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A Simple Linear Regression Problem Produced the Following Sum of Squares

Question 126

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A simple linear regression problem produced the following sum of squares: (yiyˉ)2\sum \left( y _ { i } - \bar { y } \right) ^ { 2 } = 240, (yiy^i)2\sum \left( y _ { i } - \hat { y } _ { i } \right) ^ { 2 } = 60, (y^iyˉ)2\sum \left( \\\hat { y } _ { i } - \bar { y } \right) ^ { 2 } = 180
What percentage of the variation in y is explained by the regression line?

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