Question

A 10 year study conducted by the American Heart Association provided data on how age, blood...

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. Assume that the following data are from a portion of the study. Risk is interpreted as the probability that the patient will have a stroke over the next 10 year period. For the smoking variable, define a dummy variable 1 with indicating a smoker and 0 indicating a non-smoker.

Risk Age Pressure Smoker
12 57 152 0
24 67 163 0
13 58 155 0
56 86 177 1
28 59 196 0
51 76 189 1
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 1

SUMMARY OUTPUT
Regression Statistics

Multiple R 0.967777
R Square 0.936593
Adjusted R Square 0.917571
Standard Error 4.231574
Observations 14

ANOVA

df SS MS F Significance F
Regression 3 2.7E-06
Residual 10
Total 13
Coefficients Standard Error t Stat P-value
Intercept -96.245 12.16893 -7.90908 1.3E-05
Age 1.096419 0.132705 8.262106
Pressure 0.294972 4.09E-05
Smoker 3.906635 2.616022 1.493349

A) Construct a 90% confidence interval estimate for the coefficient for Age.
B) Is this regression model a good predictor for risk of stroke? Explain how you know.
C) Predict the risk for a 60 year old smoker wiht blood pressure of 160.
D) Is Smoker a significant independent variable? How do you know?

Homework Answers

Answer #1

A) a 90% confidence interval estimate for the coefficient for Age

B) Since R2 = 0.9365 is quite close to 1, so we can sau that the regression model is a significantly good predictor.

c) The predicted risk for a 60 year old smoker wiht blood pressure of 160

= -96.245 + (1.096419*60) + (0.294972*160) + (3.906635*1)

= 20.642

d) P-value for Smoker

Since P-value = 0.083105 > 0.05, so at 5% level of significance, we can conclude that smoker is a not a significant independent variable.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A 10-year study conducted by the American Heart Association provided data on how age, blood pressure,...
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 follow. 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. Risk Age Blood Pressure Smoker 12 57 152 0 24 67 163 0 13 58...
A statistical program is recommended. A 10-year study conducted by the American Heart Association provided data...
A statistical program is recommended. 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 follow. 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. Risk Age Blood Pressure Smoker 12 57 152 0 24...
A 10-year study conducted by the American Heart Association provided data on how age, blood pressure,...
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....
A major health care organization conducted a study relating the risk of heart attack to a...
A major health care organization conducted a study relating the risk of heart attack to a patient's age, blood pressure, and HDL cholesterol. They have hypothesized the following relationship:                                                 Y = ?0 + ?1X1 + ?2X2 + ?3X3 where Y is heart attack risk, Xl is patient's age, X2 is blood pressure, and X3is HDL level. Data are collected and a regression relationship is determined through the use of the computer. The following Excel output is obtained: Regression Statistics              ANOVA               df              SS        MS          F          Significance F...
The data (bloodpressure) (first column is ID) gives the systolic blood pressure (SBP), body size (QUET),...
The data (bloodpressure) (first column is ID) gives the systolic blood pressure (SBP), body size (QUET), age and smoking history (SMK=0 if nonsmoker, SMK=1 if smoker) for a hypothetical sample of 32 white males over 40 years old from the town of Angina. In the problem, we will choose SBP as the response. The two variables QUET and SMK will be considered. Answer the following questions about the separate straight-line regression of SBP on QUET for smokers (SMK=1) and nonsmoker...
A major health care organization conducted a study relating the risk of heart attack to a...
A major health care organization conducted a study relating the risk of heart attack to a patient's age, blood pressure, and HDL cholesterol. They have hypothesized the following relationship:                                                 Y = ?0 + ?1X1 + ?2X2 + ?3X3 where Y is heart attack risk, Xl is patient's age, X2 is blood pressure, and X3 is HDL level. Data are collected and a regression relationship is determined through the use of the computer. The following Excel output is obtained: Regression Statistics              ANOVA               df              SS        MS           F          Significance...
While job opportunities for men and women are considerably more balanced than they were 40 years...
While job opportunities for men and women are considerably more balanced than they were 40 years ago, the career aspirations may still differ. Is there a difference in majors chosen by men and women? Using the sample of 200 MBA students (in the data file), conduct a Chi Square Test of Independence to determine if one's choice of major is independent of their gender. Use a .05 significance level. ID Gender Major Employ Age MBA_GPA BS GPA Hrs_Studying Works FT...
Historically, the MBA program at Whatsamattu U. has about 40% of their students choose a Leadership...
Historically, the MBA program at Whatsamattu U. has about 40% of their students choose a Leadership major, 30% choose a Finance major, 20% choose a Marketing major, and 10% choose no major. Does the most recent class of 200 MBA students fit that same pattern or has there been a shift in the choice of majors. Using the sample of 200 students (in the data file), conduct a Chi Square Goodness of Fit test to determine if the current distribution...