Discussion
Adding a third variable at \( 4 \) levels to that study raises the count to
Answer: B
Correct answer: 80
The count multiplies again:
\[ 5 \times 4 \times 4 = 80 \]Three variables at these levels already require eighty analyses; a fourth would give hundreds. This exponential growth - the curse of dimensionality - is why full factorial sweeps give way to designed experiments, response surfaces and surrogate models as the number of variables rises.
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