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Instruction 13-14
the Head of the Accounting Department Wanted to See

question 182

True/False

Instruction 13-14
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
 Multiple R 0.916 R Square 0.839 Adj. R Square 0.732 Std. Error 0.24685 Observations 6 \begin{array}{ll}\text { Multiple R } & 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  Siguif F  Regression 20.952190.476107.8130.0646 Residual 30.182810.06094 Total 51.13500\begin{array}{llllll} & \text { df } & \text { SS } & \text { MS } & \text { F } & \text { Siguif F } \\\text { Regression } & 2 & 0.95219 & 0.47610 & 7.813 & 0.0646 \\\text { Residual } & 3 & 0.18281 & 0.06094 & & \\\text { Total } & 5 & 1.13500 & & &\end{array}

 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}{lllll} & \text { Coeff } & \text { StDError } & \boldsymbol{t} \text { Stat } & \text { P-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 13-14,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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