Two different methods can be used for measuring the temperature of the solution in a Hall cell used in aluminum smelting, a thermocouples implanted in the cell and an indirect measurement produced from an IR device. The indirect method is preferable became the thermocouples are eventually destroyed by the solution. Consider the following 10 measurements:
(a) Construct a scatter diagram for these data, letting x = thermocouple measurement and y = IR measurement.
(b) Fit a simple linear regression model.
(c) Test for significance a regression and calculate R2. What conclusions can you draw?
(d) Is there evidence to support a claim that both devices produce equivalent temperature measurements? Formulate and test an appropriate hypothesis to support this claim.
(e) Analyze the residuals and comment on model adequacy.

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Thermocouple 916 920 935 940 921 IR 924 945 934 918 921 Thermocouple 925 927 936 936 940 933 930 932 935 919 943 IR