Researchers at an insurance company want to study the risk factors associated wi

Question

Researchers at an insurance company want to study the risk factors associated with heart disease, so they collect data from 240 people. As their dependent variable, they use a question that asks respondents if they have been hospitalized for heart problems (0=no, 1= yes). They also collect information on the respondent sex (0=female, 1=male) weight (in pounds), tobacco use ( packs of cigarettes per week) and exercise ( in hours per week). Their analysis produces the following logistical regression table.

a) Interpret the results for sex and weight, paying special attention to e^b and statistical significance.

Variable Constant Sex Weight Tobacco Exercise SE Wald Si 4.523 2.552 0.1430.061 0.495 0.316 0.132 0.175 4.824 0.028 0.000 3.142 0.076 92.149 5.524 0.0191.154 2.448 0.118 0.610 0.576 0.448 0.876

Explanation / Answer

beta coefficient for sex is 4.523 , e^b1 = 92.149

e1 is the relative increase in the odds of disease, going from x1 = 0 to x1 = 1 holding other variable fixed

hence 92.149 is the relative increase in the odds of disease, going from female to male.

and that of weight is 0.143 ,e^b2 = 1.154

hence 1.154 is the relative increase in the odds of disease, increasing in weight by 1 pound

if p-value is less than level of significance, the variable is significant

p-value for sex is 0.076 > 0.05

hence it is not significant

i

and that of weight is 0.019 < 0.05

hence it is significant

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