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

question 102

Short Answer

Instruction 13.23
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
$\begin{array} { l l l l l l } & d f & \text { SS } & \text { MS } & F & \text { Signiff } \\ \text { Regression } & 2 & 0.95219 & 0.47610 & 7.813 & 0.0646 \\ \text { Residual } & 3 & 0.18281 & 0.06094 & & \\ \text { Total } & 5 & 1.13500 & & & \\ & & & & & \\ & \text { Coeff } & \text { StdError } & t \text { Stat } & p \text { value } & \\ \text { Intercept } & 4.593897 & 1.13374542 & 4.052 & 0.0271 & \\ \text { GDP } & - 0.247270 & 0.06268485 & - 3.945 & 0.0290 & \\ \text { Price } & 0.001443 & 0.00101241 & 1.425 & 0.2494 & \end{array}$ Note: Adj. R Square = Adjusted R Square; Std. Error = Standard Error
-Referring to Instruction 13.23,the Head of Department wants to use a t test to test for the significance of the coefficient of X₁.For a level of significance of 0.05,the critical values of the test are _____.

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Definitions:

Internal Validity

Refers to how well a study is conducted, specifically whether it establishes a causal relationship between variables.

Causal Relationship

A connection between variables where a change in one directly influences the change in another.

Length Of Test

The duration or number of items that constitute a test, influencing factors such as assessment fatigue and comprehensiveness of evaluation.

Horizontal Axis

In a graph or chart, the x-axis running left to right and typically used to represent the independent variable or time period.