Using least-squares regression, find a straight line that best fits the data in Table 1 below. xi yi 0.2 8.2 0.4 8.4 0.6 8.5 0.8 8.6 1.0 8.8 1.2 8.7 b. Using table 1 above, find the second-degree Lagrange interpolating polynomial that goes through the first three data points, and use it to find the interpolated value at xi = 0.48.
Using least-squares regression, find a straight line that best fits the data in Table 1 below. xi yi 0.2 8.2 0.4 8.4 0.6 8.5 0.8 8.6 1.0 8.8 1.2 8.7 b. Using table 1 above, find the second-degree Lagrange interpolating polynomial that goes through the first three data points, and use it to find the interpolated value at xi = 0.48.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Using least-squares regression, find a straight line that best fits the data in Table 1 below.
xi | yi |
0.2 | 8.2 |
0.4 | 8.4 |
0.6 | 8.5 |
0.8 | 8.6 |
1.0 | 8.8 |
1.2 |
8.7 |
b. Using table 1 above, find the second-degree Lagrange interpolating polynomial that goes through the first three data points, and use it to find the interpolated value at xi = 0.48.
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