probability and statistics

Question

If the coefficient of determination for a data set containing 12 points is 0.5, 6 of the data points must lie on the regression line for the data set. A.True B.False

Answer 1

Hello Aryn, thank you for your question!

This one would be False … the coefficient of determination being 0.5 means that 50% of the variance in the data is explained by the underlying regression line. But it doesn’t tell you anything about where the data points themselves would be expected to lie.

I hope that helps! Let me know if you have any other questions beyond that :)