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