Great, it looks much better now! This time, I've added more data and used a quadratic function, also known as a polynomial of degree 2.
Explanation of Polynomial Functions:
A polynomial function is a mathematical expression that consists of terms made up of a variable raised to non-negative integer powers and coefficients. For example, a polynomial of degree 2 (quadratic) takes the form:
y=ax2+bx+c
In this case:
a, b, and c are constants (coefficients),
x is the variable (input feature),
The highest power of x is 2, making it a quadratic function.
Polynomial regression extends linear regression by fitting a model that can capture more complex relationships between variables by incorporating these higher-degree terms. A quadratic (second-degree) polynomial, for example, can fit data with a curved relationship, while a linear model can only fit a straight line.
By using polynomial regression, you allow the model to fit curves rather than just straight lines, which can help in situations where the relationship between the input and output is nonlinear.