Scatter plots with regression (regplot) in Data Analysis Python

Introduction

Scatter plots with regression help us see how two things relate. The regression line shows the trend or pattern between them.

To check if height and weight are related in a group of people.

To see how study time affects test scores for students.

To explore if temperature changes affect ice cream sales.

To find patterns between advertising budget and sales revenue.

Syntax

Data Analysis Python

import seaborn as sns
sns.regplot(x='x_column', y='y_column', data=dataframe)
import matplotlib.pyplot as plt
plt.show()

regplot draws points and a line showing the trend.

You need seaborn and matplotlib libraries installed.

Examples

Shows how income changes with age using points and a trend line.

Data Analysis Python

sns.regplot(x='age', y='income', data=df)
plt.show()

Customizes point color to red and regression line color to blue.

Data Analysis Python

sns.regplot(x='hours_studied', y='test_score', data=df, scatter_kws={'color':'red'}, line_kws={'color':'blue'})
plt.show()

Plots without the confidence interval shading around the regression line.

Data Analysis Python

sns.regplot(x='temperature', y='ice_cream_sales', data=df, ci=None)
plt.show()

Sample Program

This code creates a small table of study hours and test scores. Then it draws a scatter plot with a line showing the trend between hours studied and test scores.

Data Analysis Python

import seaborn as sns
import matplotlib.pyplot as plt
import pandas as pd

# Create sample data
data = {'hours_studied': [1, 2, 3, 4, 5, 6, 7, 8],
        'test_score': [50, 55, 65, 70, 75, 80, 85, 90]}
df = pd.DataFrame(data)

# Plot scatter with regression line
sns.regplot(x='hours_studied', y='test_score', data=df)
plt.title('Test Score vs Hours Studied')
plt.xlabel('Hours Studied')
plt.ylabel('Test Score')
plt.show()

Important Notes

The regression line helps predict y from x but does not prove cause and effect.

You can customize colors and remove confidence intervals for clearer visuals.

Make sure your data has numeric values for both x and y.

Summary

Scatter plots with regression show points and a trend line together.

They help us understand relationships between two numeric variables.

Seaborn's regplot is an easy way to create these plots in Python.

Practice

1. What does the sns.regplot() function primarily do in data analysis?

easy

A. It creates a scatter plot with a regression line showing the relationship between two variables.

B. It calculates the correlation coefficient between two variables.

C. It generates a histogram of a single variable.

D. It fits a clustering model to the data.

Solution

1. Step 1: Understand the purpose of sns.regplot()

   The function sns.regplot() is designed to plot data points as a scatter plot and overlay a regression line to show the trend.

2. Step 2: Compare with other options

   Options A, C, and D describe different functions: correlation calculation, histogram plotting, and clustering, which are not the main purpose of sns.regplot().

3. Final Answer:

   It creates a scatter plot with a regression line showing the relationship between two variables. -> Option A

4. Quick Check:

   sns.regplot() = scatter + regression line [OK]

Hint: Remember regplot = scatter plot + regression line [OK]

Common Mistakes:

• Confusing regplot with correlation calculation
• Thinking regplot creates histograms
• Assuming regplot fits clustering models

2. Which of the following is the correct syntax to create a scatter plot with a regression line using seaborn for variables x and y in DataFrame df?

easy

A. sns.regplot(df, x=x, y=y)

B. sns.regplot(data=df, x='x', y='y')

C. sns.regplot(x=x, y=y, data=df)

D. sns.regplot(x=df['x'], y='y')

Solution

1. Step 1: Check seaborn regplot parameter order

   The correct way is to specify the DataFrame with data= and then the column names as strings for x and y.

2. Step 2: Validate each option

   sns.regplot(data=df, x='x', y='y') uses the correct keyword arguments. sns.regplot(df, x=x, y=y) passes undefined variables x and y. sns.regplot(x=x, y=y, data=df) passes undefined variables x and y. sns.regplot(x=df['x'], y='y') mixes pandas Series for x and string literal for y, causing a type error.

3. Final Answer:

   sns.regplot(data=df, x='x', y='y') -> Option B

4. Quick Check:

   Use data= for DataFrame, x and y as column names [OK]

Hint: Use data= for DataFrame, x and y as column names [OK]

Common Mistakes:

• Omitting data= keyword
• Passing column names without quotes
• Mixing parameter order

3. What will be the output of the following code snippet?

import seaborn as sns
import pandas as pd
import matplotlib.pyplot as plt

data = pd.DataFrame({
    'height': [150, 160, 170, 180, 190],
    'weight': [50, 60, 65, 80, 90]
})
sns.regplot(data=data, x='height', y='weight')
plt.show()

medium

A. An error because plt.show() is missing.

B. A scatter plot of height vs weight without any regression line.

C. A bar chart showing average weight for each height.

D. A scatter plot of height vs weight with a regression line showing positive correlation.

Solution

1. Step 1: Understand the code

   The code creates a DataFrame with height and weight, then uses sns.regplot() to plot height on x-axis and weight on y-axis with a regression line.

2. Step 2: Predict the plot output

   The plot will show points scattered according to the data and a regression line indicating the positive trend between height and weight.

3. Final Answer:

   A scatter plot of height vs weight with a regression line showing positive correlation. -> Option D

4. Quick Check:

   regplot shows scatter + regression line [OK]

Hint: regplot always adds regression line by default [OK]

Common Mistakes:

• Thinking regplot does not add regression line
• Confusing scatter plot with bar chart
• Assuming plt.show() is optional but causes error

4. Identify the error in this code that tries to plot a regression scatter plot:

import seaborn as sns
import pandas as pd

data = pd.DataFrame({'x': [1, 2, 3], 'y': [4, 5, 6]})
sns.regplot(x='x', y='y')

medium

A. Incorrect argument order; data= keyword is missing before DataFrame.

B. Missing plt.show() to display the plot.

C. Column names should not be strings.

D. sns.regplot does not accept DataFrame input.

Solution

1. Step 1: Check function call syntax

   The function call sns.regplot(x='x', y='y') passes column names without the data= keyword for the DataFrame.

2. Step 2: Understand the error

   Without data=, seaborn cannot locate the columns 'x' and 'y' and treats the strings as data, causing a TypeError.

3. Final Answer:

   Incorrect argument order; data= keyword is missing before DataFrame. -> Option A

4. Quick Check:

   Always use data= for DataFrame input [OK]

Hint: Always use data= when passing DataFrame to regplot [OK]

Common Mistakes:

• Omitting data= keyword
• Thinking plt.show() omission causes error
• Misunderstanding column name types

5. You have a dataset with variables age and income. You want to plot a scatter plot with a regression line but exclude the confidence interval shading. Which sns.regplot() parameter should you set to False to achieve this?

hard

A. scatter

B. fit_reg

C. ci

D. line_kws

Solution

1. Step 1: Identify parameter for confidence interval

   The ci parameter controls the confidence interval shading around the regression line in sns.regplot().

2. Step 2: Set ci to False to remove shading

   Setting ci=False disables the confidence interval shading, leaving only the regression line and scatter points.

3. Final Answer:

   ci -> Option C

4. Quick Check:

   ci=False removes confidence interval shading [OK]

Hint: Set ci=False to hide confidence interval shading [OK]

Common Mistakes:

• Using fit_reg instead of ci
• Trying to remove scatter points instead
• Misusing line_kws parameter