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(Solved): To study factors that affect the recurrence of heart attacks (HA), an investigator collected data fr ...



To study factors that affect the recurrence of heart attacks (HA), an investigator collected data from 20 HA victims. The investigator fits a logistic regression
model with an indicator of a second HA within one year (1 = HA; 0 = no HA) as the binary outcome. There are two predictors: change to recurrent stroke 

x1 = 1 if the patient completed an anger management program; 0
otherwise x2 = anxiety score (0 = low anxiety, 100=high anxiety)

The computer output is given in Table 3 below:

Table 3: Output

(i) For patients that have completed the anger management program, justify if
high anxiety associated with an increased probability of a second heart
attack.

(ii) Determine if there is a statistical evidence that shows an anger
management program is associated with a reduction in the probability of a
second heart attack.

(iii) Justify why linear regression is inappropriate for modelling the probability
of a second heart attack.

 

Table 3: Output


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Odds of occurrence of 2nd HA increases by 0.11904 for every unit increase in anxiety score and decreases by 1.024 if the patient has completed an anger management programme. p(x1=1,x2=100) = 1/(1+e^{-(-6.36347-1.02411x1+0.11904x100)}) = 0.004237 i) p
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