STA3701/012/0/2022 Question 3 [16] 3.1 The following is a data set that was collected on the yield of a chemical experiment. In this experiment, temperature, concentration and length of agitation were set by the experimenter. Yield (y) Temperature (x1) Concentration (X2) Time (X3) 22 10 20 33 40 10 40 20 36 15 40 20 33 15 40 20 26 10 40 25 37 15 40 25 37 10 50 20 40 10 50 20 42 15 20 45 15 20 39 10 25 42 10 25 45 15 25 47 15 25 Carefully consider the results given below that were obtained from the data and answer the questions that follow: 14 175 640 310 175 2275 8000 3875 X'X = 640 8000 29600 14200 310 3875 14200 6950 11.986 -0.143 -0.115 -0.220 -0.143 0.011 0 0 (xx)-1 = -0.115 0.003 -0.001 -0.220 0 -0.001 0.012 524 6665 X'Y = and e'e = 96.5571 24330 11660, (8) 3.1 Test, at 5% level of significance, the hypothesis Ho: 2B1 + 3B2 + B3 = 6. (8 ) 3.2 Give a 95% confidence interval for 21 + 382 + 3