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

question 95

Multiple Choice

Instruction 13.30
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
 Multiple R 0.865 R Square 0.748 Adj. R Square 0.726 Std. Error 5.195 Observations 50\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
df SS  MS F Signiff  Regression 3605.7736901.44340.0001 Residual 1214.226426.9828 Total 494820.0000 Coeff  StdError t Stat p value  Intercept 1.63355.80780.2810.7798 Income 0.44850.11373.95450.0003 Size 4.26150.80625.2860.0001 School 0.65170.43191.5090.1383\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 13.30,which of the independent variables in the model are significant at the 5% level?

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Definitions:

Personal Power

The influence or authority a person has over others due to their skills, qualities, or personal attributes, rather than their formal position.

Affiliation

The connection or relation of a person or organization to another or others, often indicating a relationship of membership.

Influence Tactics

Methods or strategies used by individuals or groups to affect the decisions, behaviors, and opinions of others.

Power Bases

The sources from which individuals or groups derive their ability to influence others, including factors like expertise, relationships, authority, or access to resources.

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