Instruction 12 $\text { Regression statistics }$ $\text { ANOVA }$

question 90

Multiple Choice

Instruction 12.23
The managing partner of an advertising agency believes that his company's sales are related to the industry sales. He uses Microsoft Excel's Data Analysis tool to analyse the last four years of quarterly data with the following results:
$\text { Regression statistics }$
$\begin{array}{|l|l|}\hline \text { Multiple R } & 0.802 \\\hline \text { R Square } & 0.643 \\\hline \begin{array}{l}\text { Adjusted R } \\\text { Square }\end{array} & 0.618 \\\hline \begin{array}{l}\text { Standard Error } \\\text { SYX }\end{array} & 0.9224 \\\hline \text { Observations } & 16 \\\hline\end{array}$

$\text { ANOVA }$
$\begin{array}{|l|l|l|l|l|l|}\hline & \text { df } & \text { SS } & \text { MS } & \text { F } & \text { Sig.F } \\\hline \text { Regression } & 1 & 21.497 & 21.497 & 25.27 & 0.000 \\\hline \text { Error } & 14 & 11.912 & 0.851 & & \\\hline \text { Total } & 15 & 33.409 & & & \\\hline\end{array}$

$\begin{array}{|l|l|l|l|l|}\hline\text { Predictor } & \text { Coef } & \text { StdError } & \text { t Stat } & \text { p-value } \\\hline \text { Intercept } & 3.962 & 1.440 & 2.75 & 0.016 \\\hline \text { Industry } & 0.040451 & 0.008048 & 5.03 & 0.000\\\hline\end{array}$


$\begin{array}{|l|l|}\hline\text { Durbin-Watson } & 1.59 \\\text { Statistic } &\\\hline\end{array}$

-Referring to Instruction 12.23,if the Durbin-Watson statistic has a value close to 0,which assumption is violated?

• A) Independence of errors
• B) Normality of the errors
• C) Homoscedasticity
• D) None of the above

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