Computing wind turbine output power with linear regression.

A wind turbine manufacturer provides the power produced by the turbine (outputPwrData) given various wind speeds (windSpeedData). A straight line fits the measured output power well for mid-range wind speeds (6-12 m/s). Use linear regression to fit a first-order polynomial (straight line) to estimate output power given a mid-range input windSpeed.

Isolate the measured values used for fitting:

Assign windSpeedFitData with windSpeedData in mid range of wind speeds (6-12 m/s)

Assign outputPwrFitData with outputPwrData in mid range of wind speeds (6-12 m/s)

Calculate the first-order polynomial coefficients that fits the isolated values:

Assign outputPwrCoefs with linear regression coefficients

Make use of coefficients to calculate the value of the polynomial at input windSpeed

Assign outputPwrEst with estimate calculated using linear regression coefficients