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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).
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 that follow will be used to answer all questions on this assessment. y 101.4 117.4 117.1 106.2 1.0 1.5 1.5 1.5 y 131.9 146.9 146.8 133.9 2.0 2.0 2.2 2.4 y 111.0 123.0 125.1 145.2 X 2.5 2.5 2.8 2.8 V 134.3 144.5 143.7 146.9 3.0 3.0 3.2 3.3 1. (10 points) Fit a simple linear regression model to the data. 2. (10 points) Test for significance of regression using a = 0.05, calculate the P-value, and provide an interpretation of your findings.3. (10 points) Construct a 90% confidence interval on the slope B1. 4. (10 points) Construct a 95% confidence interval on the mean strength at x = 2.5. 5. (10 points) Sketch a graph of the residuals and comment on model adequacy
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