Question: Below is the output from a logistic regression model with Readmitted as the dependent variable and all other variables included as potential independent variables. The

Below is the output from a logistic regression model with Readmitted as the dependent variable and all other variables included as potential independent variables. The logistic regression was refined using backwards elimination based on p-values with a 5% significance threshold. Answer the following questions based on this output.

  1. Interpret the coefficient for Num_Procedures. Translate the odds ratio and explain in simple English what it means.
  2. What do the coefficient and odds ratio for the indicator variable Normal_Steady tell us? Interpret in plain English. Make sure to carefully read the variable description of the variable Normal_Steady.

Variable

Name

Description
Unique Patient Identifier
Patient_Id Unique patient identification number
Encounter_Id Each hospital admission's unique identification number
Dependent Variable
Readmitted Whether the patient was readmitted within 30 days of this discharge to an inpatient hospital facility (1=Yes, 0=No)
Patient Demographics
Race Race of the patient (African American, Asian, Caucasian, Hispanic, and Other)
Gender Gender of the patient (Male, Female, Other/Unknown)
Age Age group of the patient
Patient History
Time_Hospital Number of days spent in hospital in previous 12 months window
Num_Procedures Number of medical procedures performed on the patient in previous 12 months window
Number_Diagnoses Number of medical diagnoses determined on the patient in previous 12 months window
Number_Outpatient Number of outpatient visits made by the patient to a hospital in previous 12 months
Number_Emergency Number of emergency room visits made by the patient in previous 12 months
Number_Inpatient Number of inpatient visits made by the patient to a hospital in previous 12 months
Visit Details
High_Steady Indicator suggesting whether patient had high HbA1C and whether compliance with diabetes medication was steady, No HbA1C test performed is base case (see note below)
High_Down Indicator suggesting whether patient had high HbA1C and whether compliance with diabetes medication was down, No HbA1C test performed is base case (see note below)
Normal_Steady

Indicator suggesting whether patient had normal HbA1C and whether compliance with diabetes medication was steady, No HbA1C test performed is base case (see note below)

Normal_Down Indicator suggesting whether patient had normal HbA1C and whether compliance with diabetes medication was down, No HbA1C test performed is base case (see note below)
  1. Note: Information on a patient's HbA1C and diabetes medication compliance is only available if a HbA1C test was performed. Note that this set of indicator variables represents five categories: (1) Test revealed high HbA1C and steady compliance with medication, (2) Test revealed high HbA1C and down compliance, (3) Test revealed normal HbA1C and steady compliance, (4) Test revealed normal HbA1C and down compliance, and (5) No HbA1C test was performed.

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