Shown below is Minitab output from a logistic regression attempt to predict if a family is from outside a metro area by annual food spending by household. Families residing in metro regions are coded as 0 and those residing outside metro regions as 1. Study the output. What is the model? Comment on the strength of the predictor. Thinking about households and metro areas, does the model make sense to you? Use the model to estimate the probability that a household is from outside a metro area if its annual food spending is $12,000.

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Variable Outside Metro Areal Coefficients Value 1 0 Total - Count 80 (Event) 120 200 Term Coef SE Coef Z-Value P-Value Constant 0.705987 0.451245 1.56 0.118 Annual Food Spending -0.0001257 0.0000489 -2.57 0.010 Regression Equation P(1) = exp (Y)/(1+ exp (Y')) Y = 0.705987 0.0001257 Annual Food Spending