代做Mathematical statistics代做迭代

Mathematical statistics

Using the first set of given data and the relationship known to be y = β1(Inx)2+β2exp (30/x), find the P value for testing H0: β1 = 30 and β2 = -2 against all alternatives.

Fit the best (least-square) quintic polynomial to the provided data (second set); test whether the true value of the highest-degree coefficient is zero, using 10% level of significance. When accepted, fit a polynomial whose degree is reduced by one and repeat the test until reaching the first statistically significant (i.e. non-zero) coefficient. Quote the resulting polynomial and plot it together with the scattergram of the original data.

Using the last data set provided with this assignment and assuming the following relationship

y = β0 + β1x1 + 40 + x1/β2 + β3inx2

find the best (least-square) estimate of each regression coefficients. Then, using 5% level of significance, perform. backward elimination of all non-significant; quote the final model thus reached.