Problem 5 Suppose that we are working with some doctors on heart attack patients. The dependent variable is whether the patient has had a second heart attack within 1 year (yes=1). We have two independent variables, one is age of the patient and the other is a score on anxiety scale (a higher score means more anxious). After applying logistic regression model, we have the following output: Deviance Residuals: Min 10 Median 30 Маx -1.064 0.000 0.000 0.000 1.446 Coefficients: Estimate Std. Error z value Pr (>|z|) (Intercept) Age Anxiety -471.441 223186.509 -0.002 0.998 6.394 3057.349 0.002 0.998 1.347 611.470 0.002 0.998 (Dispersion parameter for binomial family taken to be 1) Null deviance: 27.7259 on 19 degrees of freedom Residual deviance: AIC: 9.7087 3.7087 on 17 degrees of freedom Number of Fisher Scoring iterations: 23 a. Determine the estimated logistic regression equation. b. Calculate the odds ratio and interpret.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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Problem 5
Suppose that we are working with some doctors on heart attack patients. The dependent
variable is whether the patient has had a second heart attack within 1 year (yes=1). We have
two independent variables, one is age of the patient and the other is a score on anxiety scale (a
higher score means more anxious). After applying logistic regression model, we have the
following output:
Deviance Residuals:
Min
10 Median
30
Маx
-1.064
0.000
0.000
0.000
1.446
Coefficients:
Estimate Std. Error z value Pr (>|z|)
(Intercept)
-471.441 223186.509
-0.002
0.998
Age
6.394
3057.349
0.002
0.998
Anxiety
1.347
611.470
0.002
0.998
(Dispersion parameter for binomial family taken to be 1)
Null deviance: 27.7259
19 nס
degrees of freedom
Residual deviance:
3.7087
on 17
degrees of freedom
AIC: 9.7087
Number of Fisher Scoring iterations: 23
a. Determine the estimated logistic regression equation.
b. Calculate the odds ratio and interpret.
Transcribed Image Text:Problem 5 Suppose that we are working with some doctors on heart attack patients. The dependent variable is whether the patient has had a second heart attack within 1 year (yes=1). We have two independent variables, one is age of the patient and the other is a score on anxiety scale (a higher score means more anxious). After applying logistic regression model, we have the following output: Deviance Residuals: Min 10 Median 30 Маx -1.064 0.000 0.000 0.000 1.446 Coefficients: Estimate Std. Error z value Pr (>|z|) (Intercept) -471.441 223186.509 -0.002 0.998 Age 6.394 3057.349 0.002 0.998 Anxiety 1.347 611.470 0.002 0.998 (Dispersion parameter for binomial family taken to be 1) Null deviance: 27.7259 19 nס degrees of freedom Residual deviance: 3.7087 on 17 degrees of freedom AIC: 9.7087 Number of Fisher Scoring iterations: 23 a. Determine the estimated logistic regression equation. b. Calculate the odds ratio and interpret.
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