Real Estate Builder
a Real Estate Builder Wishes to Determine

Essay

Real Estate Builder
A real estate builder wishes to determine how house size is influenced by family income,family size,and education of the head of household.House size is measured in hundreds of square feet,income is measured in thousands of dollars,and education is measured in years.A partial computer output is shown below.
SUMMARY OUTPUT
$$\begin{array}{l}\text { Regression Statistics }\\\begin{array} { l l } \text { Multiple R } & 0.865 \\\text { R Square } & 0.748 \\\text { Adjusted R Square } & 0.726 \\\text { Standard Error } & 5.195 \\\text { Observations } & 50\end{array}\end{array}$$ ANOVA
$$\begin{array} { | l | c c c c | } \hline & \text { Coeff } & \text { St. Error } & \boldsymbol { t }\boldsymbol {Sat } & \boldsymbol { P } \text {-value } \\\hline \text { Intercept } & - 1.6335 & 5.807 \mathrm { 8 } & - 0.281 & 0 .7798 \\\text { Family Incame } & 0.4485 & 0.1137 & 3.9545 & 0 .0003 \\\text { Family Size } & 4.2615 & 0.8062 & 5.286 & 0 .0001 \\\text { Education } & - 0.6517 & 0.4319 & - 1.509 & 0 .1383 \\\hline\end{array}$$
-{Real Estate Builder Narrative} Which of the following values for the level of significance is the smallest for which all explanatory variables are significant individually: $\alpha$ = .01,.05,.10,or .15?