Let's treat Length (1) and Width (2) as
two variables and then create six other variables as
functions of (1) and (2)adding random error termsto
create these variables in inches for all 100
arbitrarilydrawn rectangles:
Variable
#

Description

Mean

1

Length

17.8

2

Width

11.7

3

10Length +
e

190.6

4

10Width +e

119.1

5

20L + 10W +
e

476.3

6

20L + 20W +
e

591.5

7

10L + 20W +
e

416.1

8

40L + 10W +
e

831.3

This example comes from William W.
Cooley and Paul R. Lohnes, Multivariate Procedures for
the Behavioral Sciences. New York: John Wiley, 1962, pp.
154157.
Go to the next page, # 3:
The correlation
matrix for measures of 100
rectangles
