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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 5DE
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Question
Find a polynomial
P (x) = ao + a1x + a2x²
10
of degree 2 which gives the best least squares fit for the following points:
(-1, 10), (0, –1), (2,–1), (3, –22)
How to enter polynomials.
Enter the formula for a polynomial using * to denote multiplication and ^ to
denote the exponent. For example, if the answer is the polynomial
-10
3
-x2 + 4.5x³
7*
P (x) = 1 – 2x +
-20
then you should enter 1 - 2*x + (3/7)*x^2 + 4.5*x^3 .
Do not forget to use
* for multiplication!
1
2
3
Note. You can enter polynomial coefficients either as fractions or in the decimal form, with precision up to 3 decimal places.
Enter your answer:
Transcribed Image Text:Find a polynomial P (x) = ao + a1x + a2x² 10 of degree 2 which gives the best least squares fit for the following points: (-1, 10), (0, –1), (2,–1), (3, –22) How to enter polynomials. Enter the formula for a polynomial using * to denote multiplication and ^ to denote the exponent. For example, if the answer is the polynomial -10 3 -x2 + 4.5x³ 7* P (x) = 1 – 2x + -20 then you should enter 1 - 2*x + (3/7)*x^2 + 4.5*x^3 . Do not forget to use * for multiplication! 1 2 3 Note. You can enter polynomial coefficients either as fractions or in the decimal form, with precision up to 3 decimal places. Enter your answer:
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