A business school carried out a survey to identify what combinations of the variables:gender, parent's education, mosaic(scores in mosaic pattern test) andvisualization testscores best distinguishes students who take the subjectAlgebra 2from those who do not take the subjectAlgebra 2.

Codification of data is as follows:

gender(0=male, 1=female)

parent's education(on a discrete scale of 1 to 10, 1 being illiterate and 10 being Ph.D.)

mosaicis the actual score in mosaic pattern test (between 0 to 50)

visualization testis the actual score in visualization test (between 0 to 20)

An extract of the SPSS output for discriminant analysis is given below:

Functions at Group Centroids

algebra 2 in h.s.

Function

1

not taken

-.595

taken

.680

Unstandardized canonical discriminant functions evaluated at group means

Canonical Discriminant Function Coefficients

Function

1

gender

-.439

parent's education

.332

mosaic, pattern test

-.023

visualization test

.171

(Constant)

-1.485

Unstandardized coefficients

The cut-off value for the discriminant function score thatbest distinguishes students who take the subjectAlgebra 2from those who do not take the subjectAlgebra 2 is:

1.0.0425

2.0.0850

3.0

4.0.02125