Using your favorite statistics software package, you generate a scatter plot with a regression equation.

Question

Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as y=-91.75⁢x+82.09and the r=-0.54.

What proportion of the variation in y can be explained by the variation in the values of x?

Report the answer as a percentage accurate to one decimal place.

r² = %

Answer 1

to find r², take "r" and square it.

Since r = - 0.54, then r² = (-0.54)² = 0.2916 which means that 29.2% of the variation in "y" can be explained by the variation in the values of "x".