(1) Perceptron - what is the equation of the separating surface given the two classes below.

SELECT 3 PROBLEMS from the problems 2-9  to work on. Extra credit for any others you do.
 (1) Perceptron - what is the equation of the separating surface given the two classes below. PLEASE GIVE THE EQUATION FOLLOWING BY EITHER THE PROGRAM YOU USED OR ALL THE CALCULATIONS. NO SUPPORT = NO CREDIT.
Class 1
(1,2,3)
(4,5,6)
(7,8,9)
(25,15,20
Class 2
(-1,2,3)
(-4,-5,-6)
(7,-8,-9)
(-25,-15,-20)
(2) Bigram / text processing
Given the bigram example of homework week 5, ( I am Sam , Sam I am, I do not like green eggs and ham, etc) -
(A) what word most likely follows the word `I` ?  answer am 
 (B) what word most likely follows the answer of (a) above? 
(3) The movie TITANIC was a media sensation as you no doubt know. The
movie suggested that the rich people survived and the poor did not.
The actual survival records are given as data in the DATA FOLDER
Assume you get funded by a TV network to use data mining in the
survival data and report your findings. Was there some pattern as to
who survived and who did not?
 
(4). Use the k means algorithm with 5 cluster centers to cluster the ecoli data 


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