A 10-year study conducted by the American Heart Association provided data on

A 10-year study conducted by the American Heart Association provided data on how Age, Systolic Blood Pressure, and Smoking relate to the Risk of Strokes. Risk is the percentage of chance (probability times 100) that the patient will have a stroke over the next 10-year period. Assume that the following data are from a portion of this study. Risk Age Systolic Blood Pressure Smoker 12 57 152 No 24 67 163 No 13 58 155 No 56 86 177 Yes 28 59 196 No 51 76 189 Yes 18 56 155 Yes 31 78 120 No 37 80 135 Yes 15 78 98 No 22 71 152 No 36 70 173 Yes 15 67 135 Yes 48 77 209 Yes 15 60 199 No 36 82 119 Yes 8 66 166 No 34 80 125 Yes 3 62 117 No 37 59 207 Yes Perform an appropriate analysis on the data at a 0.05 level of significance. Answer the following questions in the boxes below. Problem 2a) What is the sample size of the dataset used for this problem? Problem 2b) What variable type “Smoker” is? Problem 2c) How is “Smoker” variable represented in Excel to perform the analysis along with values. Problem 2d) Type in the names for the Dependent Variable and the Independent Variables in the model. Problem 2e) Write down the Hypothesis for testing the significance of multiple regression using parameters and in statements  2f) Conduct hypothesis test on the statistical significance of multiple regression at a 0.05 level of significance (specify the logic). What is the decision on the hypothesis test? Problem 2g) What is the conclusion based on the above Hypothesis test result? Problem 2h) Conduct hypothesis tests on individual independent variables at 0.05 level of significance (specify the logic). Which ones among the independent variables are significant determinants of "Risk" of Stoke? Problem 2i) Write down the estimated regression equation in terms of the dependent and independent variables for the given problem (Use variable names – Do not use y, x … etc.). Problem 2j) What is the numerical value of Multiple Coefficient of Determination?