Question: 33. You decide to use both the Sum Square and the Endpoints method of linearization to linearize a Type B thermocouple curve between 1000 C

33. You decide to use both the Sum Square and the Endpoints method of linearization to linearize a Type B thermocouple curve between 1000 C and 1050%. A screen shot of the data points from the www.NIST.gov web site is shown below. The slope is calculated using the formula for slope m using both the least squares and endpoints methods. The xi and yi values are from the thermocouple table, and the xbar and ybar values are the arithmetic averages of the xi and yi values. X refers to temperature and y refers to voltage. ITS-90 Table for type B thermocouple .C 1 2 3 4 5 6 7 8 9 10 Thermoelectric Voltage in mV 1000 4.834 4.843 4.853 4.862 4.871 4.880 4.889 4.898 4.908 4.917 4.926 1010 4.926 4.935 4.944 4.954 4.963 4.972 4.981 4.990 5.000 5.009 5.018 1020 5.018 5.027 5.037 5.046 5.055 5.065 5.074 5.083 5.092 5.102 5.111 1030 5.111 5.120 5.130 5.139 5.148 5.158 5.167 5.176 5.186 5.195 5.205 1040 5.205 5.214 5.223 5.233 5.242 5.252 5.261 5.270 5.280 5.289 5.299 1050 5.299 5.308 5.318 5.327 5.337 5.346 5.356 5.365 5.375 5.384 5.394 1060 5.394 5.403 5.413 5.422 5.432 5.441 5.451 5.460 5.470 5.480 5.489 1070 5.489 5.499 5.508 5.518 5.528 5.537 5.547 5.556 5.566 5.576 5.585 1080 5.585 5.595 5.605 5.614 5.624 5.634 5.643 5.653 5.663 5.672 5.682 1090 5.682 5.692 5.702 5.711 5.721 5.731 5.740 5.750 5.760 5.770 5.780 What is the absolute value of the error in millivolts at 1025 C using the Endpoints Method relative to directly reading the voltage off the ITS-90 table? (Type in two-decimal number, where this number is the multiplier of 10-3)

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