Math Solutions

(Step-by-Step) 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

Question: 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.

Percentage Hardwood, X Strength, Y
10 160
15 171
15 175
20 182
20 184
20 181
25 188
25 193
28 195
30 200
  1. Fit a linear regression model relating strength to percentage hardwood.
  2. Test the model in part (a) for significance of regression.
  3. Find a \(95 \%\) confidence interval on the parameter \(\beta_{1}\).

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