The Regression Output for Sales and Number of Salespeople Are

question 24

Multiple Choice

The regression output for sales and number of salespeople are shown below. Model summary
$$\begin{array} { | l | c | r | r | r | } \hline \text { Model } & \boldsymbol { R } & \boldsymbol { R } \text {-square } & \begin{array} { c } \text { Adjusted } \\\boldsymbol { R } \text {-square }\end{array} & \begin{array} { r } \text { Std. error of } \\\text { the estimate }\end{array} \\\hline 1 & .746 ( \mathrm { a } ) & .556 & .541 & 46.873 \\\hline\end{array}$$ a Predictors: (Constant) , number of salespeople
ANOVA(b)
$$\begin{array} { | l | l | r | r | r | r | r | } \hline \text { Model } & & \begin{array} { c } \text { Sum of } \\\text { Squares }\end{array} & { \boldsymbol {d f } } & \text { Mean square } & \boldsymbol { F } & { \text { Sig. } } \\\hline 1 & \text { Regression } & 77152.238 & 1 & 77152.238 & 35.117 & .000 ( \mathrm { a } ) \\\hline & \text { Residual } & 61516.962 & 28 & 2197.034 & & \\\hline & \text { Total } & 138669.200 & 29 & & & \\\hline\end{array}$$ a Predictors: (Constant) , number of salespeople
B Dependent Variable: Sales (A$'000)
Coefficients(a)
$$\begin{array} { | l | l | cr | r | r | r |} \hline\text { Model } & & { \begin{array} { c } \text { Unstandardised } \\\text { coefficients }\end{array} } && \begin{array} { c } \text { Standardised } \\\text { coefficients }\end{array} & { \boldsymbol { t } } & { \text { Sig. } } \\\hline & & \boldsymbol { B } & \text { Std. Error } & \text { Beta } & & \\\hline 1 & \text { (Constant) } & 72.612 & 9.203 & & 2.565 & .013 \\\hline & \text { Number of salespeople } & 35.623 & 3.296 & .201 & 5.926 & .064 \\\hline\end{array}$$ a Dependent variable: Sales (A$'000)
The above shows that for every one-unit increase in number of salespeople, average sales will increase by approximately:

• A) 36 units.
• B) 73 units.
• C) 75 units.
• D) 108 units.

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Definitions:

Marginal Benefits

The supplementary enjoyment or usefulness gained by consuming or producing another unit of a good or service.

Economic Grounds

The basis for decisions or actions taken to improve financial conditions or stability.

Cost-Benefit Analysis

A methodical strategy for assessing the advantages and disadvantages of various options to identify the most effective method for realizing benefits while conserving resources.

Marginal Cost

The extra cost incurred by producing one more unit of a product or service.