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

question 171

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 p-value of the test statistic when testing whetherLawnSize makes a significant contribution to the model in the presence of Income?

Understand the principles and applications of multiple linear regression analysis.

Identify and interpret statistical measures such as correlation coefficients, P-values, and residuals.

Recognize the importance of checking assumptions in regression analysis, such as normality of residuals and multicollinearity among variables.

Differentiate between explanatory and response variables within regression models.

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Definitions:

Avoidant Personality Disorder

A mental condition characterized by a long-standing pattern of extreme social inhibition, feelings of inadequacy, and sensitivity to rejection.

Silverware

Utensils made from silver, stainless steel, or another metal used for eating or serving food.

Anxiety

A mental health disorder characterized by feelings of worry, anxiety, or fear that are strong enough to interfere with one's daily activities.

Avoidant Personality Disorder

A psychiatric condition characterized by a long-standing pattern of extreme sensitivity to rejection, social inhibition, and feelings of inadequacy.