Question

Linear Regression Equation:

What is the Correlation Coefficient?
a) The correlation coefficient measures the strength and direction of a linear relationship between two variables.
b) The correlation coefficient is a measure of central tendency.
c) The correlation coefficient is used in exponential growth calculations.
d) The correlation coefficient represents the standard error of the regression.

Answer 1

The correlation coefficient measures the strength and direction of a linear relationship between two variables.

Step-by-step explanation:

The correlation coefficient, r, measures the strength and direction of the linear relationship between two variables. It is a numeric value between -1 and +1. When r is positive, the variables tend to increase or decrease together. When r is negative, one variable increases while the other decreases, or vice versa. The coefficient of determination, r2, represents the percentage of variation in the dependent variable that can be explained by the independent variable using the regression line.