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

question 269

True/False

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
 Regression Statistics  MultipleR 0.916 R Square 0.839 Adj. R Square 0.732 Std. Error 0.24685 Observations 6\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
df SS  MS F Signiff  Regression 20.952190.476107.8130.0646 Residual 30.182810.06094 Total 51.13500 Coeff  StdError t Stat p value  Intercept 4.5938971.133745424.0520.0271 GDP 0.2472700.062684853.9450.0290 Price 0.0014430.001012411.4250.2494\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 test H0: ?1 = ?2 = 0.At a level of significance of 0.05,the null hypothesis is rejected.


Definitions:

Expiratory Reserve Volume

The maximum volume of air that can be forcibly exhaled after the completion of a normal, quiet exhalation.

Total Lung Capacity

The maximum amount of air the lungs can hold, including inspiratory and expiratory reserve volumes and the tidal volume.

Capillaries

The smallest blood vessels in the body, which facilitate the exchange of water, oxygen, carbon dioxide, and many other nutrient and waste substances between blood and surrounding tissues.

Alveoli

Clusters of air sacs in which the exchange of gases between air and blood takes place; located in the lungs.

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