Question

Personnel Test

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

Adjusted R2

=

0.75.

(0.50)

(0.060)

(0.20)

Note: The numbers shown in parentheses below the coefficients are the standard errors of the coefficients.

The quantities in parentheses are the standard errors of the regression coefficients. The standard error of the regression is 25, and the standard deviation of the dependent variable is 50.

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? Use the regression estimated, as given, to make this calculation.

rev: 11_07_2018_QC_CS-146857

Multiple Choice

• 150.0

• 154.3

• 140.5

• 105.5

• 138.0

Answer 1

From the given information,

By using calculator,

The required predicted number of units of work is given by,

y^= 140.5

i.e., Third option is correct.

Please help me out by just rating the answer.

Thank you so much.