ICANManagement InformationCost Classification and Behaviour2020

Ikeja Electronics Limited applies regression analysis to estimate its total overhead costs. The regression equation derived is $y = 4{,}500{,}000 + 620x$, where $y$ is total monthly overhead cost in Naira and $x$ is machine hours. The coefficient of determination ($R^2$) is 0.91. At 3,500 machine hours, what is the estimated total overhead cost, and what does $R^2 = 0.91$ indicate?

A₦6,670,000; 91% of the variation in overhead cost is explained by machine hoursCORRECT
B₦6,670,000; machine hours cause 91% of overhead costs
C₦2,170,000; 91% of overhead costs are fixed
D₦6,120,000; the regression line passes through 91% of data points
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Estimated overhead = ₦4,500,000 + (620 × 3,500) = ₦4,500,000 + ₦2,170,000 = ₦6,670,000. An $R^2$ of 0.91 means that 91% of the variability in total overhead cost is statistically explained by changes in machine hours, indicating a strong linear relationship. It does not imply causation, nor does it mean 91% of costs are fixed.
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