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

question 4

Short Answer

Instruction 12.30
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 12.30,the value of the quantity that the least squares regression line minimises is____________.

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