# A question on discriminant analysis- Linear discriminant function

Above is part of an examination paper. I am not sure how to understand this SAS output. Especially what is there in the last table which looks to me like two discriminant functions. Can someone help me understand this? And how do I use this to classify given some observation say $X_1=94$, $X_2=491$? Thanks

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@ttnphns One way I know is checking the sign of b'x-k and depending on the sign the population is chosen. Is this the same or different? –  Heisenberg Jun 28 at 8:03
Was that homework or solving textbook exercises? If yes, please add self-study tag. –  ttnphns Jun 28 at 9:38
This was from a past paper on Multivariate data analysis. I will add the tag –  Heisenberg Jun 28 at 9:40

So no, the table is not two discriminant functions. For 2 groups, only one disriminant function exist. That function is actually not shown anywhere in your output: it is implied.
To assign an observation with the help of the Fisher's coefficients, compute classA = .36*X1+.39*X2-101.70 and classB = .49*X1+.34*X2-97.43. Compute classA-classB. If the value is positive, assign to A; if negative, assign to B.
(39+44)/90=92% correct rate is high for me. –  ttnphns Jun 28 at 9:34