Question: The relation between the sign of the correlation coefficient(r) and the sign of the slope(b) of the regression line is
A ) when r is positive, b is also positive and when r is negative, b is also negative B ) when r is positive, b is negative and when r is negative, b is positive C ) when r is positive or negative, b is positive D ) when r is positive or negative, b is negative
Steps to derive
1 The correlation between the sign of the correlation coefficient and the sign of the slope of the regression line is such that, when r is positive, b is also positive, when r is negative, b is also negative.
2 Therefore, if r is positive, b is positive and if r is negative, b is negative.