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

question 132

True/False

Instruction 13.36
The Head of the Accounting Department wanted to see if she could predict the average grade of students using the number of course units (credits) and total university entrance exam scores of each. She takes a sample of students and generates the following Microsoft Excel output:
OUTPUT
SUMMARY
$\begin{array} { l l } \text { Regression Statistics } & \\ \text { MultipleR } & 0.916 \\ \text { R Square } & 0.839 \\ \text { Adj. R Square } & 0.732 \\ \text { Std. Error } & 0.24685 \\ \text { Observations } & 6 \end{array}$

ANOVA
$\begin{array} { l l l l l l } & d f & \text { SS } & \text { MS } & F & \text { Signif F } \\ \text { Regression } & 2 & 0.95219 & 0.47610 & 7.813 & 0.0646 \\ \text { Residual } & 3 & 0.18281 & 0.06094 & & \\ \text { Total } & 5 & 1.13500 & & & \\ & & & & & \\ & \text { Coeff } & \text { StdError } & t \text { Stat } & p \text { value } & \\ \text { Intercept } & 4.593897 & 1.13374542 & 4.052 & 0.0271 & \\ \text { GDP } & - 0.247270 & 0.06268485 & - 3.945 & 0.0290 & \\ \text { Price } & 0.001443 & 0.00101241 & 1.425 & 0.2494 & \end{array}$ Note: Adj. R Square = Adjusted R Square; Std. Error = Standard Error
-Referring to Instruction 13.36,the Head of Department wants to use a t test to test for the significance of the coefficient of X₁.At a level of significance of 0.05,the department head would decide that ?₁ ? 0.

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Definitions:

After-Tax Lorenz Curve

A graphical representation that shows the distribution of income or wealth within an economy after accounting for taxes.

Before-Tax Lorenz Curve

A graphical representation that shows the distribution of income or wealth among individuals or households before taxes are applied.

Lorenz Curve

A graphical representation of income or wealth distribution within a society, showing the proportion of overall income earned by cumulative percentages of the population.

Income Inequality

The imbalanced dispersion of income across various economic participants, including individuals and households.