SCENARIO 13-19
the Marketing Manager for a Nationally Franchised Lawn

question 40

Short Answer

SCENARIO 13-19
The marketing manager for a nationally franchised lawn service company would like to study the characteristics that differentiate home owners who do and do not have a lawn service.A random sample of 30 home owners located in a suburban area near a large city was selected; 11 did not have a lawn service (code 0) and 19 had a lawn service (code 1).Additional information available
concerning these 30 home owners includes family income (Income, in thousands of dollars) and lawn size (Lawn Size, in thousands of square feet).
The PHStat output is given below:
Binary Logistic Regression $$\begin{array}{l}\begin{array} { l r r r r } \hline { \text { Predictor } } & \text { Coefficients } & \text { SE Coef } & { Z } & p \text {-Value } \\\hline \text { Intercept } & - 7.8562 & 3.8224 & - 2.0553 & 0.0398 \\\text { Income } & 0.0304 & 0.0133 & 2.2897 & 0.0220 \\\text { Lawn Size } & 1.2804 & 0.6971 & 1.8368 & 0.0662\\\text { Deviance } & 25.3089\end{array}\\\end{array}$$
-Referring to SCENARIO 13-19, what is the estimated odds ratio for a home owner with a family income of $100,000 and a lawn size of 2,000 square feet?

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Definitions:

Action Decisions

Decisions that lead to specific actions or interventions aimed at achieving defined goals or solving problems.

Mathematical Simulation

The use of mathematical models to reproduce and study the behavior of complex systems in a virtual environment.

Random Numbers

Numbers generated in a sequence where each number has an equal probability of occurring, widely used in simulations, statistical sampling, and cryptography.

Repeated Use

Refers to the capability of an item or resource to be used multiple times, rather than being disposable after a single use.