Question

Which measure tells us the strength of the linear relationship between X and Y? The measure that tells us the strength of the linear relationship between X and Y is "2. Correlation coefficient," often denoted as r. It measures the degree and direction of a linear relationship between two variables.

Answer 1

The correlation coefficient, r, measures the strength of the linear association between x and y. It can be positive or negative, indicating the direction of the relationship. The coefficient of determination, r², represents the percentage of variation in the dependent variable that can be explained by the independent variable.

Step-by-step explanation:

The correlation coefficient, r, measures the strength of the linear association between x and y. The variable r has to be between 1 and +1. When r is positive, x and y tend to increase and decrease together. When r is negative, x increases and y decreases, or the opposite occurs: x decreases and y increases. The coefficient of determination, r², is equal to the square of the correlation coefficient. When expressed as a percentage, r² represents the percentage of variation in the dependent variable, y, that can be explained by variation in the independent variable, x, using the regression line.