Discussion
Match each situation with what the degrees of freedom count indicates.
List I
A. Zero
B. Positive
C. Negative
D. Negative with consistent data
List II
1. the problem is over-specified
2. the problem is exactly specified
3. some specifications are redundant
4. more specifications are needed
Answer: B
Correct answer: A-2, B-4, C-1, D-3
Counting unknowns less independent equations: zero means the problem is exactly specified and has a unique solution; a positive count means more specifications are needed; a negative count means it is over-specified. The last case splits in two - if the extra data are consistent the surplus specifications are merely redundant, and if they are not, the data contain an error.
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