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When potential workers apply for a job that requires extensive manual assembly

Question # 00004424
Subject: Mathematics
Due on: 12/03/2013
Posted On: 12/02/2013 10:59 PM

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When potential workers apply for a job that requires extensive manual assembly of small intricate parts, they are initially given three different tests to measure their manual dexterity. The ones who are hired are then periodically given a performance rating on a 0 to 100 scale that combines their speed and accuracy in performing the required assembly operations. The file P14_47.xlsx lists the test scores and performance ratings for a randomly selected group of employees. It also lists their seniority (months with the company) at the time of the performance rating. a. Run the regression of Performance Rating versus all four explanatory variables. List the equation, the R-square value, and the standard error of estimate. Do all of the regression coefficients have the signs you would expect? Briefly explain. b. Referring to the equation in part a, if a worker (outside of the 80 in the sample) has 15 months of seniority and test scores of 57, 71, and 63, give a prediction and an approximate 95% prediction interval for this worker's Performance Rating score. c. Arguably, the three test measures provide overlapping (redundant) information. It might be sensible to regress Performance Rating versus only two explanatory variables, Seniority and Average Test, where Average Test is the average of the three test scores, that is, Average Test = (Test1 + Test2 + Test3)/3. Run this regression and report the same measures as in part a: the equation itself, R-square, and the standard error of estimate. Can you argue that this equation is just as good as the equation in part a ? Explain briefly.

Tags manual aembly extensive requires workers apply potential test performance equation rating average regreion seniority scores error workers rsquare measures standard explain briefly lists explanatory variables aembly versus given manual estimate prediction months coefficients signs expect referring interval

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When potential workers apply for a job that requires extensive manual assembly

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Tutorial Preview …-5 xxxxxx 18 xxxx 1 05971 x 292677 No xxxxxxxxx 0 xxxxxx x 154893 x 492451 1 xxxxxx 5 171411 x 000002 xxx xxxxx 0 xxxxxx 0 111578 x 078181 0 xxxxxx 2 xxxxxx x 008736 xxx Test2…
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When_potential_workers_apply_for_a_job_that_requires_extensive_manual_assembly.xlsx (21.66 KB)
Preview: as xx part xx the equation xxxxxxx R-square, and xxx standard xxxxx xx estimate xxx you argue xxxx this equation xxxxxx as xxxx xx the xxxxxxxx in part xx Explain briefly xxxxxxxxxxx RatingAverage xxxxxxx xxxx with xxx test scores xxxxxxxx is shown xx the xxxxx xxxxx the xxxxxxxx data The xxxxxxx of the xxxxxxxxxx are xxxxx xxxxxxxxxxxxxxxxx Rating x 5 4070 x 0 8211 x Seniority x x 7820 x Average TestThe xxxxxxxxxx equation is xxxxxxxxxxx Rating.....
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