The Statistics Calculator provides college level statistics functionality. Frequency DistributionThis includes observation stats (min, max, mean, median, population and sample variance and standard deviation), sort, random sample, t-test, linear regression and more. See the following:
The formulas for the statistics are as follows:
`S = sum_1^n(x)`
(Σx)² = S²
Σx² = `sum_1^n(x^2)`
The formula for the z SCORE is as follows:
`z_y = (y - μ_X)/s` where:
- y is the single observation
- μ is the mean
- s is the sample or population standard deviation.
The formula for the least-squared regression line is in the following form: y = a + bx
where: `b = ( (sum(XY) - (sumX * sumY)"/n")) / (sum(X^2) - (sumX)^2"/n") `
and: ` a = MY - b*MX` MY is mean of Y. MX is mean of X.
Thanks to, professor of math stats at Eastern Nazarene College and , Associate Professor of Psychology at St Mary's College of Maryland, for their advice and testing. Special thanks to Ms. Caroline Robertson for getting this library of equations off the ground.