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Logistic Regression

The marketing manager for a nationally franchised lawn service company would like to study the characteristics that differentiate home owners who do and who do not have a lawn service. A random sample of 30 home owners located in a suburban area near a large city was selected; 15 did not have a lawn service (code 0) and 15 had a lawn service (code 1). Additional information available concerning these 30 home owners includes family income (in thousands of dollars), lawn size (in thousands of square feet), attitude toward outdoor recreational activities (0=unfavorable, 1=favorable), number of teenagers in the household, and age of the head of the household.

a. Estimate a logistic regression model to predict the probability of using a lawn service based on family income (in thousands of dollars), lawn size (in thousands of square feet), attitude toward outdoor recreational activities (0=unfavorable, 1=favorable), number of teenagers in the household, and age of the head of the household.

b. Explain the meaning of the regression coefficients for the model fit.

c. Predict the probability of purchasing a lawn service for a 48-year-old home owner with a family income of $100000, a lawn size of 5000 square feet, a negative attitude toward outdoor recreation, and one teenager in the household.

Refer to the R Rubric for detailed grading criteria.