Experimental measurements are taken from a physical measurem

Experimental measurements are taken from a physical measurement system that can be modeled as y = mx + b. The experimental data pairs (x, y) are: (1.00, 2.10), (2.00, 2.91), (3.00, 3.89), (4.00, 5.12), (5.00, 6.09). Find the coefficients (m, b) that fit the model using the method of least squares. Calculate the standard error of the fit and the 95% confidence band for the curve fit. Plot the data points and the confidence interval for the case of a well-controlled x.

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