Correlation Coefficient VI

Owning Palette: Probability & Statistics VIs

Requires: Full Development System

Computes the linear correlation coefficient between input sequences X and Y.

Details  

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X is the first input sequence.
Y is the second input sequence.
correlation coefficient r returns the correlation coefficient between X and Y.
r^2 returns the square of correlation coefficient r.

Correlation Coefficient Details

The linear correlation coefficient also is known as the product-moment coefficient of correlation or Pearson's correlation. The following equation describes the linear correlation coefficient:

where zx and zy are the standardized z-values of X and Y. The standardized z-values indicate how many standard deviations X and Y are above or below the mean.

correlation coefficient r always is in the interval [–1, 1]. If correlation coefficient r is 1, X and Y have a complete positive correlation. In other words, the data points from X and Y lie on a perfectly straight, positively-sloped line. If correlation coefficient r is –1, X and Y have a complete negative correlation. In other words, the data points from X and Y lie on a perfectly straight, negatively-sloped line. If correlation coefficient r is 0, X and Y have no correlation.