Which interval level input variables lowers the odds of churning with each unit increase in the variable? Out of these variable, which one lowers the odds of churning the most? Show the calculation of the odds for this one variable. Questions a) to e) are based on the results of the Coefficients and Statistics table from a LogisticRegression Learner node (shown below):Row IDRow 1Row 2Row 3Row4RowSRow6Row7RowBRow9Row 10Row 11Row 12Row 13Row 14Row 15Row 16Row 17Row 18Row 19Row 20Row 21Row 22Row 23Row 24Row 25Row 26Row 27Row 28Row 29Row 30Row 31S LogitYesYesYesYesYesYesYesYesYesYesYesYesYesYesYesYesYesYesYesYesYesYesYesYesYesYesYesYesYesYesYesS Variablegender-MaleSenior Citizen-1Partner-NoDependents YestenurePhoneService-YesMultiplelines-NoMultiplelines YesInternetService-Fiber opticInternet Service-NoOnlineSecurity YesOnlineSecurity-No internet serviceOnlineBackup-NoOnlineBackup-No internet serviceDeviceProtection=YesDeviceProtection-No internet serviceTechSupport YesTechSupport-No internet serviceStreamingTV-YesStreamingTV-No internet serviceStreamingMovies YesStreamingMovies-No internet serviceContract-One yearContract-Two yearPaperlessBiling-NoPayment Method-Mailed checkPayment Method-Bank transfer (automatic)Payment Method-Credit card (automatic)MonthlyChargesTotalChargesConstantD Coeff.-0.0040.310.036-0.078-0.0570.178-0.0870.2651.478-0.214-0.348-0.2140.099-0.2140.11-0.214-0.212-0.2140.503-0.2140.556-0.214-0.659-1.259-0.393-0.331-0.301-0.525-0.03101.383

Given Information: Consider the given results of the coefficients and statistics table from logistic regression. Consider the given output, From the above output, it can be clearly seen that the variables Tenure, Monthly charges, and Total charges are the interval-level input variables. Now look at the coefficient column of these variables, The coefficient of these values are: Variables Coefficient Tenure -0.057 Monthly Charges -0.031 Total Charges 0.000 Here, the exponential of these coefficients will give the expected change in churn rate if we change it by one unit. The model says that, The odds of churning Churn1=1 over the odds of not churning Churn1=0: Tenure=e-0.057=0.945Monthly charges=e-0.031=0.969Total charges=e0=1 Thus, we have: Odds Tenure 0.945 1-0.945=0.055 Monthly charges 0.969 1-0.969=0.031 Total charges 1.0 0.000 For a one-unit change in Tenure, the expected change in log odds will be 0.055. Here, One unit change in Tenure means 5.5% improvements in the odds of churning if we keep others constant. For a one-unit change in monthly charges, the expected change in log odds will be 0.031. For a one-unit change in Total charges, the expected change in log odds will be 0. From the above table, a one-unit change in total charges means no improvement in the odds of churning. It seems unrelated to churn. Hence, the variable Total charges lower the odds of churning with each unit increase in the variable.

Math

Statistics

Which interval level input variables lowers the odds of churning with each unit increase in the variable? Out of these variable, which one lowers the odds of churning the most? Show the calculation of the odds for this one variable.

Which interval level input variables lowers the odds of churning with each unit increase in the variable? Out of these variable, which one lowers the odds of churning the most? Show the calculation of the odds for this one variable.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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