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

question 10

Multiple Choice

Instruction 13.16
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
$\begin{array} { l l l l l l } & d f & \text { SS } & \text { MS } & F & \text { Signiff } \\ \text { Regression } & & 3605.7736 & 901.4434 & & 0.0001 \\ \text { Residual } & & 1214.2264 & 26.9828 & & \\ \text { Total } & 49 & 4820.0000 & & & \\ & & & & & \\ & \text { Coeff } & \text { StdError } & t \text { Stat } & p \text { value } & \\ \text { Intercept } & - 1.6335 & 5.8078 & - 0.281 & 0.7798 & \\ \text { Income } & 0.4485 & 0.1137 & 3.9545 & 0.0003 & \\ \text { Size } & 4.2615 & 0.8062 & 5.286 & 0.0001 & \\ \text { School } & - 0.6517 & 0.4319 & - 1.509 & 0.1383 & \end{array}$ Note: Adj. R Square = Adjusted R Square; Std. Error = Standard Error
-Referring to Instruction 13.16,what is the value of the calculated F test statistic that is missing from the output for testing whether the whole regression model is significant?

• A) 0.0001
• B) 0.726
• C) 33.408
• D) 0.0299

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Definitions:

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A self-fulfilling prophecy is a belief or expectation that influences behavior in a way that causes the belief to become true.

Directive Leadership

A leadership style characterized by giving direct orders and instructions, with a clear line of authority and control.

External Locus of Control

The belief that one's outcomes in life are determined by external forces or events outside their control, as opposed to being the result of their own actions (internal locus of control).

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A leadership theory that emphasizes the leader's role in guiding and motivating followers to achieve set goals by clarifying the path to these goals.