In a Simple Linear Regression Problem, the Following Sum of Squares

question 175

Multiple Choice

In a simple linear regression problem, the following sum of squares are produced: $\sum \left( y _ { i } - \bar { y } \right) ^ { 2 } = 200$ , $\sum \left( y _ { i } - \tilde { y } _ { i } \right) ^ { 2 } = 50$ , 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%