The tensile strength of a paper product is related to the amount of hardwood in the pulp. Ten samples are produced in the pilot plant, and the data obtained are shown in Table 4E.9.

(a) Fit a linear regression model relating strength to percentage hardwood.
(b) Test the model in part (a) for significance of regression.
(c) Find a 95% confidence interval on the parameter 1.

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TABLE 4E.9 Tensile Streneth Data for Excrcise 4.43 Percentage Percentage Strength Hardwood Strength Hardwood 10 15 15 20 20 181 188 193 195 200 160 175 182 184 20 25 25 28 30