Correlation

Linear Correlation and Regression
Direct-Entry Version

For a sample of N bivariate values of X and Y, this page will calculate:_T

r = the Pearson product-moment correlation coefficient;_T

r² = the coefficient of determination;_T

the slope of the regression line;_T

the Y intercept of the regression line;_T

the standard error of estimate;_T

the value of t associated with the calculated value of r, along with the corresponding one- and two-tailed probabilities;_T

the residual for each value of Y, calculated as
residual = Y—(intercept+[slope(X)]) and:_T

the lower and upper limits of the .95 and .99 confidence intervals for the correlation coefficient (rho) that exists within the bivariate population from which the sample is drawn.

The logic and computational details of correlation and regression
are described in Chapter 3 of Concepts and Applications.

Procedure_T
Enter the values of X and Y into the cells of the designated columns, beginning in the top-most cell of each column. After each entry, depressing the 'tab' key will take you down to the next cell in the column. After completion and verification of data entry, click the button labeled «Calculate». If you wish to perform another analysis with a different set of data: click the «Reset» button if the value of N for the new set of data is or smaller; click the «Reload» button if the value of N is larger than ._T

Data Entry_T

	Data Cells
Pairs	X	Y	Residuals

Data Summary_T

	iX =			iX²_i =
	iY =			iY²_i =
	iXY =

	X	Y
N
Mean
Variance
Std.Dev.
Std.Err.

r	r²	Slope	Y Intercept	Std. Err. of Estimate

t	df

P	one-tailed
P	two-tailed

0.95 and 0.99 Confidence Intervals of rho_T

	Lower Limit	Upper Limit
0.95
0.99

Home

Click this link only if you did not arrive here via the VassarStats main page.