Asked by Jennifer Texta on Jun 09, 2024
Verified
Given that the sum of squares for error is 60 and the sum of squares for regression is 140, then the coefficient of determination is:
A) 0.429
B) 0.300
C) 0.700
D) 0.837
E) 1
Sum Of Squares
A statistical measure that quantifies the variation within a set of numbers, calculated as the sum of the squared differences from the mean.
- Gain an understanding of and determine the value of the coefficient of determination.
Verified Answer
JH
Jessica HernandezJun 12, 2024
Final Answer :
C
Explanation :
The coefficient of determination, R2R^2R2 , is calculated as the ratio of the sum of squares for regression (SSR) to the total sum of squares (SST), which is the sum of SSR and the sum of squares for error (SSE). Here, R2=140140+60=140200=0.7R^2 = \frac{140}{140 + 60} = \frac{140}{200} = 0.7R2=140+60140=200140=0.7 .
Learning Objectives
- Gain an understanding of and determine the value of the coefficient of determination.
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