8.3 Data have been generated that satisfy the equation yij = ????0i + ????1ixij + ????ij. (8.32)

The values in this equation are specified as follows:

• the ????0i are values of a random variable B0 that has the distribution B0 ∼ N(2.65, 0.282)

• the ????1i are values of a random variable B1 that has the distribution B1 ∼ N(0.044, 0.00722)

• the xij are observations of a random variable X that has the distribution X ∼ N(151, 412)

• the ????ij are values of a random variable E that has the distribution E ∼ N(0, 0.892)

• the yij are observations of a variable Y.

All the random variables except Y are mutually independent. Values of B0, B1, X and Y for i=1…1000, j=1…10 are held in the file ‘multiple y v x.xlsx’ on this book’s website

(see Preface).