MATH 375 Assignment 6: Least Squares Fitting¶
Brenton LeMesurier, April 28 2021
Due by Monday May 3
For the following data, find:
A linear least squares fit
\[
\text{(Blood Pressure)} \approx P_0 + P_1 \text{(Weight)}.
\]
A power law fit
\[
\text{(Blood Pressure)} \approx P \text{(Weight)}^a.
\]
Illustrate your results with graphs, and compare how the two methods perform.
Species |
Blood Pressure (mm Hg) |
Weight (g) |
|---|---|---|
Cow |
157 |
800000 |
Cat |
129 |
2000 |
Dog |
120 |
5000 |
Duck |
162 |
2000 |
Frog |
24 |
50 |
Giraffe |
300 |
900000 |
Goat |
98 |
30000 |
Guinea Pig |
60 |
100 |
Human |
120 |
90000 |
Monkey |
140 |
5000 |
Pig |
128 |
150000 |
Snake |
55 |
100 |
Turkey |
193 |
15000 |
A small bonus for illustrating with graphs.
This can be done using Python or by hand (that is, with pencil, paper, hand and-caculator). Eiher way, describe the systems of linear equations that are to be solved to get the coefficients, \(P_0\), \(P_1\), \(P\), and \(a\).
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