Question: Shown below is Minitab output from a logistic regression analysis to develop a model to predict whether a shopper in a mall store will purchase

Shown below is Minitab output from a logistic regression analysis to develop a model to predict whether a shopper in a mall store will purchase something by the number of miles the shopper drives to get to the mall store. The original data were coded as 1 if the shopper purchases something and 0 if they do not. Study the output and determine the model.


Shown below is Minitab output from a logistic regression analysis

Discuss the strength or lack of strength of the model and the predictor. Use the output to compute the predicted probability that a person would purchase something if he/she drives 5 miles to get to the store. Now calculate the probabilities for 4 miles, 3 miles, 2 miles, and 1 mile. What happens to the probability over thesevalues?

Variable Value Count Buy? 65 (Event) Total 120 Logistic Regression Table Odds 95% CI Coef SE Coef 3.94828 0.736737 1.36988 0.255838 P Ratio Lower Upper Predictor Constant Miles to Store 5.36 0.000 5.35 0.000 3.93 2.38 6.50 Log-Likelihood32.492 Test that all slopes are zero: G = 100.537, DF = 1, P-value = 0.000

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