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4· You recorded the temperature and the corresponding thermocouple voltage. The results are shown in the table below. Determine the static sensitivity (slope) of the thermocouple by using a least-squares regression analysis. Which order of polynomial fit reduces t-Syx to a minimum? Recall that for each coefficient you calculate, you lose one degree of freedom Compare at least first and second order. Select the best order for the regression, comment on the reason for your selection. (18 marks) Temperature 20 40 60 80 100 Thermocouple 1.0 Voltage (V) 2.4 3.3 3.9 Using the regression model you selected, plot the data and fit including the 95% confidence interval due to random scatter about the fit, using the uncertainty interval estimated by which considers variabilitv in both x and v. In a separate graph plot the data and fit including the 95% confidence interval estimated by ух

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