Understand the relationship between the correlation and the regression line.
-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

Question

Quizplus · Accepted Answer

The slope of the regression line is negative (-0.145), indicating a negative correlation. The correlation coefficient can be calculated using the formula: r = b * (sx/sy), where b is the slope. Substituting the given values, r = -0.145 * (14.04/2.61) ≈ -0.779.

Understand the Relationship Between the Correlation and the Regression Line