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

question 35

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.The value of the test statistic is _____.

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Definitions:

Historical Episode

A significant event or series of events in the past that has a substantial impact on the present or future.

Circular Flow Diagram

A graphical representation depicting the flow of products, services, and financial resources in a cyclical pattern between consumers and businesses within the economy.

Systematic Thinking

An approach to problem-solving that involves breaking down complex issues into their components to understand the relationships and effects systematically.

Basic Medical Tests

Routine examinations or procedures used to assess and ensure an individual's health status, including blood tests, X-rays, and blood pressure measurements.