Doroteo determined that the correlation coefficient for a set of data was -.9 what percent of the total variation in the Y values is not explained by the regression line

Answer: 10%

Step-by-step explanation:

(1 - 0.9) * 100 = 10%

With a correlation Coefficient of - 0.9. This signifies a strong negative correlation between the x and y variables. That is an increase in the x variable leads to a corresponding decrease in the y variable and vice versa. The correlation Coefficient could also be interpreted to mean that about 90% of the variation in the y variable is explained by the regression line or equation. With the the remaining 10% being unexplained. This is why a correlation Coefficient of 1 or - 1 refers to a perfect relationship, meaning 100% variation in y is explained by the regression line.