Question

In a simple linear regression analysis, the correlation coefficient ( ) and the slope (m) _____ have the same sign. a. always b. sometimes c. never

Answer 1

Answer:

a. always

Step-by-step explanation:

In a simple linear regression, the slope measures the steepness of the linear relationship between the two variables, it ranges from (-∞ to +∞ ) while the correlation coefficient measures the tightness of the linear relationship between the two variables, it ranges from (-1 to +1 ).

So the correlation coefficient and the slope will always have the same sign though their values might differ.