Linear Correlation and Regression
with Graph Optimized for Macintosh with Internet Explorer
This page will calculate the basic summary statistics for your two samples, plus the following values pertaining specifically to linear correlation and regression:
r = the Pearson product-moment correlation coefficient;
r^{2} = the coefficient of determination;
the slope of the regression line;
the Y intercept of the regression line;
the standard error of estimate;
the value of t associated with the calculated value of r; and
the residual for each value of Y, calculated as
residual = Y—(intercept+[slope(X)])
The logic and computational details of correlation and regression
are described in Chapter 3 of Concepts and Applications.
Procedure: The procedures for data entry depend on which browser and browser version you are using. [The browser you are now using is Netscape 3.04 (Macintosh; I; PPC).] Netscape Navigator 3.0 or later and Internet Explorer 3.0 or later: A. Direct Entry into Data Cells [describe]
Netscape Navigator 3.0 or later and Internet Explorer 4.5 or later: B. Import Data from a Spreadsheet [describe]
C. Import Data from another VassarStats Page [describe]
D. Export Data to a Spreadsheet
or to another VassarStats Page [describe]
If you are importing or exporting data, you might find it handy to use the
Data Storage Window.
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 . Data Entry:
Variances and standard
deviations are calculated
with denominator=n-1.
standard deviation
r
r^{2}
Slope
Y Intercept
Standard Error
t
df
P
one-tailed
two-tailed
Y
xxx
X
Please be sure to clear the graph
before performing a new analysis.
Printable Report—for Netscape Navigator 3.0 or later and Internet Explorer 4.5 or later. Do not click this button if you are using a version of Internet Explorer earlier than 4.5. [The browser you are now using is .]