Can you work out equation of lines of best fit on curved lines?
When dealing with curves, the proper way is to find the equation to the “curve of best fit”. Not sure if this is applicable to your level of study. In school, you are taught to fit a straight line to almost anything you plot! There are various “curve of best fit” called regression analysis. The line of best fit is actually called linear regression. For curves there are many to pick from: i) Linear regression: y = Ax + B ii) Quadratic regression: y = Ax² + Bx + C iii) Cubic regression: y = Ax³ + Bx² + Cx + D vi) Quartic regression: y = Ax⁴ + Bx³ + Cx² + Dx + E v) Exponential regression: y = Ae^(Bx) vi) Power regression: y = x^B vii) Logarithmic regression: y = A + B ln(x) viii) Logistic regression: y = C/(1 + Ae^(-Bx)) The aim is the find the constants. The internet has many links to teach you how to determine the constants. Hope that gave you some insight.
