Question

Complete the following sentence. The coefficient of determination between the dependent variable, TEST SCORE, and the independent variable, HOURS SPENT STUDYING, equals 043. This means that:_________.

a. variation in the variable, HOURS SPENT STUDYING explains 43% of the variation in the variable. TEST SCORE
b. variation in the variable, TEST SCORE, explains 43% of the variation in the variable, HOURS SPENT STUDYING
c. the correlation between HOURS SPENT STUDYING and TEST SCORE equals 0.43
d. the correlation between HOURS SPENT STUDYING and TEST SCORE equals 0.57,

Answer 1

Answer: a. variation in the variable, HOURS SPENT STUDYING explains 43% of the variation in the variable. TEST SCORE

Explanation:

The coefficient of determination is denoted by R square is the proportion of the variance in the dependent variable that is predictable from the independent variable.

Given: dependent variable = TEST SCORE

independent variable = HOURS SPENT STUDYING

coefficient of determination = 0.43

That means variation in the variable, HOURS SPENT STUDYING explains 43% of the variation in the variable. TEST SCORE.

Hence, the correct option is a.