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%

---

Definitions:

Exchange Rate

The price of one currency expressed in terms of another currency, determining how much of one currency can be exchanged for another.

Canadian Dollars

The official currency of Canada, represented by the symbol CAD.

Trading Securities

Financial instruments like stocks or bonds held by a firm, primarily for the purpose of selling them in the near term to realize a gain.

Long-term

Pertaining to or occurring over an extended period, often exceeding one year, in the context of investments, loans, or planning.