analysis of Variance Analysis of Variance Sum of Sum of Source DF Squares Mean Square F Ratio Source DF Squares Mean Square F Ratio Model 4 4796.9163 1199.23 16.2111 Model 3 4366.6071 1455 56 15. 1241 Error 15 1109.6337 73.98 Prob > F Error 16 1539.8629 96 24 Prob > F C. Total 19 5906.5500 <.ddd c. total parameter estimates term estimate sto error t ratio probelu std probe intercept age> Pressure 0.2457543 0.067829 3.62 0 0025 Pressure 0.2599966 0.077073 3.37 0.0039 Smoke 15.767102 4.499235 3.50 0 0032 Smoker 14.861078 5.113947 2.91 0.0103* (Pressure-157.1)(Smoker-0 5) 0.2998127 0.124321 2.41 0 0292* Effect Tests Effect Tests Residual by Predicted Plot Residual by Predicted Plot 30- 25- 25- Risk Residua 20- 20- Risk Residua 15- 10- 10 - inc -5- -10- -10- -15- 15- 10 20 30 40 50 60 70 10 20 30 40 50 60 70 Risk Predicted Risk Predicted Age Pressure Smoker Residual Risk |Predicted Risk HATS RISK 15 0 3.1015037026 0.0903962174 0.162676592 163 0 6.3487024734 17.651297527 0.1214266784 155 0 3.0442025179 9.9557974021 0.1441287086 177 1 0.6461651596 55.35383484 0.2837371838 196 -2.655421422 14.655421422 0.3028106459 189 -1.403189573 52.403189573 0.1893796058 155 1 -5.553579316 23.553579316 0.3776050107 120 0 9.0017339128 21.998266087 0.2524930656 135 1 28830589639 34.118941136 0.1932111113 152 -4.869610854 19.869610854 0.4143782834 2.323600613 19.678399387 0.1251802426 173 1 -5.453474124 41.453474124 0.1165475697 135 -9.108795336 24 108795336 0.2344843631 209 1 -13.08625098 61.065260985 0.3607415245 199 0 -0.712822687 15.712822687 0.3337554832 119 6.6739153593 28.325084641 0.3129821906 186 -9. 168984053 17. 168984053 0.1267158386 125 3.8395653851 30.160334115 0.2523284239 117 8.393004284 9 3930042837 0.2948545683 207 1 20.562493056 46.437506934 0.4005609082A 10-year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking relate to the risk of strokes. Assume that the following data are a portion from this study. Risk is interpreted as the probability (times 100) that the patient will have a stroke over the next 10-year period. The patient is a smoker if Smoker = 1 and not a smoker if Smoker=0. Risk Age Pressure Smoker 12 57 152 0 24 67 163 1 13 58 155 0 56 86 177 1 a) Look at the output for the following two regression models that relate the risk of stroke to the person's age, blood pressure, and smoking status. Write out the 'best' regression model. Use that model for the remaining questions. b) Solve the equation to find the slope coefficient on Blood Pressure for a non-smoker. c) What is the probability of a stroke over the next 10 years for John Doe, a 68 year-old smoker who has a blood pressure of 175? d) Are they any high leverage points that we should be concerned about
