In Regression Analysis, the Total Variation in the Dependent Variable $\sum \left( y _ { i } - \bar { y } \right) ^ { 2 }$

question 51

True/False

In regression analysis, the total variation in the dependent variable y, measured by $\sum \left( y _ { i } - \bar { y } \right) ^ { 2 }$ , can be decomposed into two parts: the explained variation, measured by SSR, and the unexplained variation, measured by SSE.

---

Definitions:

Groups

Collections of individuals or items that are studied in research to observe, measure, and analyze certain behaviors or outcomes.

Critical Value

The threshold value that the test statistic must exceed in order to reject the null hypothesis in a statistical test.

Groups

Collections of subjects, participants, or data points that are studied and compared in research to assess the impact of varying conditions.

Null Hypothesis

A hypothesis in statistical analysis that proposes there is no significant difference or relationship between specified populations, any observed difference being due to sampling or experimental error.