Repeat the comparison for the time series x2 and y2 (from the same data file as above), where x2 and y2 are the same as x and y, except that the 5th data point in y is replaced by an outlier in y2.
Repeat the comparison for the time series x3 and y3, where x3 and y3 are the same as x and y, except that the 5th data point in x and y is replaced by an outlier in x3 and y3.
Make scatterplots of the data points in the x-y space, the x2-y2 space and the
x3-y3 space. Also plot the linear regression line in the scatterplots.
(2) From the given data file
(MLR.mat file in Matlab 7 format or
text file), perform multiple linear regression and
stepwise regression
with predictors x1, x2, x3, x4, x5 and x6, and the response variable y. Rank the
importance of the individual predictors in their influence on y.