Which of the Following Formulas Calculates the Euclidean Distance Between $\sqrt{\left(x_{1}-x_{2}\right)^{2}+\left(x_{2}-\gamma_{2}\right)^{2}+\ldots+\left(x_{n}-\gamma_{n}\right)^{2}}$

question 9

Multiple Choice

Which of the following formulas calculates the Euclidean distance between X and Y?

• A) \( \sqrt{\left(x_{1}-x_{2}\right)^{2}+\left(x_{2}-\gamma_{2}\right)^{2}+\ldots+\left(x_{n}-\gamma_{n}\right)^{2}} \)
• B) \( \sqrt{\left(x_{1}+\gamma_{1}\right)+\left(x_{2}+\gamma_{2}\right)+\ldots+\left(x_{n}+\gamma_{n}\right)} \)
• C) \( \sqrt{\left(x_{1}-\gamma_{1}\right)^{2}+\left(x_{2}-\gamma_{2}\right)^{2}+\ldots+\left(x_{n}-\gamma_{n}\right)^{2}} \)
• D) \( \sqrt{\left(x_{n}-\gamma_{n}\right)^{2}} \)

---

Definitions:

Correlational Study

A research method that examines the relationship between two or more variables, determining how they might relate or predict each other without inferring a causal relationship.

Higher Income

An economic level that surpasses the average income threshold, indicating greater financial resources or earnings.

Third Variable Problem

A confounding issue in research where an unaccounted-for variable affects the outcome of the study, potentially misleading the relationship between the variables studied.

Naturalistic Observation

An investigative technique that involves watching participants in their unaltered surroundings without any intervention from the person observing.