The personnel department of a large manufacturing firm selected a random sample of 23 workers. The workers were interviewed and given several tests. On the basis of the test results, the following variables were investigated: X2 = manual dexterity score, X3 = mental aptitude score, and X4 = personnel assessment score. Subsequently, the workers were observed in order to determine the average number of units of work completed (Y) in a given time period for each worker. Regression analysis yielded these results: Y = - 212 + 1.90X2 + 2.00X3 + 0.25X4, R2 =.75. (.050) (.060) (.20) What is the correct estimate for the number of units of work completed by a worker with a manual dexterity score of 100, a mental aptitude score of 80 and a personnel assessment score of 10?

Question

Mathematics

Nelson White

3 September, 15:45

The personnel department of a large manufacturing firm selected a random sample of 23 workers. The workers were interviewed and given several tests. On the basis of the test results, the following variables were investigated: X2 = manual dexterity score, X3 = mental aptitude score, and X4 = personnel assessment score. Subsequently, the workers were observed in order to determine the average number of units of work completed (Y) in a given time period for each worker. Regression analysis yielded these results: Y = - 212 + 1.90X2 + 2.00X3 + 0.25X4, R2 =.75. (.050) (.060) (.20) What is the correct estimate for the number of units of work completed by a worker with a manual dexterity score of 100, a mental aptitude score of 80 and a personnel assessment score of 10?

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Curly · Answer 1

140.5 units of work

Step-by-step explanation:

The number of units of work by a worker is given as:

Y = - 212 + 1.90X2 + 2.00X3 + 0.25X4

X2 = manual dexterity score=100

X3 = mental aptitude score=80

X4 = personnel assessment=10

Substituting these value for X2, X3 and X4 we have:

Y = - 212 + 1.90 (100) + 2.00 (80) + 0.25 (10)

Y = -212 + 190 + 160 + 2.5 = 140.5 units of work