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

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Essay

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 decided to construct a 95% confidence interval for ?1. The confidence interval is from _____ to _____.


Definitions:

Consumer Surplus

The discrepancy between the aggregate amount consumers can and will pay for a product or service and the actual amount they pay.

Total Utility

The total satisfaction or benefit received by consuming a given total quantity of a good or service.

Marginal Utility

The additional utility derived from consuming one more unit of some good or service.

Consumer Surplus

The difference between the amount consumers are willing to pay for a good or service versus what they actually pay.

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