A recent 10-year study conducted by a research team at the Medical School was conducted to...

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Advance Math

A recent 10-year study conducted by a research team at theMedical School was conducted to assess how age, blood pressure, andsmoking relate to the risk of strokes. Assume that the followingdata are from a portion of this study. Risk is interpreted as theprobability (times 100) that the patient will have a stroke overthe next 10-year period. For the smoking variable, define a dummyvariable with 1 indicating a smoker and 0 indicating anonsmoker.


Risk

Age
Blood
Pressure

Smoker
1257150No
2660165No
1159155No
5786170Yes
2859196Yes
5076189Yes
1756155Yes
3278120No
3780135No
157898No
2271152No
3670173Yes
1567135Yes
4877209Yes
1460199No
3682119Yes
865166No
3482125No
361117No
3960208Yes
(a)Develop an estimated multiple regression equation that relatesrisk of a stroke to the person's age, blood pressure, and whetherthe person is a smoker.
Let x1 represent the person's age.
Let x2 represent the person's bloodpressure.
Let x3 represent whether the person is asmoker.
(b)

Is smoking a significant factor in the risk of a stroke?Explain. Use a 0.05 level of significance.

(c)What is the probability of a stroke over the next 10 years forArt Speen, a 65-year-old smoker who has a blood pressure of174?
If required, round your answer to two decimal places.

What action might the physician recommend for this patient?

What other factors could be included in the model asindependent variables?
(i)Family History of Stroke
(ii)Weight/obesity
(iii)Gender
(iv)All of the above

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