Recall the 8 animals who received different doses of a drug and
whose weight gain was measured. The quadratic equation that best
described the relationship between dose and weight gain was:
y = 1.13 − 0.41x + 0.17x2
We can use substitution to find the predicted weight gain, given a
dose. For example, if we know an animal like these received dose 3,
we would predict that the weight gain would be
1.13 − 0.41(3) + 0.17(3)(3) = 1.43 dekagrams.
What if we knew the animal had gained 5 dekagrams, and wanted
to deduce what the dose had been?
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