Question

Assume the coefficient of determination r²=0.3. What is the percentage of variation in the response variable (y) explained by its relationship with the explanatory (x) variable?

a) 0.3%
b) 0.09%
c) 30%
d) 9%

Answer 1

The coefficient of determination r² represents the percentage of variation in y explained by its relationship with x. In this case, r²=0.3, so 30% of the variation in y can be explained by x.

Step-by-step explanation:

The coefficient of determination, denoted as r², represents the percentage of variation in the response variable (y) explained by its relationship with the explanatory variable (x) using the regression line.

In this case, since r² = 0.3, it means that 30% of the variation in y can be explained by the variation in x using the regression line.

Therefore, the correct answer is option c) 30%.