For each of the problem, derive the general formula for general data set (xi, yi), i = 0, 1, · · ·‚m. Then apply it to t
Posted: Tue Jul 12, 2022 12:41 pm
For each of the problem, derive the general formula for general data set (xi, yi), i = 0, 1, · · ·‚m. Then apply it to the following data set: Xi -1 2 3 Yi 5/4 4/3 5/12
(c). Now, if the table is thought to conform to a relationship y = log(3x), what is the value of ß obtained by the method of least squares? Hints: There are possibly several ways of solving. There we suggest two of them. (i) Utilize the identity log ab = loga + log b; (ii) Express 3 in terms of (x, y). You are encouraged to try both. Do you get the same answer? Would you like to comment on that?
(c). Now, if the table is thought to conform to a relationship y = log(3x), what is the value of ß obtained by the method of least squares? Hints: There are possibly several ways of solving. There we suggest two of them. (i) Utilize the identity log ab = loga + log b; (ii) Express 3 in terms of (x, y). You are encouraged to try both. Do you get the same answer? Would you like to comment on that?