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TABLE 14-17
the Marketing Manager for a Nationally Franchised SUMMARY OUTPUT\text {SUMMARY OUTPUT}

Question 248

Short Answer

TABLE 14-17
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; 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 (Income, in thousands of dollars), lawn size (Lawn Size, in thousands of square feet), attitude toward outdoor recreational activities (Attitude 0 = unfavorable, 1
= favorable), number of teenagers in the household (Teenager), and age of the head of the household (Age).
The Minitab output is given below:
SUMMARY OUTPUT\text {SUMMARY OUTPUT}
 Regression Statistics  Multiple R 0.916 R Square0.839 Adjusted R Square0.732 Standard Error 0.24685 Observations6\begin{array}{ll}\hline \text { Regression Statistics } \\\hline \text { Multiple R }& 0.916 \\ \text { R Square} & 0.839 \\ \text { Adjusted R Square} & 0.732 \\ \text { Standard Error }& 0.24685 \\ \text { Observations} & 6 \\\hline\end{array}

ANOVA
d f  SS  M S  F Significance F  Regression20.952190.476107.8130.0646Residual30.182810.06094Total51.13500\begin{array}{lccclc}\hline & \text {d f }& \text { SS }& \text { M S } & \text { F } & \text {Significance F } \\\hline \text { Regression} & 2 & 0.95219 & 0.47610 & 7.813 & 0.0646 \\ \text {Residual} & 3 & 0.18281 & 0.06094 & & \\ \text {Total} & 5 & 1.13500 & & & \\\hline\end{array}

Coefficients Standard Errort Stat  p -value Intercept 4.5938971.133745424.0520.0271Units 0.2472700.062684853.9450.0290SAT Total 0.0014430.001012411.4250.2494\begin{array}{lrcrr}\hline & \text {Coefficients }& \text {Standard Error} & \text {t Stat } & \text { p -value} \\\hline \text { Intercept }& 4.593897 & 1.13374542 & 4.052 & 0.0271 \\ \text {Units }& -0.247270 & 0.06268485 & -3.945 & 0.0290 \\ \text {SAT Total }& 0.001443 & 0.00101241 & 1.425 & 0.2494 \\\hline\end{array}

-Referring to Table 14-17, what is the estimated probability that a 48-year-old home owner with a family income of $100,000, a lawn size of 5,000 square feet, a positive attitude toward outdoor recreation, and two teenagers in the household will purchase a lawn service?

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