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23.06.2020 •
Mathematics
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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Ответ:
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
Ответ:
the ride was 24 km long.
Step-by-step explanation:
Let us suppose the ride was x km long.
Now, it has been given that Cyclist were 3/4 finished with their ride when they reached the 18 kilometer mark.
It means we have the equation
Multiply both sides by 4
Now, divide both sides by 3
Thus, the ride was 24 km long.