Use Excel’s Data Analysis tool to conduct a multiple regression, using Risk of Stroke as the dependent variable, and all the rest of variables as independent variables. Choose confidence level at 99%. Risk of Stroke (%) Age Pressure Smoker (Yes=1) 12 57 152 0 24 67 163 0 13 58 155 0 56 86 177 1 28 59 196 0 51 76 189 0 18 56 155 1 31 78 120 0 37 80 135 1 15 78 98 0 22 71 152 0 36 70 173 1 15 67 135 1 48 77 209 0 15 60 199 0 36 82 119 1 8 66 166 0 34 80 125 1 3 62 117 0 37 59 207 1 Interpret the multiple coefficient of determination R-square. Compare the R-square of the simple linear regression and the R-square of the multiple regression, what does the differences in R-squares tell us? What does F-test for significance tell us?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 2ECP
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Use Excel’s Data Analysis tool to conduct a multiple regression, using Risk of Stroke as the dependent variable, and all the rest of variables as independent variables. Choose confidence level at 99%.

Risk of Stroke (%) Age Pressure Smoker (Yes=1)
12 57 152 0
24 67 163 0
13 58 155 0
56 86 177 1
28 59 196 0
51 76 189 0
18 56 155 1
31 78 120 0
37 80 135 1
15 78 98 0
22 71 152 0
36 70 173 1
15 67 135 1
48 77 209 0
15 60 199 0
36 82 119 1
8 66 166 0
34 80 125 1
3 62 117 0
37 59 207 1
  1. Interpret the multiple coefficient of determination R-square.
  2. Compare the R-square of the simple linear regression and the R-square of the multiple regression, what does the differences in R-squares tell us?
  3. What does F-test for significance tell us?

 

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