(i) Write a program to verify the results quoted in Sect. 11.3 relating to fitting the

regression line.

(ii) Repeat the program using data for the gas problem as quoted in Table

4.1, Chap. 4. Verify that the standard error estimate, SEE is 0.2003 and that the

standard deviation of the regression coefficient, σb is 0.0958.

Although the SEE value found in case (i) (1.8342) is larger than for case (ii)

it should be remembered that in (i) we were dealing with data values of an order

102 higher. Scaling the result from (i) by 10−2 shows the SEE to be smaller by a

factor of 10, which is to be expected since the relationship between gas pressure

and volume was seen to be essentially non-linear (Fig. 4.1, Chap. 4).

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