Given two distributions X and Y, this calculates the following:

* Covariance of X and Y denoted Cov(X,Y)

* The correlation coefficient r.

* Using the least squares method, this shows the least squares regression line (Linear Fit) and Confidence Intervals of α and Β (90% - 99%)

Exponential Fit

* Coefficient of Determination r squared r^{2}

* Spearmans rank correlation coefficient

* Wilcoxon Signed Rank test

This calculator has 2 inputs.

* Covariance of X and Y denoted Cov(X,Y)

* The correlation coefficient r.

* Using the least squares method, this shows the least squares regression line (Linear Fit) and Confidence Intervals of α and Β (90% - 99%)

Exponential Fit

* Coefficient of Determination r squared r

* Spearmans rank correlation coefficient

* Wilcoxon Signed Rank test

This calculator has 2 inputs.

- r = Cov(X,Y) = s
_{x}s_{y} - y^ = α + βx
- β = Σ(X
_{i}- X)(Y_{i}- Y)/Σ(X_{i}- X)^{2} - ρ = 1 - c
- c = 6Σd
_{i}^{2}/n(n^{2}- 1)

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- coefficient of determination
- a statistical measurement that examines how differences in one variable can be explained by the difference in a second variable

R^{2}= 1 - RSS/TSS - confidence interval
- a range of values so defined that there is a specified probability that the value of a parameter lies within it.
- correlation
- a statistical measure that expresses the extent to which two variables are linearly related
- covariance
- a measure of how much two random variables vary together
- covariance and correlation coefficient (r) and least squares method and exponential fit
- exponential
- of or relating to an exponent
- spearmans rank correlation coefficient
- a technique which can be used to summarise the strength and direction (negative or positive) of a relationship between two variables
- standard deviation
- a measure of the amount of variation or dispersion of a set of values. The square root of variance
- variance
- How far a set of random numbers are spead out from the mean