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:

Depression

A psychological condition distinguished by a continuously low mood or lack of enthusiasm in pursuits, resulting in substantial disruptions to everyday living.

Neural Networks

Computational models inspired by the human brain's network of neurons, used in artificial intelligence to simulate human-like learning.

Epigenetic Marks

Chemical modifications to DNA and histone proteins that regulate gene activity without altering the DNA sequence itself.

Object Permanence

The understanding that objects continue to exist even when they cannot be seen, heard, or touched.