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3 years ago

Can someone pls help, I know this is kind of a lot but I’ve been stuck on this for a while now.

Mathematics

1 answer:

Greeley [361]3 years ago

3 0

9514 1404 393

Answer:

(a, b, c) = (-0.425595, 11.7321, 2.16667)

f(x) = -0.425595x² +11.7321x +2.16667

f(1) ≈ 13.5

Step-by-step explanation:

A suitable tool makes short work of this. Most spreadsheets and graphing calculators will do quadratic regression. All you have to do is enter the data and make use of the appropriate built-in functions.

Desmos will do least-squares fitting of almost any function you want to use as a model. It tells you ...

a = -0.425595

b = 11.7321

c = 2.16667

f(x) = -0.425595x² +11.7321x +2.16667

and f(1) ≈ 13.5

_____

<em>Additional comment</em>

Note that a quadratic function doesn't model the data very well if you're trying to extrapolate to times outside the original domain.

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