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
) If s_x=14.04 and s_y=2.61, then the correlation coefficient between age and productivity is ____ .

Question

Quizplus · Accepted Answer

The correlation coefficient (r) can be calculated using the standard deviations of X and Y (sX and sY, respectively) and the regression coefficient (b), with the formula r = b * (sX / sY). Given b = 14.04, sX = 2.61, and assuming sY is not directly given but is implied to be related to the context, the calculation would lead to a negative correlation if the regression coefficient is negative. However, without the direct values of sY and the exact formula application, the closest match to the provided information, considering a negative correlation, is -.779, indicating a moderate inverse relationship between age and productivity.

A Company Studying the Productivity of Their Employees on a New