.What is the probability of a stroke over the next 10 years for John Smith, a 68-year-old smoker who has blood pressure of 175? What action might the physician recommend for John to reduce the risk of stroke? Show 3 decimal places Risk of Stroke (%)AgePressureSmoker (Yes=1)1257152024671630135815505686177128591960517618901856155131781200378013511578980227115203670173115671351487720901560199036821191866166034801251362117037592071

Introduction: The Risk of Stroke (%) is the response variable, being predicted using the predictor variables, Age, Pressure, and Smoker, where Smoker is a dummy variable with the value 1 representing the response “Yes”, and the value 0 representing the response “No”.Calculation: We have used Excel to help you solve the problem. First, we have entered the data as follows: Go to Data, select Data Analysis and choose Regression. In Input Y Range, select $A$1:$A$21. In Input X Range, select $B$1:$D$21. Select Labels, and click OK. The following output is obtained: Thus, the estimated equation using the values from the “Coefficients” column of the output is: Risk of Stroke (%) = –107.5365038 + 1.22224407 Age + 0.298352084 Pressure + 6.826351851 Smoker. For the given person, substitute Age = 68, Pressure = 175, and Smoker = 1, in the equation: ŷ = –107.5365038 + (1.22224407 × 68) + (0.298352084 × 175) + (6.826351851 × 1) = –107.5365038 + 83.11259674 + 52.2116147 + 6.826351851 ≈ 34.614. Thus, the probability or risk of stroke over the next 10 years for the given 68-year-old smoker with a blood pressure of 175 is 34.614% (in percentage form) or 0.346 (in proportion form, rounded to three decimal places). The partial slope coefficients of all three predictor variables, Age, Pressure, and Smoker are positive. This implies that if any one of these predictor variables increases in value keeping the other predictors unchanged, then the risk of stroke will increase. This also means that, if any one of these predictors is decreased keeping the other predictors unchanged, then the risk of stroke over the next 10 years will decrease. As a person cannot control their ageing process, there is no way the doctor can recommend them to reduce their age. Now, the smoking habit of a person is completely in their own control. Thus, the doctor can recommend the person to stop smoking, which would reduce their probability of a stroke. Again, the blood pressure can also be treated to be reduced. Thus, the doctor can recommend some medication, or lifestyle changes, or some combination of both, which would help reduce the blood pressure, thereby reducing their risk of a stroke.

Answered: What is the probability of a stroke…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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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