Below is the measured state-of-charge of a Li-on battery during discharge.

a) Using the least squares method, approximate the SOC = alpha + beta. t that fits these measurements.

b) Using the line equation you found, obtain the least squares approximation of the SOC values and find the error vector. Give all the results on the same graph.

 

t(s) SOC (%) 0 1600 3000 40 4250 20 2642 75 60