vahelduskorrelaatsioonifunktsionaali

Vahelduskorrel, also known as the correlation coefficient, is a statistical measure that expresses the degree to which two variables are linearly related. It is denoted by the symbol "r" and its value ranges from -1 to 1. A value of 1 indicates a perfect positive linear relationship, -1 indicates a perfect negative linear relationship, and 0 indicates no linear relationship. The correlation coefficient is widely used in various fields, including economics, psychology, and biology, to analyze the strength and direction of the relationship between two variables.

The formula for calculating the correlation coefficient is:

r = (n(∑xy) - (∑x)(∑y)) / √[(n∑x² - (∑x)²)(n∑y² - (∑y)²)]

where n is the number of data points, ∑xy is the sum of the products of the corresponding x and y values, ∑x and ∑y are the sums of the x and y values, and ∑x² and ∑y² are the sums of the squared x and y values.

It is important to note that the correlation coefficient only measures the linear relationship between two variables and does not imply causation. Additionally, it is sensitive to outliers and non-linear relationships. Therefore, it should be used in conjunction with other statistical measures and visualizations to gain a comprehensive understanding of the relationship between two variables.