12.14 Eleven student teachers took part in an evaluation program designed to measure teacher effectiveness and determine what factors are important. The response measure was a quantitative evaluation of the teacher. The regressor variables were scores on four standardized tests given to each teacher. The data are as follows:

y x1 x2 x3 x4 410 569 425 344 324 505 235 501 400 575 434 69 57 77 81 0

53 77 76 65 97 76 125 131 141 122 141 152 141 132 157 166 141 59 31.75 80.5 75 49 49.35 60.75 41.25 50.75 32.25 54.5 55.66 63.97 45.32 46.67 41.21 43.83 41.61 64.57 42.41 57.95 57.9 Estimate the multiple linear regression equation,

μY |x1 ;x2 ;x3 ;x4 = β0 + β1x1 + β2x2 + β3x3 + β4x4 .