Introduction
Regression analysis is a powerful statistical method that helps us understand relationships between variables and make predictions based on data.
Yeh dependent variable aur ek ya zyada independent variables ke beech ka relationship model karta hai, jo decision-making mein valuable insights de sakta hai.
Regression Analysis :
The main goal of regression analysis is to establish a mathematical relationship.
Dependent variable woh hota hai jise hum predict ya explain karna chahte hain, jabki independent variable(s) woh factors hain jo dependent variable ko influence karte hain.
Ek tarah se dekha jaye, regression analysis ek tool hai jo humein data ke patterns samajhne mein madad karta hai.
Regression Analysis types:
Regression analysis ke kai types hain, har ek alag data aur relationships ke liye suited hai.
1.Linear Regression
2.Logistic Regression
Logistic regression tab use hota hai jab dependent variable categorical ho, aksar binary.Jaise agar humein predict karna ho ki koi customer product purchase karega ya nahi based on income aur age.Agar model probability 0.8 predict karta hai, iska matlab hai ki customer ke purchase karne ka 80% chance hai.Iska matlab agar humare paas sahi data hai, toh hum acche predictions kar sakte hain.
3.Polynomial Regression
Jab variables ke beech relationship linear nahi hota, tab polynomial regression use hota hai.Jaise agar humein temperature aur ice cream sales ke beech relationship model karna ho, jo linear nahi hai.Yeh un situations mein kaam aata hai jahan linear relationship nahi hota.
4.Ridge Regression
Ridge regression un situations mein use hota hai jahan multicollinearity hoti hai, matlab independent variables highly correlated hote hain.Jaise agar hum student performance ko study time, attendance, aur class participation ke basis par predict karte hain.Yeh humein stable predictions dene mein madad karta hai jab variables correlated hote hain.
5.Lasso Regression
Lasso regression bhi ridge regression ki tarah hai, lekin yeh coefficients ke absolute values par focus karta hai.Jaise house prices ko predict karne ke liye Lasso model kuch coefficients ko zero bana sakta hai.Is tarah se hum model ko simplify kar sakte hain aur sirf zaroori features ko rakh sakte hain.
6.Elastic Net Regression
Elastic Net regression ridge aur lasso regression dono ke strengths ko combine karta hai.Yeh un situations mein useful hai jab multiple features correlated hote hain.Is approach se hum variable selection aur stabilization dono kar sakte hain, jo regression analysis ko versatile banata hai.
7.Stepwise Regression
Stepwise regression ek method hai jahan predictive variables ka selection automatic procedure se hota hai.Forward selection ya backward elimination ke through yeh kiya ja sakta hai.Yeh process humein sabse significant predictors identify karne mein madad karta hai, jo model interpretability ko improve karta hai.
Applications of Regression Analysis
Regression analysis ka istemal kai fields mein hota hai:
Economics: Understanding the relationship between income levels and consumer spending.
Healthcare: Predicting patient outcomes based on treatment variables and demographic factors.
Marketing: Evaluating the impact of advertising on sales and customer engagement.
Finance: Assessing risks and returns based on multiple financial indicators.