Asked by Kelvyn almanzar on Jun 02, 2024
Verified
The coefficient of determination measures the amount of:
A) variation in y that is explained by variation in x
B) variation in x that is explained by variation in y
C) variation in y that is unexplained by variation in x
D) variation in x that is unexplained by variation in y
E) all of these
Coefficient Of Determination
A statistical measure that assesses the proportion of the variance in the dependent variable that is predictable from the independent variable(s), commonly represented as R^2.
Variation
The measure of the spread or dispersion of a set of values.
- Learn to evaluate and compute the coefficient of determination accurately.
Verified Answer
TR
Tyler RondenoJun 04, 2024
Final Answer :
A
Explanation :
The coefficient of determination, also known as R-squared, measures the proportion of the variance in the dependent variable (y) that is explained by the independent variable (x). Therefore, option A is the correct choice as it states the variation in y that is explained by the variation in x. Option B is incorrect as the coefficient of determination doesn't measure the variation in x, but rather how much of the variation in y can be accounted for by the variation in x. Option C and D are also incorrect as they refer to unexplained variation, while R-squared measures explained variation. Option E is incorrect as it includes all options, but only A is the correct one.
Learning Objectives
- Learn to evaluate and compute the coefficient of determination accurately.
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