Question: Cost estimation. Hankuk Electronics started production on a sophisticated new smartphone running the Android operating system in January 2020. Given the razor-thin margins in the

Cost estimation. Hankuk Electronics started production on a sophisticated new smartphone running the Android operating system in January 2020. Given the razor-thin margins in the consumer electronics industry, Hankuks success depends heavily on being able to produce the phone as economically as possible.

At the end of the first year of production, Hankuks controller, Inbee Kim, gathered data on its monthly levels of output, as well as monthly consumption of direct labor-hours (DLH). Inbee views labor-hours as the key driver of Hankuks direct and overhead costs. The information collected by Inbee is provided below:

Month Output (Units) Direct Labor-Hours
January 684 1,400
February 492 820
March 660 875
April 504 670
May 612 760
June 636 765
July 648 735
August 600 660
September 648 695
October 696 710
November 672 690
December 675 700

Inbee is keen to examine the relationship between direct labor consumption and output levels. She decides to estimate this relationship using a simple linear regression based on the monthly data. Verify that the following is the result obtained by Inbee:

Regression 1: Direct labor-hours=a+(bOutput units)

Variable Coefficient Standard Error t-Value
Constant 345.24 589.07 0.59
Independent variable: Output units 0.71 0.93 0.76
r2=0.054; Durbin-Watson statistic=0.50

Plot the data and regression line for the above estimation. Evaluate the regression using the criteria of economic plausibility, goodness of fit, and slope of the regression line.

Inbee estimates that Hankuk has a variable cost of $17.50 per direct labor-hour. She expects that Hankuk will produce 650 units in the next month, January 2021. What should she budget as the expected variable cost? How confident is she of her estimate?

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