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TABLE 14-4
a Real Estate Builder Wishes to Determine

question 76

Multiple Choice

TABLE 14-4
A real estate builder wishes to determine how house size (House) is influenced by family income (Income) , family size (Size) , and education of the head of household (School) . House size is measured in hundreds of square feet, income is measured in thousands of dollars, and education is in years. The builder randomly selected 50 families and ran the multiple regression.
Microsoft Excel output is provided below:

 Regression Stuistics  Multiple R 0.865 R Square 0.748 Adjusted R Square 0.726 Standard Error 5.195 Observations 50\begin{array}{ll} & \text { Regression Stuistics } \\\hline \text { Multiple R } & 0.865 \\\text { R Square } & 0.748 \\\text { Adjusted R Square } & 0.726 \\\text { Standard Error } & 5.195 \\\text { Observations } &50 \\\hline\end{array}
ANOVA
 d f S S M S Significance F Regression3605.77361201.92450.0000Residual1214.226426.3962Total494820.0000\begin{array}{lrrrrr}\hline & \text { d f }& \text {S S } & \text {M S } & \text {F } & \text {Significance F } \\\hline \text {Regression} & & 3605.7736 & 1201.9245 & &0.0000 \\\text {Residual} & & 1214.2264 & 26.3962 & \\Total & 49 & 4820.0000 & & & \\\hline\end{array}

 CoefficientsStandard Errort Stat p -valueIntercept 1.63355.80780.2810.7798Income0.44850.11373.95450.0003Size4.26150.80625.2860.0001School 0.65170.43191.5090.1383\begin{array}{lcccc}\hline & \text { Coefficients} & \text {Standard Error} & \text {t Stat }& \text {p -value} \\\hline \text {Intercept }& -1.6335 & 5.8078 & -0.281 & 0.7798 \\ \text {Income} & 0.4485 & 0.1137 & 3.9545 & 0.0003 \\ \text {Size} & 4.2615 & 0.8062 & 5.286 & 0.0001 \\ \text {School }& -0.6517 & 0.4319 & -1.509 & 0.1383 \\\hline\end{array}

-Referring to Table 14-4, suppose the builder wants to test whether the coefficient on Income is significantly different from 0. What is the value of the relevant t-statistic?


Definitions:

Independent Dimensions

Attributes or factors that describe or assess an entity, such as an object or condition, that are not influenced or manipulated by each other.

Reliably Measured

Capable of being measured in a consistent, accurate, and dependable manner.

Sternberg

Refers to Robert Sternberg, a prominent psychologist known for his theory on love and intelligence, which includes components like the triangular theory of love and the triarchic theory of intelligence.

Intelligence Tests

Standardized tests designed to measure a person's cognitive abilities and potential to learn.

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