Free Covariance and Correlation coefficient (r) and Least Squares Method and Exponential Fit Calculator - 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)

For more math formulas, check out our Formula Dossier

y^ = α + βx

β = Σ(X

ρ = 1 - c

c = 6Σd

For more math formulas, check out our Formula Dossier

- 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