Négyzetösszegének

Négyzetösszegének is a Hungarian term that translates to "sum of squares" in English. It refers to a mathematical operation where the square of each number in a set is calculated and then these squared values are added together. This concept appears in various fields of mathematics, including statistics, linear algebra, and number theory.

In statistics, the sum of squares is a fundamental component of variance and regression analysis. For instance, the total sum of squares (SST) measures the total variability in a dataset, while the sum of squares due to regression (SSR) quantifies the variability explained by a regression model. The sum of squares of residuals (SSR or SSE) represents the unexplained variability.

In linear algebra, the sum of squares can arise when dealing with vector norms or distances. The squared Euclidean distance between two points is the sum of the squares of the differences of their corresponding coordinates.

The term "négyzetösszegének" specifically implies a possessive form in Hungarian, meaning "its sum of squares" or "the sum of squares of it," referring to a specific set of numbers or a particular context. The calculation itself involves taking each element, multiplying it by itself, and then summing up all these products. For a set of numbers {a, b, c}, the sum of squares is a² + b² + c².