Which of the following is a property of the slope,b₁? A)The slope equals one if X and Y have the same variance. B)The slope has the same sign as r,the coefficient of correlation. C)The slope equals one if r equals one. D)All of these choices are true.

Question

Quizplus · Accepted Answer

The slope (b) of the regression line has the same sign as the coefficient of correlation (r), which means that if r is positive, the slope is also positive, and if r is negative, the slope is also negative. The other options are not always true: A) the slope equals the ratio of the standard deviations of Y and X, not their variances; C) the slope equals the correlation coefficient only if both the standard deviation of Y and the standard deviation of X are equal to 1.

Which of the Following Is a Property of the Slope,b1

Which of the Following Is a Property of the Slope,b₁