If Janice Position-Classification, personnel officer for the Bureau of Forms, ca

Question

If Janice Position-Classification, personnel officer for the Bureau of Forms, can forecast agency separations 6 months from now, she can plan recruitment efforts to replace these people. Janice believes that separations 6 months from now are determined by the number of agency people passed over for promotion (X1), the number of agency people 64 years old or older (X2), and the ratio of government salaries to private sector salaries (X3). Using regression, Janice finds the following:

Y^ = 27.4 + .35X1 + .54X2 - 271X3

sb1 = .0031 sb2 = 0.136 sb3 = 263 Sy|x = 54

R2 = .89 Adj. R2 = .85 N = 214

Write a one-page memo explaining the results, and then forecast the number of separations if 418 people are passed over for promotion, 327 people are 64 years old or older, and government salaries equal those in the private sector.

Explanation / Answer

Coeefcient of X1 = 0.35. means for every one unit change in X1, Y will increase by 0.35 units, keeping other constant.

Coeefcient of X1 = 0.35. means for every one unit change in X1, Y will increase by 0.35 units, keeping other constant.

Coeefcient of X2 = 0.54. means for every one unit change in X2, Y will increase by 0.54 units, keeping other constant.

Coeefcient of X3 = -271. means for every one unit change in X2, Y will decrese by 271 units, keeping other constant.

R square = 0.89. means 89% of the variance in dependable variable can be explained by the variance in independent variable.

For X1 = 418, X2 = 327, X3 = 1

Y = 27.4 + .35*418 + .54*327 - 271*1 = 79.28

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