Find a polynomial P(x) = a + a₁x + a₂x² of degree 2 which gives the best least squares fit for the following points: (-2,-8), (0,9), (4,-25), (5,-22) How to enter polynomials. Enter the formula for a polynomial using to denote multiplication and the exponent. For example, if the answer is the polynomial P(x) = 1 − 2x + x² + +45x3 then you should enter 1 - 2*x + (3/7)*x^2 + 4.5*x^3. Do not forget to use for multiplication! to denote 10 0 -10- -20 -30 -2 Note. You can enter polynomial coefficients either as fractions or in the decimal form, with precision up to 3 decimal places. -1 0 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 50E
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Question
11.3.b. Least square fitting 2
Find a polynomial
P(x) = ao + a₁x + 2x²
of degree 2 which gives the best least squares fit for the following points:
(-2,-8), (0,9), (4,-25), (5,-22)
How to enter polynomials.
Enter the formula for a polynomial using * to denote multiplication and
the exponent. For example, if the answer is the polynomial
then you should enter 1
A
3
P (x) = 1 − 2x + x² + 4.5x³
2*x + (3/7)*x^2 + 4.5*x^3.
Do not forget to use for multiplication!
to denote
10
0
-10-
-20
-30
-2
Note. You can enter polynomial coefficients either as fractions or in the decimal form, with precision up to 3 decimal places.
Enter your answer:
-1
0
1
2
3
4
5
Transcribed Image Text:11.3.b. Least square fitting 2 Find a polynomial P(x) = ao + a₁x + 2x² of degree 2 which gives the best least squares fit for the following points: (-2,-8), (0,9), (4,-25), (5,-22) How to enter polynomials. Enter the formula for a polynomial using * to denote multiplication and the exponent. For example, if the answer is the polynomial then you should enter 1 A 3 P (x) = 1 − 2x + x² + 4.5x³ 2*x + (3/7)*x^2 + 4.5*x^3. Do not forget to use for multiplication! to denote 10 0 -10- -20 -30 -2 Note. You can enter polynomial coefficients either as fractions or in the decimal form, with precision up to 3 decimal places. Enter your answer: -1 0 1 2 3 4 5
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