```
import plotly.express as px

df = px.data.tips()
fig = px.scatter(
    df, x='total_bill', y='tip', opacity=0.65,
    trendline='ols', trendline_color_override='darkblue'
)
fig.show()
```


University of Michigan - Ann Arbor

- Linear regression with scikit-learn and plotly
- Ordinary Least Square(OLS) with plotly.express
- 3D regression surface with px.scatter3d and go.Surface
- Prediction Error Plots

Machine Learning with Plotly

Plotly Documentation

```
import numpy as np
import plotly.express as px
import plotly.graph_objects as go
from sklearn.linear_model import LinearRegression

df = px.data.tips()
X = df.total_bill.values.reshape(-1, 1)

model = LinearRegression()
model.fit(X, df.tip)

x_range = np.linspace(X.min(), X.max(), 100)
y_range = model.predict(x_range.reshape(-1, 1))

fig = px.scatter(df, x='total_bill', y='tip', opacity=0.65)
fig.add_traces(go.Scatter(x=x_range, y=y_range, name='Regression Fit'))
fig.show()
```


Linear Regression with scikit-learn

OLS with plotly.express

```
import numpy as np
import plotly.express as px
import plotly.graph_objects as go
from sklearn.svm import SVR

mesh_size = .02
margin = 0

df = px.data.iris()

X = df[['sepal_width', 'sepal_length']]
y = df['petal_width']

# Condition the model on sepal width and length, predict the petal width
model = SVR(C=1.)
model.fit(X, y)

# Create a mesh grid on which we will run our model
x_min, x_max = X.sepal_width.min() - margin, X.sepal_width.max() + margin
y_min, y_max = X.sepal_length.min() - margin, X.sepal_length.max() + margin
xrange = np.arange(x_min, x_max, mesh_size)
yrange = np.arange(y_min, y_max, mesh_size)
xx, yy = np.meshgrid(xrange, yrange)

# Run model
pred = model.predict(np.c_[xx.ravel(), yy.ravel()])
pred = pred.reshape(xx.shape)

# Generate the plot
fig = px.scatter_3d(df, x='sepal_width', y='sepal_length', z='petal_width')
fig.update_traces(marker=dict(size=5))
fig.add_traces(go.Surface(x=xrange, y=yrange, z=pred, name='pred_surface'))
fig.show()
```


3D regression surface

```
import plotly.express as px
import plotly.graph_objects as go
from sklearn.linear_model import LinearRegression

df = px.data.iris()
X = df[['sepal_width', 'sepal_length']]
y = df['petal_width']

# Condition the model on sepal width and length, predict the petal width
model = LinearRegression()
model.fit(X, y)
y_pred = model.predict(X)

fig = px.scatter(x=y, y=y_pred, labels={'x': 'ground truth', 'y': 'prediction'})
fig.add_shape(
    type="line", line=dict(dash='dash'),
    x0=y.min(), y0=y.min(),
    x1=y.max(), y1=y.max()
)
fig.show()
```


Learn Before

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