Solved: The strength of paper used in the manufacture of
Chapter , Problem 98SE(choose chapter or problem)
The strength of paper used in the manufacture of cardboard boxes \((y)\) is related to the percentage of hardwood concentration in the original pulp \((x)\). Under controlled conditions, a pilot plant manufactures 16 samples, each from a different batch of pulp, and measures the tensile strength. The data follow:
(a) Fit a simple linear regression model to the data.
(b) Test for significance of regression using \(\alpha=0.05\).
(c) Construct a \(90 \%\) confidence interval on the slope \(\beta_{1}\).
(d) Construct a \(90 \%\) confidence interval on the intercept \(\beta_{0}\).
(e) Construct a \(95 \%\) confidence interval on the mean strength at \(x=2.5\).
(f) Analyze the residuals and comment on model adequacy.
Equation Transcription:
Text Transcription:
(y)
(x)
\alpha =0.05
90%
\beta_1
90%
\beta_0
95%
x=2.5
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