Question

Find quadratic regressive equation for the following f' points;
(x, f'(x)): (-4,74); (-3,39); -2,10; -1,-6; 0,-14; 1,-12; 2,0; 3,22; 4,55

It's something really complicated, and I'm later asked to find the original equation, which is a cubic function. Any idea on how I can do this? It's supposed to be on my calc test.

Thanks in advance!

Answers

Steve
If you mean quadratic regression, I'd google the topic and read some of the articles. Hard to believe such a complicated process would be on a test under limited time.

At any rate, if you do find a quadratic f' = ax^2+bx+c, then clearly

f = a/3 x^2 + b/2 x^2 + cx + d

where d can be determined if given another piece of data.
Ashley Rubi lara
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