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Old 01-09-2013, 10:55 AM
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yaser yaser is offline
Caltech
 
Join Date: Aug 2009
Location: Pasadena, California, USA
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Default Re: Still unclear on Problem 6

Quote:
Originally Posted by ripande View Post
a). As I understand, a possible target function is the one that agrees with all the 5 points that are stated in the problem.

b). However, the questions says that the possible target functions are 8 ( all permulations of the remaining 3 points with their possible outputs ).

I am unable to relate the above two definitions of the "possible target function".
A target function is defined on all 8 points. To be a possible target function given that it generated the data set of 5 points, it has to agree with these points since it generated them. This leaves 3 points which can assume any values and still make the function a possible target function. Since there are 8 possible combinations of values on these 3 points, this gives us 8 distinct functions all of which are possible target functions.
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