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

question 223

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Instruction 13.27
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 13.27,one individual in the sample had an annual income of $100,000,a family size of 10 and an education of 16 years.This individual owned a home with an area of 7,000 square metre (House = 70.00) .What is the residual (in hundreds of square metre) for this data point?

Comprehend the various modes and phases of action research and photo research.
Recognize techniques to engage and inform stakeholders during research.
Understand how to gather and analyze information in participant action research.
Understand the role of collaboration, reflection, participation, and the importance of avoiding independence in action research.

Definitions:

Gross Earnings

The total amount of revenue or income earned by an individual or business before any deductions or taxes are applied.

Net Pay

The amount of money an employee takes home after deductions like taxes and retirement contributions have been subtracted.

FICA Tax

A mandatory tax used to fund the United States Social Security and Medicare programs, deducted from the wages of employees.

Federal Income Tax

A tax levied by the federal government on the annual earnings of individuals, corporations, trusts, and other legal entities.

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