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Covariance and Correlation

Covariance

Click on (Data, Bivariate Prototypes) and impose on the vector display variables X [1 2 3 4 5] and Y[3 2 1 5 4]. Select (Transformations, Deviations from the mean), click Select All and the Append commands. Select (Operations, Multiply Variables)

 

and click the Accept command.

You may also compute covariance directly by selecting (Analysis I, Covariance), and marking variables X and Y

Correlation as the Standardized Covariance

Transferring descriptors (Transfers,  Descriptors to the scalar module), Clearing (Clear All) the scalar module display, selecting True Standard Deviation and variables X and Y, selecting (Analysis I, Covariance) and sending covariance to Cell 3

 

you can demonstrate definition of correlation as the standardized covariance.

Correlation

Click on (Data, Bivariate Prototypes) and impose on the vector display variables X [1 2 3 4 5] and Y[3 2 1 5 4]. Select (Transformations, Standard Z Scores), mark the variables and click the Append command. Select (Operations, Multiply Variables)

 

and click the Accept command.

You may also compute correlation directly by selecting (Analysis I, Coefficients of Correlation)

Clicking on the Correlation, Determination and Alienation commands, values of .50, .25, and .75 will be transferred to the Scalar module, as

By summing the coefficients of determination and alienation, you can demonstrate that their sum equals to one.