The Following Sums of Squares Are Produced: ? $$\left( y _ { i } - \bar { y } \right) ^ { 2 }$$

question 157

Multiple Choice

The following sums of squares are produced: ? $$\left( y _ { i } - \bar { y } \right) ^ { 2 }$$ = 250, ? $\left( y _ { i } - \hat { y } _ { i } \right) ^ { 2 }$ = 100, ? $\left( \hat { y } _ { i } - \bar { y } \right) ^ { 2 }$ = 150.
The percentage of the variation in y that is explained by the variation in x is:

• A)60%.
• B)75%.
• C)40%.
• D)50%.

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