Problem IV Find a linear polynomial f(x) which is the best least squares fit to the following data. X -1|0|1|2 0 224 61. · f(x) 71. Xx −1 01 2 f(x) 4 220
Problem IV Find a linear polynomial f(x) which is the best least squares fit to the following data. X -1|0|1|2 0 224 61. · f(x) 71. Xx −1 01 2 f(x) 4 220
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Parts 61-64 Please
![**Practice Problems for Test 2 (page 3 of 3)**
**Problem IV**: Find a linear polynomial \( f(x) \) which is the best least squares fit to the following data.
---
**61.**
\[
\begin{array}{c|cccc}
x & -1 & 0 & 1 & 2 \\
\hline
f(x) & 0 & 2 & 2 & 4 \\
\end{array}
\]
**62.**
\[
\begin{array}{c|cccc}
x & -1 & 0 & 1 & 3 \\
\hline
f(x) & 0 & 2 & 2 & 4 \\
\end{array}
\]
**63.**
\[
\begin{array}{c|cccc}
x & -1 & 0 & 2 & 3 \\
\hline
f(x) & 0 & 2 & 2 & 4 \\
\end{array}
\]
**64.**
\[
\begin{array}{c|cccc}
x & -1 & 1 & 2 & 3 \\
\hline
f(x) & 0 & 2 & 2 & 4 \\
\end{array}
\]
**65.**
\[
\begin{array}{c|cccc}
x & -2 & 0 & 1 & 2 \\
\hline
f(x) & 0 & 2 & 2 & 4 \\
\end{array}
\]
**66.**
\[
\begin{array}{c|cccc}
x & -2 & -1 & 0 & 2 \\
\hline
f(x) & 0 & 2 & 2 & 4 \\
\end{array}
\]
**67.**
\[
\begin{array}{c|cccc}
x & -1 & 0 & 1 & 2 \\
\hline
f(x) & 1 & 2 & 2 & 3 \\
\end{array}
\]
**68.**
\[
\begin{array}{c|cccc}
x & -1 & 0 & 1 & 3 \\
\hline
f(x) & 1 & 2 & 2 & 3 \](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b19493d-2e0b-4edb-977e-29215d3bb0dd%2Fff79253a-f0ca-427c-8765-129250c10bdb%2Fwzsza2o_processed.png&w=3840&q=75)
Transcribed Image Text:**Practice Problems for Test 2 (page 3 of 3)**
**Problem IV**: Find a linear polynomial \( f(x) \) which is the best least squares fit to the following data.
---
**61.**
\[
\begin{array}{c|cccc}
x & -1 & 0 & 1 & 2 \\
\hline
f(x) & 0 & 2 & 2 & 4 \\
\end{array}
\]
**62.**
\[
\begin{array}{c|cccc}
x & -1 & 0 & 1 & 3 \\
\hline
f(x) & 0 & 2 & 2 & 4 \\
\end{array}
\]
**63.**
\[
\begin{array}{c|cccc}
x & -1 & 0 & 2 & 3 \\
\hline
f(x) & 0 & 2 & 2 & 4 \\
\end{array}
\]
**64.**
\[
\begin{array}{c|cccc}
x & -1 & 1 & 2 & 3 \\
\hline
f(x) & 0 & 2 & 2 & 4 \\
\end{array}
\]
**65.**
\[
\begin{array}{c|cccc}
x & -2 & 0 & 1 & 2 \\
\hline
f(x) & 0 & 2 & 2 & 4 \\
\end{array}
\]
**66.**
\[
\begin{array}{c|cccc}
x & -2 & -1 & 0 & 2 \\
\hline
f(x) & 0 & 2 & 2 & 4 \\
\end{array}
\]
**67.**
\[
\begin{array}{c|cccc}
x & -1 & 0 & 1 & 2 \\
\hline
f(x) & 1 & 2 & 2 & 3 \\
\end{array}
\]
**68.**
\[
\begin{array}{c|cccc}
x & -1 & 0 & 1 & 3 \\
\hline
f(x) & 1 & 2 & 2 & 3 \
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