Question

The end-effector of a robotic manipulator was required to trace a line defined by y=c+dx in two dimensional plane. Measurement data were collected one inch apart at x = 1, 2, ..., n. and the respective values y=yl, y2, ... yn were obtained with errors. Find the best possible line that fits these data. Suppose three measurements are made and the values 2:98, 3.05, and 5.12 were measured. What is the equation of line in this case? Use your mathematical background of the course to solve this part.

Answer 1

Given, y = c+dx X=1,2,3.... . Given three measurements (n= 7 x*y 2.98 See 2.98 3.05 xk rmu - to 6.1 5.12 {x=6 Ey =lis EX=14 Exy = 24.44 15.36 11.15 24.441 linear regression 29.99 By solving the above equations in calculator 3c+ Gd - W.15 . GC + Kd = 24.44 C -1.576667, de 1.07 Equation of line *1.576667 + 1.07%

I hope this will help you.