An experiment was conducted to investigate the effect of extrusion pressure (P) and temperature at extrusion (T) on the strength y of a new type of plastic. Two plastic specimens were prepared for each of five combinations of five combinations of pressure and temperature. The specimens were then tested in a random order and the breaking strength for each specimen was recorded. The independent variables were coded (transformed) as follows to simplify the calculations: x1 = (P-200)/10, x2 = (T-400)/25. The n=10 data points are listed in the table:y X1 X25.2 -2 25 -2 20.3 -1 -1-0.1 -1 -1-1.2 0 -2-1.1 0 -22.2 1 -12 1 -16.2 2 26.1 2 2(a) Find the least-squares prediction equation of the form y=β0 + β1x1 + β2x2 + ε. Interpret the β estimates.(b) Find SSE, s2, and s. Interpret the value of s.(c) Does the model contribute information for the prediction of y? Test using α=0.05.(d) Find a 90% confidence interval for the mean strength of the plastic for x1=-2 and x2=2.