In a Simple Linear Regression Problem,the Following Sum of Squares $$\sum \left( y _ { i } - \bar { y } \right) ^ { 2 } = 200$$

In a simple linear regression problem,the following sum of squares are produced: $$\sum \left( y _ { i } - \bar { y } \right) ^ { 2 } = 200$$ , $$\sum \left( \gamma _ { i } - \hat { y } _ { i } \right) ^ { 2 } = 50$$ ,and $$\sum \left( \tilde { y } _ { i } - \bar { y } \right) ^ { 2 } = 150$$ .The percentage of the variation in y that is explained by the variation in x is:

A) 25%
B) 75%
C) 33%
D) 50%

Correct Answer:

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