Question

Apsychologist employed at a large engineering company is asked to investigate the relationship between job satisfaction and productivity (x1) and perseverance X21. Higher scores indicate greater levels of these constructs. Data are collected from 100 employees and summarized as follows: PROD PERS JOBM Mean SD PROD .23 .77 8.60 1.40 PERS .67 7.30 1.70 JOB 20.50 5.30 Step Variable entered R R SE Partial's 0 5.30 1 5.21 2 85 72 4.98 a. In a stepwise multiple regression, what variable would be entered at step 1, and why? b. The partial for the remaining variable is 64 and is significant. Explain to me what this means. Would you proceed with Step 2? c. The multiple Rand R2 st step 2 have been provided to you. Explain what each of these values are telling us d. Why are the SE values decreasing at each step?

Answer 1

from the given duta a The variable with maximum correlation withy' will be entered first because it will be able to explain maximum variability possible in y i productivity will be entered first asitas aga correlation. by It means that the perseverance has correlation with & in presence of productivity - 0.67 and in absenge q x of the correlation of x alone with Y 13 0.64. It means that the variables x, & X₂ negligibly correlated and explain different variabilities in Y and both important and we will include in signisitant. an step 2. an model io co R is the multiple correlation of y with &, and a 0.85 in & and to increase y increases. Rosq oit ie & , &x, together 42% variability any. d) The SE on standard error is the residual or unexplained variation that remains in 'y. since we are outling significant variables at each step that are explain some parts of varlable in on explained variabilities coa reduces Each step SE, reduces at each step. Hence