Correlation

Correlation — a statistical relationship between two or more random variables (or values which can with some acceptable degree of accuracy considered as such). Thus, changes to one or more of these values results in systematic change in another or other quantities. Mathematical measure of correlation of two random variables is the correlation coefficient.

Some types of correlation coefficients can be positive or negative (also the lack of statistical relationship, for example, for independent random variables). If it is assumed that the values of the variables is set to a strict order, then a negative correlation — a correlation in which an increase one variable is associated with a decrease in another variable, the correlation coefficient may be negative; a positive correlation in such circumstances — correlation in which an increase one variable is associated with an increase in another variable, the correlation coefficient can be positive.

Autocorrelation is the statistical relationship between random variables from the same series, but taken with a shift, for example, for a random process with a time shift.

The correlation coefficient or the paired correlation coefficient in probability theory and statistics is a measure of the stochastic nature of the mutual effects of change of two random variables. The correlation coefficient is denoted by the Latin letter R in mathematical statistics (r statistics) and can take values from -1 to +1. If the value of modulo is closer to 1, it means there is a strong link, and if closer to 0 — the link is missing or is significantly nonlinear. If the correlation coefficient is equal to the modulo unit talking about functional relationships (i.e. linear dependence), i.e. changes in the two quantities can be described by a linear function.

In the various application sectors (sociology, demography, medicine, physics, chemistry, Economics, etc.) adopted different boundaries of the intervals for the evaluation of the closeness and importance of communication.

Correlation analysis is a method of processing statistical data that involves examining the correlation coefficients between the variables. At the same compared to the correlation coefficients between the one pair or multiple pairs of signs to establish between statistical relationships.

The purpose of correlation analysis is to provide some information about one variable by using another variable. In cases where it is possible to achieve the goal, they say that variables are correlated. In General, the acceptance of the hypothesis of correlation means that the variable changes value And will occur simultaneously with a proportional change in the value B.