Instruction 13 ANOVA Note: Adj R Square = Adjusted R Square; Std

question 145

Multiple Choice

Instruction 13.4
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 metres, 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:
OUTPUT
SUMMARY
Regression Statistics
$\begin{array} { l l } \text { Multiple R } & 0.865 \\ \text { R Square } & 0.748 \\ \text { Adj. R Square } & 0.726 \\ \text { Std. Error } & 5.195 \\ \text { Observations } & 50 \end{array}$
ANOVA
$\begin{array} { l l l l l l } & d f & \text { SS } & \text { MS } & F & \text { Signif F} \\ \text { Regression } & & 3605.7736 & 901.4434 & & 0.0001 \\ \text { Residual } & & 1214.2264 & 26.9828 & & \\ \text { Total } & 49 & 4820.0000 & & & \\ & & & & & \\ & \text { Coeff } & \text { StdError } & t \text { Stat } & p \text { value } & \\ \text { Intercept } & - 1.6335 & 5.8078 & - 0.281 & 0.7798 & \\ \text { Income } & 0.4485 & 0.1137 & 3.9545 & 0.0003 & \\ \text { Size } & 4.2615 & 0.8062 & 5.286 & 0.0001 & \\ \text { School } & - 0.6517 & 0.4319 & - 1.509 & 0.1383 & \end{array}$ Note: Adj. R Square = Adjusted R Square; Std. Error = Standard Error
-Referring to Instruction 13.4,what minimum annual income would an individual with a family size of 9 and 10 years of education need to attain a predicted 5,000 square metre home (House = 50) ?

• A) $56.75 thousand.
• B) $211.85 thousand.
• C) $178.33 thousand.
• D) $44.14 thousand.

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Definitions:

Consumer Surplus

The difference between the total amount that consumers are willing to pay and the total amount that they actually pay.

Demand Curve

A graph showing the relationship between the price of a good and the quantity of the good that consumers are willing and able to purchase at various prices.

Consumer Surplus

The gap in finances between the consumers' ability and willingness to pay versus the real payment for a good or service.

Graphing Calculator

An electronic device capable of plotting graphs, solving simultaneous equations, and performing other tasks with variables.