a. Develop an estimated regression equation that can be used to predict the risk of stroke given the age and blood-pressure level. Note: report R² and R-sq adj between 0 and 1. The regression equation is Risk = (to 2 decimals) 8= (to 3 decimals) Risk = (to 2 decimals) + 8 = (to 3 decimals) Age + + R² = (to 3 decimals) b. Consider adding two independent variables to the model developed in part (a), one for the interaction between age and blood-pressure level and the other for whether the person is a smoker. Develop an estimated regression equation using these four independent variables. Note: report R² and R-sq adj between 0 and 1. The regression equation is Age + Pressure R² = (to 3 decimals) R-sq adj = (to 3 decimals) Pressure + R-sq adj= (to 3 decimals) Smoker + AgePress c. At a .05 level of significance, test to see whether the addition of the interaction term and the smoker variable contribute significantly to the estimated regression equation developed in part (a). What is the value of the F test statistic? (to 4 decimals) What is the p-value? (to 4 decimals) P-value is , so the addition of the two independent variables is not statistically significant.
a. Develop an estimated regression equation that can be used to predict the risk of stroke given the age and blood-pressure level. Note: report R² and R-sq adj between 0 and 1. The regression equation is Risk = (to 2 decimals) 8= (to 3 decimals) Risk = (to 2 decimals) + 8 = (to 3 decimals) Age + + R² = (to 3 decimals) b. Consider adding two independent variables to the model developed in part (a), one for the interaction between age and blood-pressure level and the other for whether the person is a smoker. Develop an estimated regression equation using these four independent variables. Note: report R² and R-sq adj between 0 and 1. The regression equation is Age + Pressure R² = (to 3 decimals) R-sq adj = (to 3 decimals) Pressure + R-sq adj= (to 3 decimals) Smoker + AgePress c. At a .05 level of significance, test to see whether the addition of the interaction term and the smoker variable contribute significantly to the estimated regression equation developed in part (a). What is the value of the F test statistic? (to 4 decimals) What is the p-value? (to 4 decimals) P-value is , so the addition of the two independent variables is not statistically significant.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.FOM: Focus On Modeling: Fitting Lines To Data
Problem 10P
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Question
A 10-year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking relate to the risk of strokes. Data from a portion of this study are contained in the Excel Online file below. Risk is interpreted as the probability (times 100) that a person will have a stroke over the next 10-year period. For the smoker variable, 1 indicates a smoker and 0 indicates a nonsmoker. Construct a spreadsheet to answer the following questions.
Transcribed Image Text:a. Develop an estimated regression equation that can be used to predict the risk of stroke given the age and blood-pressure level. Note: report
R² and
R-sq adj between 0 and 1.
The regression equation is
Risk
(to 2 decimals)
=
S =
(to 3 decimals)
Risk =
(to 2 decimals)
+
S =
(to 3 decimals)
+
R²
(to 3 decimals)
=
Age +
b. Consider adding two independent variables to the model developed in part (a), one for the interaction between age and blood-pressure level and the other for whether the
person is a smoker. Develop an estimated regression equation using these four independent variables. Note: report
R² and
R-sq adj between 0 and 1.
The regression equation is
=
Age +
R²
(to 3 decimals)
Pressure
R-sq adj =
=
(to 3 decimals)
Pressure +
=
R-sq adj =
(to 3 decimals)
Smoker +
AgePress
c. At a .05 level of significance, test to see whether the addition of the interaction term and the smoker variable contribute significantly to the estimated regression equation
developed in part (a).
What is the value of the F test statistic?
(to 4 decimals)
What is the p-value? (to 4 decimals)
P-value is
so the addition of the two independent variables is not
I
statistically significant.
Transcribed Image Text:Excel template Saved
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A
Risk
57
22
57
68
39
41
4
23
70
19
21
64
52
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61
37
63
5
57
Home
B
Age
85
68
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Insert
Arial
fx
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Blood Pressure
182
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126
103
182
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207
129
165
✓10
D
Smoker
0
1
0
OOOO
0
0
0
0
0
0
0
0
0
0
0
1
1100.
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E
Formulas
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&
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Data
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Review
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View
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ab
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Help
General
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→.0
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