Assume that the data given in Table 3.25 satisfy the model yi = 0 + 1x1i +

Assume that the data given in Table 3.25 satisfy the model yi = β0 + β1x1i + β2x2i + εi , where εi ’s are iid N(0, σ2 ). Table 3.25 Data Set for Calculation of Confidence Interval on Regression Prediction y 12.0 11.7 9.3 11.9 11.8 9.5 9.3 7.2 8.1 8.3 7.0 6.5 5.9 x1 3 4 5 6 7 8 9 10 11 12 13 14 15 x2 6 4 2 1 0 1 2 1 -1 0 -2 -1 -3 Data Source: Franklin A. Grabill, (1976), Theory and Application of the linear model. p.