What are the main assumptions of linear regression?
There are several assumptions of linear regression. If any of them is violated, model predictions and interpretation may be worthless or misleading.
1) Linear relationship between features and target variable.
2) Additivity means that the effect of changes in one of the features on the target variable does not depend on values of other features. For example, a model for predicting revenue of a company have of two features - the number of items a sold and the number of items b sold. When company sells more items a the revenue increases and this is independent of the number of items b sold. But, if customers who buy a stop buying b, the additivity assumption is violated.
3) Features are not correlated (no collinearity) since it can be difficult to separate out the individual effects of collinear features on the target variable.
4) Errors are independently and identically normally distributed (yi = B0 + B1*x1i + ... + errori):
i) No correlation between errors (consecutive errors in the case of time series data).
ii) Constant variance of errors - homoscedasticity. For example, in case of time series, seasonal patterns can increase errors in seasons with higher activity.
iii) Errors are normaly distributed, otherwise some features will have more influence on the target variable than to others. If the error distribution is significantly non-normal, confidence intervals may be too wide or too narrow.
There are several assumptions of linear regression. If any of them is violated, model predictions and interpretation may be worthless or misleading.
1) Linear relationship between features and target variable.
2) Additivity means that the effect of changes in one of the features on the target variable does not depend on values of other features. For example, a model for predicting revenue of a company have of two features - the number of items a sold and the number of items b sold. When company sells more items a the revenue increases and this is independent of the number of items b sold. But, if customers who buy a stop buying b, the additivity assumption is violated.
3) Features are not correlated (no collinearity) since it can be difficult to separate out the individual effects of collinear features on the target variable.
4) Errors are independently and identically normally distributed (yi = B0 + B1*x1i + ... + errori):
i) No correlation between errors (consecutive errors in the case of time series data).
ii) Constant variance of errors - homoscedasticity. For example, in case of time series, seasonal patterns can increase errors in seasons with higher activity.
iii) Errors are normaly distributed, otherwise some features will have more influence on the target variable than to others. If the error distribution is significantly non-normal, confidence intervals may be too wide or too narrow.
โค2
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SQL: https://t.iss.one/sqlanalyst
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Data Science Cheatsheet ๐ช
โค3
Machine Learning โ Essential Concepts ๐
1๏ธโฃ Types of Machine Learning
Supervised Learning โ Uses labeled data to train models.
Examples: Linear Regression, Decision Trees, Random Forest, SVM
Unsupervised Learning โ Identifies patterns in unlabeled data.
Examples: Clustering (K-Means, DBSCAN), PCA
Reinforcement Learning โ Models learn through rewards and penalties.
Examples: Q-Learning, Deep Q Networks
2๏ธโฃ Key Algorithms
Regression โ Predicts continuous values (Linear Regression, Ridge, Lasso).
Classification โ Categorizes data into classes (Logistic Regression, Decision Tree, SVM, Naรฏve Bayes).
Clustering โ Groups similar data points (K-Means, Hierarchical Clustering, DBSCAN).
Dimensionality Reduction โ Reduces the number of features (PCA, t-SNE, LDA).
3๏ธโฃ Model Training & Evaluation
Train-Test Split โ Dividing data into training and testing sets.
Cross-Validation โ Splitting data multiple times for better accuracy.
Metrics โ Evaluating models with RMSE, Accuracy, Precision, Recall, F1-Score, ROC-AUC.
4๏ธโฃ Feature Engineering
Handling missing data (mean imputation, dropna()).
Encoding categorical variables (One-Hot Encoding, Label Encoding).
Feature Scaling (Normalization, Standardization).
5๏ธโฃ Overfitting & Underfitting
Overfitting โ Model learns noise, performs well on training but poorly on test data.
Underfitting โ Model is too simple and fails to capture patterns.
Solution: Regularization (L1, L2), Hyperparameter Tuning.
6๏ธโฃ Ensemble Learning
Combining multiple models to improve performance.
Bagging (Random Forest)
Boosting (XGBoost, Gradient Boosting, AdaBoost)
7๏ธโฃ Deep Learning Basics
Neural Networks (ANN, CNN, RNN).
Activation Functions (ReLU, Sigmoid, Tanh).
Backpropagation & Gradient Descent.
8๏ธโฃ Model Deployment
Deploy models using Flask, FastAPI, or Streamlit.
Model versioning with MLflow.
Cloud deployment (AWS SageMaker, Google Vertex AI).
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1๏ธโฃ Types of Machine Learning
Supervised Learning โ Uses labeled data to train models.
Examples: Linear Regression, Decision Trees, Random Forest, SVM
Unsupervised Learning โ Identifies patterns in unlabeled data.
Examples: Clustering (K-Means, DBSCAN), PCA
Reinforcement Learning โ Models learn through rewards and penalties.
Examples: Q-Learning, Deep Q Networks
2๏ธโฃ Key Algorithms
Regression โ Predicts continuous values (Linear Regression, Ridge, Lasso).
Classification โ Categorizes data into classes (Logistic Regression, Decision Tree, SVM, Naรฏve Bayes).
Clustering โ Groups similar data points (K-Means, Hierarchical Clustering, DBSCAN).
Dimensionality Reduction โ Reduces the number of features (PCA, t-SNE, LDA).
3๏ธโฃ Model Training & Evaluation
Train-Test Split โ Dividing data into training and testing sets.
Cross-Validation โ Splitting data multiple times for better accuracy.
Metrics โ Evaluating models with RMSE, Accuracy, Precision, Recall, F1-Score, ROC-AUC.
4๏ธโฃ Feature Engineering
Handling missing data (mean imputation, dropna()).
Encoding categorical variables (One-Hot Encoding, Label Encoding).
Feature Scaling (Normalization, Standardization).
5๏ธโฃ Overfitting & Underfitting
Overfitting โ Model learns noise, performs well on training but poorly on test data.
Underfitting โ Model is too simple and fails to capture patterns.
Solution: Regularization (L1, L2), Hyperparameter Tuning.
6๏ธโฃ Ensemble Learning
Combining multiple models to improve performance.
Bagging (Random Forest)
Boosting (XGBoost, Gradient Boosting, AdaBoost)
7๏ธโฃ Deep Learning Basics
Neural Networks (ANN, CNN, RNN).
Activation Functions (ReLU, Sigmoid, Tanh).
Backpropagation & Gradient Descent.
8๏ธโฃ Model Deployment
Deploy models using Flask, FastAPI, or Streamlit.
Model versioning with MLflow.
Cloud deployment (AWS SageMaker, Google Vertex AI).
Join our WhatsApp channel: https://whatsapp.com/channel/0029Va8v3eo1NCrQfGMseL2D
โค2
๐ Become an Agentic AI Builder โ Free 12โWeek Certification by Ready Tensor
Ready Tensorโs Agentic AI Developer Certification is a free, project first 12โweek program designed to help you build and deploy real-world agentic AI systems. You'll complete three portfolio-ready projects using tools like LangChain, LangGraph, and vector databases, while deploying production-ready agents with FastAPI or Streamlit.
The course focuses on developing autonomous AI agents that can plan, reason, use memory, and act safely in complex environments. Certification is earned not by watching lectures, but by building โ each project is reviewed against rigorous standards.
You can start anytime, and new cohorts begin monthly. Ideal for developers and engineers ready to go beyond chat prompts and start building true agentic systems.
๐ Apply now: https://www.readytensor.ai/agentic-ai-cert/
Ready Tensorโs Agentic AI Developer Certification is a free, project first 12โweek program designed to help you build and deploy real-world agentic AI systems. You'll complete three portfolio-ready projects using tools like LangChain, LangGraph, and vector databases, while deploying production-ready agents with FastAPI or Streamlit.
The course focuses on developing autonomous AI agents that can plan, reason, use memory, and act safely in complex environments. Certification is earned not by watching lectures, but by building โ each project is reviewed against rigorous standards.
You can start anytime, and new cohorts begin monthly. Ideal for developers and engineers ready to go beyond chat prompts and start building true agentic systems.
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โค2
Jupyter Notebooks are essential for data analysts working with Python.
Hereโs how to make the most of this great tool:
1. ๐ข๐ฟ๐ด๐ฎ๐ป๐ถ๐๐ฒ ๐ฌ๐ผ๐๐ฟ ๐๐ผ๐ฑ๐ฒ ๐๐ถ๐๐ต ๐๐น๐ฒ๐ฎ๐ฟ ๐ฆ๐๐ฟ๐๐ฐ๐๐๐ฟ๐ฒ:
Break your notebook into logical sections using markdown headers. This helps you and your colleagues navigate the notebook easily and understand the flow of analysis. You could use headings (#, ##, ###) and bullet points to create a table of contents.
2. ๐๐ผ๐ฐ๐๐บ๐ฒ๐ป๐ ๐ฌ๐ผ๐๐ฟ ๐ฃ๐ฟ๐ผ๐ฐ๐ฒ๐๐:
Add markdown cells to explain your methodology, code, and guidelines for the user. This Enhances the readability and makes your notebook a great reference for future projects. You might want to include links to relevant resources and detailed docs where necessary.
3. ๐จ๐๐ฒ ๐๐ป๐๐ฒ๐ฟ๐ฎ๐ฐ๐๐ถ๐๐ฒ ๐ช๐ถ๐ฑ๐ด๐ฒ๐๐:
Leverage ipywidgets to create interactive elements like sliders, dropdowns, and buttons. With those, you can make your analysis more dynamic and allow users to explore different scenarios without changing the code. Create widgets for parameter tuning and real-time data visualization.
๐ฐ. ๐๐ฒ๐ฒ๐ฝ ๐๐ ๐๐น๐ฒ๐ฎ๐ป ๐ฎ๐ป๐ฑ ๐ ๐ผ๐ฑ๐๐น๐ฎ๐ฟ:
Write reusable functions and classes instead of long, monolithic code blocks. This will improve the code maintainability and efficiency of your notebook. You should store frequently used functions in separate Python scripts and import them when needed.
5. ๐ฉ๐ถ๐๐๐ฎ๐น๐ถ๐๐ฒ ๐ฌ๐ผ๐๐ฟ ๐๐ฎ๐๐ฎ ๐๐ณ๐ณ๐ฒ๐ฐ๐๐ถ๐๐ฒ๐น๐:
Utilize libraries like Matplotlib, Seaborn, and Plotly for your data visualizations. These clear and insightful visuals will help you to communicate your findings. Make sure to customize your plots with labels, titles, and legends to make them more informative.
6. ๐ฉ๐ฒ๐ฟ๐๐ถ๐ผ๐ป ๐๐ผ๐ป๐๐ฟ๐ผ๐น ๐ฌ๐ผ๐๐ฟ ๐ก๐ผ๐๐ฒ๐ฏ๐ผ๐ผ๐ธ๐:
Jupyter Notebooks are great for exploration, but they often lack systematic version control. Use tools like Git and nbdime to track changes, collaborate effectively, and ensure that your work is reproducible.
7. ๐ฃ๐ฟ๐ผ๐๐ฒ๐ฐ๐ ๐ฌ๐ผ๐๐ฟ ๐ก๐ผ๐๐ฒ๐ฏ๐ผ๐ผ๐ธ๐:
Clean and secure your notebooks by removing sensitive information before sharing. This helps to prevent the leakage of private data. You should consider using environment variables for credentials.
Keeping these techniques in mind will help to transform your Jupyter Notebooks into great tools for analysis and communication.
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Hereโs how to make the most of this great tool:
1. ๐ข๐ฟ๐ด๐ฎ๐ป๐ถ๐๐ฒ ๐ฌ๐ผ๐๐ฟ ๐๐ผ๐ฑ๐ฒ ๐๐ถ๐๐ต ๐๐น๐ฒ๐ฎ๐ฟ ๐ฆ๐๐ฟ๐๐ฐ๐๐๐ฟ๐ฒ:
Break your notebook into logical sections using markdown headers. This helps you and your colleagues navigate the notebook easily and understand the flow of analysis. You could use headings (#, ##, ###) and bullet points to create a table of contents.
2. ๐๐ผ๐ฐ๐๐บ๐ฒ๐ป๐ ๐ฌ๐ผ๐๐ฟ ๐ฃ๐ฟ๐ผ๐ฐ๐ฒ๐๐:
Add markdown cells to explain your methodology, code, and guidelines for the user. This Enhances the readability and makes your notebook a great reference for future projects. You might want to include links to relevant resources and detailed docs where necessary.
3. ๐จ๐๐ฒ ๐๐ป๐๐ฒ๐ฟ๐ฎ๐ฐ๐๐ถ๐๐ฒ ๐ช๐ถ๐ฑ๐ด๐ฒ๐๐:
Leverage ipywidgets to create interactive elements like sliders, dropdowns, and buttons. With those, you can make your analysis more dynamic and allow users to explore different scenarios without changing the code. Create widgets for parameter tuning and real-time data visualization.
๐ฐ. ๐๐ฒ๐ฒ๐ฝ ๐๐ ๐๐น๐ฒ๐ฎ๐ป ๐ฎ๐ป๐ฑ ๐ ๐ผ๐ฑ๐๐น๐ฎ๐ฟ:
Write reusable functions and classes instead of long, monolithic code blocks. This will improve the code maintainability and efficiency of your notebook. You should store frequently used functions in separate Python scripts and import them when needed.
5. ๐ฉ๐ถ๐๐๐ฎ๐น๐ถ๐๐ฒ ๐ฌ๐ผ๐๐ฟ ๐๐ฎ๐๐ฎ ๐๐ณ๐ณ๐ฒ๐ฐ๐๐ถ๐๐ฒ๐น๐:
Utilize libraries like Matplotlib, Seaborn, and Plotly for your data visualizations. These clear and insightful visuals will help you to communicate your findings. Make sure to customize your plots with labels, titles, and legends to make them more informative.
6. ๐ฉ๐ฒ๐ฟ๐๐ถ๐ผ๐ป ๐๐ผ๐ป๐๐ฟ๐ผ๐น ๐ฌ๐ผ๐๐ฟ ๐ก๐ผ๐๐ฒ๐ฏ๐ผ๐ผ๐ธ๐:
Jupyter Notebooks are great for exploration, but they often lack systematic version control. Use tools like Git and nbdime to track changes, collaborate effectively, and ensure that your work is reproducible.
7. ๐ฃ๐ฟ๐ผ๐๐ฒ๐ฐ๐ ๐ฌ๐ผ๐๐ฟ ๐ก๐ผ๐๐ฒ๐ฏ๐ผ๐ผ๐ธ๐:
Clean and secure your notebooks by removing sensitive information before sharing. This helps to prevent the leakage of private data. You should consider using environment variables for credentials.
Keeping these techniques in mind will help to transform your Jupyter Notebooks into great tools for analysis and communication.
I have curated the best interview resources to crack Python Interviews ๐๐
https://whatsapp.com/channel/0029VaiM08SDuMRaGKd9Wv0L
Hope you'll like it
Like this post if you need more resources like this ๐โค๏ธ
โค3
Coding Project Ideas with AI ๐๐
1. Sentiment Analysis Tool: Develop a tool that uses AI to analyze the sentiment of text data, such as social media posts, customer reviews, or news articles. The tool could classify the sentiment as positive, negative, or neutral.
2. Image Recognition App: Create an app that uses AI image recognition algorithms to identify objects, scenes, or people in images. This could be useful for applications like automatic photo tagging or security surveillance.
3. Chatbot Development: Build a chatbot using AI natural language processing techniques to interact with users and provide information or assistance on a specific topic. You could integrate the chatbot into a website or messaging platform.
4. Recommendation System: Develop a recommendation system that uses AI algorithms to suggest products, movies, music, or other items based on user preferences and behavior. This could enhance the user experience on e-commerce platforms or streaming services.
5. Fraud Detection System: Create a fraud detection system that uses AI to analyze patterns and anomalies in financial transactions data. The system could help identify potentially fraudulent activities and prevent financial losses.
6. Health Monitoring App: Build an app that uses AI to monitor health data, such as heart rate, sleep patterns, or activity levels, and provide personalized recommendations for improving health and wellness.
7. Language Translation Tool: Develop a language translation tool that uses AI machine translation algorithms to translate text between different languages accurately and efficiently.
8. Autonomous Driving System: Work on a project to develop an autonomous driving system that uses AI computer vision and sensor data processing to navigate vehicles safely and efficiently on roads.
9. Personalized Content Generator: Create a tool that uses AI natural language generation techniques to generate personalized content, such as articles, emails, or marketing messages tailored to individual preferences.
10. Music Recommendation Engine: Build a music recommendation engine that uses AI algorithms to analyze music preferences and suggest playlists or songs based on user tastes and listening habits.
Join for more: https://t.iss.one/Programming_experts
ENJOY LEARNING ๐๐
1. Sentiment Analysis Tool: Develop a tool that uses AI to analyze the sentiment of text data, such as social media posts, customer reviews, or news articles. The tool could classify the sentiment as positive, negative, or neutral.
2. Image Recognition App: Create an app that uses AI image recognition algorithms to identify objects, scenes, or people in images. This could be useful for applications like automatic photo tagging or security surveillance.
3. Chatbot Development: Build a chatbot using AI natural language processing techniques to interact with users and provide information or assistance on a specific topic. You could integrate the chatbot into a website or messaging platform.
4. Recommendation System: Develop a recommendation system that uses AI algorithms to suggest products, movies, music, or other items based on user preferences and behavior. This could enhance the user experience on e-commerce platforms or streaming services.
5. Fraud Detection System: Create a fraud detection system that uses AI to analyze patterns and anomalies in financial transactions data. The system could help identify potentially fraudulent activities and prevent financial losses.
6. Health Monitoring App: Build an app that uses AI to monitor health data, such as heart rate, sleep patterns, or activity levels, and provide personalized recommendations for improving health and wellness.
7. Language Translation Tool: Develop a language translation tool that uses AI machine translation algorithms to translate text between different languages accurately and efficiently.
8. Autonomous Driving System: Work on a project to develop an autonomous driving system that uses AI computer vision and sensor data processing to navigate vehicles safely and efficiently on roads.
9. Personalized Content Generator: Create a tool that uses AI natural language generation techniques to generate personalized content, such as articles, emails, or marketing messages tailored to individual preferences.
10. Music Recommendation Engine: Build a music recommendation engine that uses AI algorithms to analyze music preferences and suggest playlists or songs based on user tastes and listening habits.
Join for more: https://t.iss.one/Programming_experts
ENJOY LEARNING ๐๐
โค1
Quick SQL functions cheat sheet for beginners
Aggregate Functions
COUNT(*): Counts rows.
SUM(column): Total sum.
AVG(column): Average value.
MAX(column): Maximum value.
MIN(column): Minimum value.
String Functions
CONCAT(a, b, โฆ): Concatenates strings.
SUBSTRING(s, start, length): Extracts part of a string.
UPPER(s) / LOWER(s): Converts string case.
TRIM(s): Removes leading/trailing spaces.
Date & Time Functions
CURRENT_DATE / CURRENT_TIME / CURRENT_TIMESTAMP: Current date/time.
EXTRACT(unit FROM date): Retrieves a date part (e.g., year, month).
DATE_ADD(date, INTERVAL n unit): Adds an interval to a date.
Numeric Functions
ROUND(num, decimals): Rounds to a specified decimal.
CEIL(num) / FLOOR(num): Rounds up/down.
ABS(num): Absolute value.
MOD(a, b): Returns the remainder.
Control Flow Functions
CASE: Conditional logic.
COALESCE(val1, val2, โฆ): Returns the first non-null value.
Like for more free Cheatsheets โค๏ธ
Share with credits: https://t.iss.one/sqlspecialist
Hope it helps :)
#dataanalytics
Aggregate Functions
COUNT(*): Counts rows.
SUM(column): Total sum.
AVG(column): Average value.
MAX(column): Maximum value.
MIN(column): Minimum value.
String Functions
CONCAT(a, b, โฆ): Concatenates strings.
SUBSTRING(s, start, length): Extracts part of a string.
UPPER(s) / LOWER(s): Converts string case.
TRIM(s): Removes leading/trailing spaces.
Date & Time Functions
CURRENT_DATE / CURRENT_TIME / CURRENT_TIMESTAMP: Current date/time.
EXTRACT(unit FROM date): Retrieves a date part (e.g., year, month).
DATE_ADD(date, INTERVAL n unit): Adds an interval to a date.
Numeric Functions
ROUND(num, decimals): Rounds to a specified decimal.
CEIL(num) / FLOOR(num): Rounds up/down.
ABS(num): Absolute value.
MOD(a, b): Returns the remainder.
Control Flow Functions
CASE: Conditional logic.
COALESCE(val1, val2, โฆ): Returns the first non-null value.
Like for more free Cheatsheets โค๏ธ
Share with credits: https://t.iss.one/sqlspecialist
Hope it helps :)
#dataanalytics
โค3
Top 5 Important Languages for Data Science ๐งโ๐ป๐
1. Python - 50% ๐
2. R - 20% ๐
3. SQL - 15% ๐๏ธ
4. Java - 7% โ
5. Julia - 5% ๐
6. Matlab - 3% ๐งฎ
1. Python - 50% ๐
2. R - 20% ๐
3. SQL - 15% ๐๏ธ
4. Java - 7% โ
5. Julia - 5% ๐
6. Matlab - 3% ๐งฎ
โค2๐1