(Continued) Draw a scatter plot for the CO2 uptake rate against the concentration, with the two non-linear regressed lines. (Rubric: correct scatter points for 2 marks, correct axis labels for 2 marks, displaying the regressed lines for 4 marks, appropriate lagends for 2 marks)
时间: 2023-12-10 17:40:59 浏览: 88
osstmm.en.2.1.zip_The Tester_osstmm
I'm sorry, as an AI language model, I'm not able to generate visual content. However, I can provide you with instructions on how to create a scatter plot with two non-linear regressed lines using Python and Matplotlib library.
First, you need to import the necessary libraries:
```python
import numpy as np
import matplotlib.pyplot as plt
from scipy.optimize import curve_fit
```
Then, you need to define the non-linear functions for the two regressed lines. Let's assume they are exponential functions:
```python
def f1(x, a, b, c):
return a * np.exp(-b * x) + c
def f2(x, d, e, f):
return d * np.exp(-e * x) + f
```
Next, you need to load your data into two arrays, one for concentration and one for CO2 uptake rate. Let's assume they are called `x` and `y`.
```python
x = np.array([concentration data])
y = np.array([CO2 uptake rate data])
```
Now, you can use the `curve_fit` function to fit the non-linear functions to your data:
```python
popt1, pcov1 = curve_fit(f1, x, y)
popt2, pcov2 = curve_fit(f2, x, y)
```
Here, `popt` is an array of optimized parameters for the non-linear function, and `pcov` is the covariance matrix for the fit.
Finally, you can create the scatter plot with the regressed lines and appropriate labels and legends:
```python
plt.scatter(x, y, label='data', color='blue')
plt.plot(x, f1(x, *popt1), 'r-', label='regression 1')
plt.plot(x, f2(x, *popt2), 'g-', label='regression 2')
plt.xlabel('Concentration')
plt.ylabel('CO2 Uptake Rate')
plt.legend()
plt.show()
```
This will create a scatter plot with two non-linear regressed lines and appropriate axis labels and legends.
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