(Data file: Rp data) The data in this file has a response y and six regressors x 1 , . . ., x 6 . The data are artificial, to make a few points. First draw a scatterplot matrix of all data and...

(Data file: Rp data) The data in this file has a response y and six regressors x₁, . . ., x₆. The data are artificial, to make a few points.

First draw a scatterplot matrix of all data and comment. Is there anything strange?

Fit the ols regression y ∼ x1 + x2 + x3 + x4 + x5 + x6. Is there anything strange?

Draw a plot of residuals versus fitted values. Is there anything strange? See Stefanski (2007) if you want to find out how this data set came about.