Question

The slope of a regression line and the correlation are similar in the sense that:___.

a. they both have the same sign.
b. they do not depend on the units of measurement of the data.
c. they both fall between -1 and 1 inclusive.
d. neither of them can be affected by outliers.
e. both can be used for prediction.

Answer 1

c. they both fall between -1 and 1 inclusive.

Answer 2

a. The similarity between the slope of a regression line and correlation is that they both have the same sign, meaning they both indicate the direction of the relationship between the two variables.

Step-by-step explanation:

The slope of a regression line and the correlation are similar in the sense that they both have the same sign. This is because the sign of a correlation coefficient, typically represented by the letter r, indicates the direction of the relationship between two variables.

A positive r value suggests that as one variable increases, the other variable also increases, which corresponds to a positive slope in the regression line.

Conversely, a negative r value suggests that as one variable increases, the other decreases, corresponding to a negative slope of the regression line. Therefore, the correct answer to the question is a. they both have the same sign.