Data Science Basic | Regression Analysis by Diljeet Singh | Learn Smarter
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Regression Analysis

Regression Analysis

Regression analysis is a statistical method employed to predict continuous outcomes by examining relationships between variables. It covers both simple and multiple linear regression techniques using Python, emphasizing model fitting and evaluation metrics for effective predictive performance.

14 sections

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Sections

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  1. 1
    What Is Regression?

    Regression is a statistical method used to predict continuous outcomes based...

  2. 2
    Simple Linear Regression

    Simple Linear Regression models the relationship between one independent...

  3. 2.1

    This section introduces the mathematical equation for simple linear...

  4. 2.2
    Python Implementation

    This section covers the implementation of linear regression in Python using...

  5. 3
    Multiple Linear Regression

    Multiple linear regression predicts a dependent variable using two or more...

  6. 3.1
    Example
  7. 3.2
    Interpretation

    This section covers the interpretation of regression analysis results,...

  8. 4
    Evaluating Regression Models

    This section covers key metrics for evaluating regression models, including...

  9. 4.1
    Metric Description

    This section outlines various metrics used to evaluate regression models,...

  10. 4.2
    Example
  11. 5
    Visualizing Regression

    This section discusses visualizing regression models using scatter plots and...

  12. 5.1
    Scatter Plot With Line

    The section discusses how to visualize regression models using scatter plots...

  13. 6
    Assumptions In Linear Regression

    This section covers the key assumptions underlying linear regression, which...

  14. 6.1
    Assumption Details

    This section covers the critical assumptions underlying linear regression...

What we have learnt

  • Regression is used to predict continuous values.
  • Simple regression involves one input, while multiple regression utilizes several independent variables.
  • Scikit-learn simplifies the processes of model fitting and evaluation.
  • Evaluation metrics such as MAE, MSE, and R-squared are essential for assessing model performance.
  • Visualizing regression and verifying model assumptions are critical for accurate predictions.

Key Concepts

-- Regression
A statistical method used to examine the relationship between variables, particularly to predict a continuous outcome.
-- Simple Linear Regression
A regression method that models the relationship between a single independent variable and a dependent variable.
-- Multiple Linear Regression
A regression approach that uses two or more independent variables to predict a dependent variable.
-- Evaluation Metrics
Statistical measures such as MAE, MSE, and R-squared that assess the performance of regression models.
-- Assumptions of Regression
Conditions such as linearity, homoscedasticity, and absence of multicollinearity that must be validated for reliable predictions.

Additional Learning Materials

Supplementary resources to enhance your learning experience.