A company studying the productivity of their employees on a new information syst
ID: 3134254 • Letter: A
Question
A company studying the productivity of their employees on a new information system was interested in determining if the age (X) of data entry operators influenced the number of completed entries made per hour (Y). The regression equation is yˆ =14.374 - 0.145x . If sx=14.04 and sy=2.61, then the correlation coefficient between age and productivity is:
A. .779 B. -.236 C. .575 D. -.929 E. -.779
Can you show me how this is done and the correct answer so I can do it myself so I can learn it?
Explanation / Answer
A company studying the productivity of their employees on a new information system was interested in determining if the age (X) of data entry operators influenced the number of completed entries made per hour (Y). The regression equation is yˆ =14.374 - 0.145x . If sx=14.04 and sy=2.61, then the correlation coefficient between age and productivity is:
A. .779 B. -.236 C. .575 D. -.929 E. -.779
Answer : E. -.779
Can you show me how this is done and the correct answer so I can do it myself so I can learn it?
The regression equation is yˆ =14.374 - 0.145x
b = -0.145
Regression coefficient b = r*sy/sx
-0.145 = r*2.61/14.04
r=14.04*(-0.145)/2.61
= -0.78
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