Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

If SSR=23 and SST = 92, compute the coefficient of determination, r, and interpr

ID: 3051601 • Letter: I

Question

If SSR=23 and SST = 92, compute the coefficient of determination, r, and interpret its meaning. r = L(Type an integer or a decimal) What is the meaning of 122 0 A. ? of the variation in the independent variable can be explained by the vanation in the dependent van O B. . 100% of the variation in the dependent variable can be explained by the vanation in the independe O e. (1- .100% of the variation in the independent variable cannot be explained by the variation in the d O D 1-r2 o the variation in the dependent variable cannot be explained by the variation in the independent va Click to select your answer(s)

Explanation / Answer

Given:-

SSR = 23 and SST = 92 ,Now to find a coefficient of determination r2

r2 = SSR / SST = (23 / 92) = 0.25

Meaning of r2 :- Option "B" is correct.

r2 * 100 of the variation in the dependent variable can be explained by the variation in the independent varibale.

( i.e r2 is the proportion of the variance in the dependent variable that is predictable from the independent variable. )