The McGraw Company Is Accumulating Data to Be Used in Preparing

question 51

Multiple Choice

The McGraw Company is accumulating data to be used in preparing its annual profit plan for the coming year. The cost behavior pattern of the maintenance costs must be determined. The accounting staff has suggested that linear regression be employed to derive an equation in the form of y = a + bx for maintenance costs. Data regarding the maintenance hours and costs for last year and the results of the regression analysis are as follows: (CMA adapted) $$\begin{array} { l r c } & \begin{array} { c } \text { Hours of } \\\text { Activity }\end{array} & \begin{array} { c } \text { Maintenance } \\\text { Costs }\end{array} \\\text { January } & 480 & \$ 4,200 \\\text { February } & 320 & 3,000 \\ \text { March } & 400 & 3,600 \\\text { April }& 300 & 2,820 \\\text { May } & 500 & 4,350 \\\text { June }& 310 & 2,960 \\\text { July } & 320 & 3,030 \\\text { August } & 520 & 4,470 \\\text { September } & 490 & 4,260 \\\text { October } & 470 & 4,050 \\\text { November } & 350 & 3,300 \\\text { December }& 340 & 3,160 \\ \text { Sum } & 4,800 & \$ 3,200 \\ \text { Average }& 400 & 3,600 \\\text { A coefficient } & & 684.65 \\\text { B coefficient } & & 7.2884 \\\text { Standard error of the a coefficient } & 49.515 & \\\text { Standard error of the b coefficient } & 0.12126 & \\\text { Standard error of the estimate } & & 34.469 \\\mathrm { R } ^ { 2 } & & 0.99724 \\\text { T-value a } & & 13.827 \\\text { T-value b } & & 60.105\end{array}$$
-What would be the cost equation if regression analysis is used?

• A) Maintenance Costs = $7.2884 + ($684.65 × Hours of Activity).
• B) Maintenance Costs = $684.65 + ($49.515 × Hours of Activity).
• C) Maintenance Costs = $684.65 + ($7.2884 × Hours of Activity).
• D) Maintenance Costs = $34.469 + ($0.99724 × Hours of Activity).

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Definitions:

Bottom-Up Processing

A type of information processing that begins with sensory input and builds up to the formation of perception in the brain.

Perceptual Adaptation

The ability of the body to adjust to an environment by filtering out distractions.

Ponzo Illusion

A visual illusion where parallel lines seem to converge, affecting the perceived size of objects within those lines.

ESP

Extrasensory perception, a claimed ability to gain information through means other than the known human senses.