If the total variation in y values is 200, and the variation explained by regression line is 180, then the coefficient of determination is equal to __________.
A) 1.11
B) 0.90
C) 0.81
D) 1.21
I picked D 1.21
I'll give you a hint:
Coefficient of Determination is explained variation divided by total variation (which is the correlation coefficient squared).
I'll let you take it from there.
Thanks again MathGuru
To find the coefficient of determination, also known as R-squared, you need to divide the variation explained by the regression line by the total variation in the y values.
In this case, the variation explained by the regression line is given as 180, and the total variation in the y values is given as 200.
To find the coefficient of determination, you would use the formula:
coefficient of determination = (variation explained by regression line) / (total variation in y values)
So, the coefficient of determination would be:
coefficient of determination = 180 / 200
Simplifying this expression, we get:
coefficient of determination = 0.9
Therefore, the correct answer is B) 0.90, not D) 1.21.