Question
Hankuk Electronics started production on a sophisticated new smartphone running the Android operating system in January 20X1. Given the razor-thin margins in the consumer electronics
Hankuk Electronics started production on a sophisticated new smartphone running the Android operating system in January 20X1. 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 | 1400 |
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 |
Required:
1. 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. Present the regression result with direct labor consumption as the dependent variable and output levels as the independent variable.
2. Plot the data and regression line for the above estimation. Evaluate the regression using the criteria of economic plausibility, goodness of fit, and significance of the slope of the regression line.
3. 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 20X2. What should she budget as the expected variable cost? How confident is she of her estimate?
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