The correlation between x and y may be expressed as: A) r² = 1 - $\frac{\text{variation around y}} {\text{variation around regression}}$ B) r = 1 - $\frac{\text{variation around y}} {\text{variation around regression}}$ C) r² = 1 - $\frac{\text{variation around regression}} {\text{variation around the mean of y}}$ D) r = 1 - $\frac{\text{variation around regression}} {\text{variation around y}}$

Question

Quizplus · Accepted Answer

This is the correct formula for calculating the coefficient of determination (r2), which represents the proportion of variation in y that can be explained by the regression line (i.e., the line of best fit). It is equal to 1 minus the ratio of the sum of squared errors (variation around the regression line) to the total sum of squares (variation around the mean of y).

The Correlation Between X and Y May Be Expressed As variation around yvariation around regression\frac{\text{variation around y}} {\text{variation around regression}}variation around regressionvariation around y​

The Correlation Between X and Y May Be Expressed As $\frac{\text{variation around y}} {\text{variation around regression}}$