In the following scenario, which of the following statements is the correct inte

Question

In the following scenario, which of the following statements is the correct interpretation of the mental aptitude regression coefficient? 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) 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. O 1 If we increase mental aptitude by one unit, holding the predictor variables constant, units of work completed will increase by an average of 2.0 O2) If we increase units of work completed by one unit, holding the other predictor variables constant, the mental aptitude If we increase mental aptitude by one unit, holding the other predictor variables constant, units of work completed will 4) If we increase mental aptitude by one unit, holding the other predictor variables constant, units of work completed will score will increase by an average of 2.0 O 3) increase by an average of.6. decrease by an average of.6. 0 5) If we increase mental aptitude by one unit, units of work completed will increase by an average of 2.0.

Explanation / Answer

Answer is option 1. is we increase mental aptitute by one unit, holding the predictor variables constant, units of work completed will increase by an average of 2.0

Because, the coefficient of X3 ( mental aptitute ) in the regression equation is 2.0 .This implies one unit change in X3 will cause the change in Y by 2.0 units , keeping the other predictors unchanged.

If the other predictors changes then Y will be impacted by the overal changes of the predictors. Then it will not increase by 2.0 units .

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.