Your question is Curve Fitting and Regression. Take a moment with it on the right.
Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).
Describe a time you fit different functional forms to 2D datasets, using numpy and scikit-learn to compare models like linear, polynomial, and power-law fits.
Explain how you transformed the data, selected polynomial degrees, evaluated models using cross-validation, and checked residual assumptions. Discuss how you handled nonpositive values, outliers, heteroskedasticity, overfitting, and extrapolation, and state which model you selected and why.