Consider the data series obtained from a certain experiment for which we have no more information: (0, 1), (0, 2), (2, 2), (3, 4), (4, 6). You want to choose which of two mathematical models best fits the data series. Model 1 is a line y = ax + b, and Model 2 is exponential of the form y = e^(cx). Provide your best approximations for both models, and argue for the reasons for choosing the best model.
Consider the data series obtained from a certain experiment for which we have no more information: (0, 1), (0, 2), (2, 2), (3, 4), (4, 6). You want to choose which of two mathematical models best fits the data series. Model 1 is a line y = ax + b, and Model 2 is exponential of the form y = e^(cx). Provide your best approximations for both models, and argue for the reasons for choosing the best model.
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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Question
Consider the data series obtained from a certain experiment for which we have no more information:
(0, 1), (0, 2), (2, 2), (3, 4), (4, 6).
You want to choose which of two mathematical models best fits the data series. Model 1 is a line y = ax + b, and Model 2 is exponential of the form y = e^(cx).
Provide your best approximations for both models, and argue for the reasons for choosing the best model.
Expert Solution
Step 1
Tabulate the given ordered pairs as follows,
x | y |
0 | 1 |
0 | 2 |
2 | 2 |
3 | 4 |
4 | 6 |
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