Can someone give an abstract of the theory behind the mtd of least squares and center of gravity?

Question

I plotted a graph of logL against logT and the conatant a and b was determined.I was to compare the constant with another constant using the method of least squares and center of gravity.From the calculations, the intercept on y axis did not match with that using the formula.I will like to know why

Answer 1

No clue...but here's where you might have gone wrong (many of my students do).

Did you use log-log paper to plot L and T? If so, your constants a and b are also logs, not real numbers. I presume your constants are the slope and intercept taken from the graph.

Also, if you did least squares (regression), did you use logs or real numbers as your dependent/independent variable values?

You have to be consistent here if you want to compare your graph results with your regression results. Otherwise, you are comparing apples to oranges.