11.33 Lawton (Journal of Pressure Vessel Technology, 2003) describes experiments conducted to determine temperature and heat transfer at the bore surface of the barrel at or near the commencement of rifling and to support the assessment of new ammunition for the 155 mm gun. The wear rate of propellant (m/s) and the maximum bore temperature (C) were as shown in shown in table below.

a Develop a model to predict the wear rate as a function of the maximum bore temperature.
b Develop confidence and prediction bonds.

c Estimate the mean wear rate for the maximum bore temperature 900C. Use a 5%
error rate.
d Predict the wear rate for the maximum bore temperature 900C. Use a 5% error rate.

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Firing Temp Rate Firing Temp Rate 1 975 0.14 14 815 0.045 234 2 960 0.14 15 790 0.040 975 0.13 16 895 0.044 4 965 0.12 17 950 0.044 5 960 0.11 18 925 0.042 6 955 0.081 19 885 0.040 7 950 0.078 20 895 0.034 8 850 0.067 21 815 0.030 9 855 0.065 10 820 0.055 11 830 0.055 12 895 0.056 13 925 0.055 22222 805 0.029 23 825 0.027 24 820 0.026 25 725 0.028 26 675 0.020