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

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<-- Enter Number Set Y

### How does the Covariance and Correlation coefficient (r) and Least Squares Method and Exponential Fit Calculator work?

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 r2
* Spearmans rank correlation coefficient
* Wilcoxon Signed Rank test
This calculator has 2 inputs.

### What 5 formulas are used for the Covariance and Correlation coefficient (r) and Least Squares Method and Exponential Fit Calculator?

1. r = Cov(X,Y) = sxsy
2. y^ = α + βx
3. β = Σ(Xi - X)(Yi - Y)/Σ(Xi - X)2
4. ρ = 1 - c
5. c = 6Σdi2/n(n2 - 1)

For more math formulas, check out our Formula Dossier

### What 9 concepts are covered in the Covariance and Correlation coefficient (r) and Least Squares Method and Exponential Fit Calculator?

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