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
69
125
59.00
55.66
569
57
131
31.75
63.97
425
77
141
80.50
45.32
344
81
122
75.00
46.67
324
49.00
41.21
505
53
152
49.35
43.83
235
60.75
41.61
501
76
132
41.25
64.57
400
65
157
50.75
42.41
584
97
166
32.25
57.95
434
54.50
57.90
Estimate the multiple linear regression equation
μY |x1,x2,x3,x4 =β0 +β1x1 +β2x2 +β3x3 +β4x4.
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