43 44 Each Worker At An Assembly Plant That Produces Clock Radios Is Responsible For The Entire Assembly Of Each Unit 1 (106.21 KiB) Viewed 43 times
[43-44] Each worker at an assembly plant that produces clock radios is responsible for the entire assembly of each unit they work on. The plant manager has collected data from a sample of workers: the number of years (YRS) of experience at the plant, and the number of hours per unit (TIME) required for assembly. The scatterplot of TIME versus YRS is shown below. 20 18 0 1 2 3 4 YRS Estimated Hours/unit = 13.676-3.776. Years -².769 Se = 1.824 43. Which of the following is an appropriate reason why a regression line should not be used to make predictions based on the data? (a) The magnitude of the slope of the line is too large (b) The intercept of the fitted line has no practical interpretation in this context (c) The linear condition for simple regression does not appear to be met (d) The associate between TIME and YRS is negative TIME 0
44. The manager has decided to transform the response variable from TIME (hours/unit) to 1/TIME (units/hour). The scatterplot of 1/TIME versus YRS is shown below. 0.4 0.35 4 0.3 0.25 0.2 0.15 0.1 0.05 0 0 2 3 YRS Estimated Units/hour = .015+.096 Years ² = .897 $₂ = .029 Which of the following is an appropriate interpretation of these results? (a) The unit on se is hours per unit (b) More experienced workers are predicted to produce more units per hour on average than less experienced workers (c) Because the transformed model has a higher R², it is better. The slope measures the elasticity between 1/TIME and YRS (d) 1/TIME 4
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