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

Now you’re on your own. include a short summary of this section with plots in your lab report. write a matlab script file to do steps (a) through (d) below. include a listing of the script file with your report. 1 the soundsc(xx,fs) function requires two arguments: the first one (xx) contains the vector of data to be played, the second argument (fs) is the sampling rate for playing the samples. in addition, soundsc(xx,fs) does automatic scaling and then calls sound(xx,fs) to actually play the signal. mcclellan, schafer, and yoder, dsp first, 2e, isbn 0-13-065562-7. prentice hall, upper saddle river, nj 07458. c 2015 pearson education, inc. 4 mcclellan, schafer and yoder, signal processing first. prentice hall, upper saddle river, new jersey, 2003. c 2003 prentice hall. (a) generate a time vector (tt) to cover a range of t that will exhibit approximately two cycles of the 4000 hz sinusoids defined in the next part, part (b). use a definition for tt similar to part 2.2(d). if we use t to denote the period of the sinusoids, define the starting time of the vector tt to be equal to t , and the ending time as ct . then the two cycles will include t d 0. finally, make sure that you have at least 25 samples per period of the sinusoidal wave. in other words, when you use the colon operator to define the time vector, make the increment small enough to generate 25 samples per period. (b) generate two 4000 hz sinusoids with arbitrary amplitude and time-shift. x1.t / d a1 cos.2