Asked by Kelvyn almanzar on Jun 04, 2024
Verified
If a data set produces SSR = 300 and SSE = 200, then the coefficient of determination is
A) .67.
B) .25.
C) .40.
D) .60.
Coefficient Of Determination
A statistical measure represented as a number between 0 and 1 that indicates the proportion of the variance in the dependent variable that is predictable from the independent variable(s).
SSR
The sum of squared residuals, a measure of the discrepancy between the data and an estimation model.
SSE
The sum of squared errors, which measures the total deviation of observed values from their mean in statistical models.
- Figure out and detail the meaning of the coefficient of determination in the realm of regression analysis.
Verified Answer
AH
Austin HurleyJun 07, 2024
Final Answer :
D
Explanation :
The coefficient of determination (R-squared) is calculated as SSR / SST, where SST = SSR + SSE.
So, R-squared = 300 / (300 + 200) = 0.6
Therefore, the answer is D) 0.60.
So, R-squared = 300 / (300 + 200) = 0.6
Therefore, the answer is D) 0.60.
Learning Objectives
- Figure out and detail the meaning of the coefficient of determination in the realm of regression analysis.