Write a Python program to implement Linear Regression using…

I need help with a programming and mathematics problem involving linear regression.

Please write a Python program to implement Linear Regression using the Least Squares Method (without using libraries like sklearn).

Requirements:

Take dataset input (x and y values) from the user

Calculate slope (m) and intercept (b) manually using formulas

Display the final regression equation (y = mx + b)

Predict output for a given input value

Plot the graph (optional but preferred)

Explain each step clearly

Also explain the mathematical concept behind linear regression

Formula:

m = (n?xy ?x?y) / (n?x (?x))

b = (?y m?x) / n

Example:

Input: x = [1,2,3,4], y = [2,4,5,4]

Output: Equation of line (approx)

Please provide well-commented code and clear explanation.

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