A personnel psychologist studying adjustment to the job of new employees found t

Question

A personnel psychologist studying adjustment to the job of new employees found that employees' amount of education (in number of years) predicts ratings by job supervisors two months later. the regression constant in the linear prediction rule for predicting job ratings from education is 0.5 and the regression coefficient is .40. (a) Indicate the predictor variable (b) Indicate the criterion variable (c) Write the linear predication rule for this example (d) Indicate the predicted job rating for employees with each of the following amount of education (in years): (i) 8 (ii) 10 (iii) 17 (iv) 19 (v) 21

Explanation / Answer

Part a

The predictor variable for the given scenario is employees’ amount of education in number of years.

Part b

The criterion variable for the given scenario is rating by job supervisors two months later.

Part c

The linear prediction rule or the regression equation for this example is given as below:

Y = 0.5 + 0.40*X

Rating = 0.5 + 0.40*Years of education

Part d

Here, we have to predict the ratings for the following amount of education in years.

We have

Rating = 0.5 + 0.40*Years of education

i)

Years of education = 8

Rating = 0.5 + 0.40*8 = 3.7

Rating = 3.7

ii)

Years of education = 10

Rating = 0.5 + 0.40*10 = 4.5

Rating = 4.5

iii)

Years of education = 17

Rating = 0.5 + 0.40*17 = 7.3

Rating = 7.3

iv)

Years of education = 19

Rating = 0.5 + 0.40*19 = 8.1

Rating = 8.1

v)

Years of education = 21

Rating = 0.5 + 0.40*21= 8.9

Rating = 8.9

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