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. 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?

Answer #1

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

B) Since R^{2} = 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.

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 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, 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
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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
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Statistics ANOVA df SS MS F Significance
F...

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and SMK will be considered. Answer the following questions about
the separate straight-line regression of SBP on QUET for smokers
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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...

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Historically, the MBA program at Whatsamattu U. has about 40% of
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