Filling In the Gaps

Sometimes we only have a few data points, but we want to estimate values in between or find a smooth curve that fits our data.

Interpolation

• Linear Interpolation: Connects data points with straight lines.
• Polynomial Interpolation: Uses curves to fit more complex patterns.

Curve Fitting

• Finds a function (like a line or parabola) that best fits the data, often using the least squares method.

Why Is This Useful?

• Allows predictions where no data exists.
• Makes sense of noisy or incomplete data.

Everyday Impact

From predicting tomorrow’s temperature to creating smooth graphics in video games, interpolation and curve fitting are everywhere.