Visualizing Linear Relationships

Introduction to Linear Modeling in Python

Jason Vestuto

Data Scientist

Quick Plots

import matplotlib.pyplot as plt
plt.plot(x, y, 'r-o')

plt.show()

Introduction to Linear Modeling in Python

Object Interface

# Import the pyplot module
import matplotlib.pyplot as plt

# Create figure and axis objects
fig, axis = plt.subplots()

# Prepare initial style options
options = dict(marker='o', color='blue')
Introduction to Linear Modeling in Python

Object Interface

# Call the plot method on the axis object
line = axis.plot(x, y, **options)

# Modify the axis object with set methods
_ = axis.set_ylabel('Times')
_ = axis.set_xlabel('Distances')

# Display figure
plt.show()
Introduction to Linear Modeling in Python

Visualizing Linear Data

  • two points:
    • (x1,y1) = (0,0)
    • (x2,y2) = (2,3)
  • change in x and y:
    • dy = (y2 - y1) = 3 - 0
    • dx = (x2 - x1) = 2 - 0
  • slope = rise-over-run
    • slope = dy/dx = 3/2
  • intercept:
    • when x=0: y1 = 0

Plot illustrating rise over run, demonstrating slope

Introduction to Linear Modeling in Python

Let's practice!

Introduction to Linear Modeling in Python

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