Linear Algebra: A Modern Introduction
4th Edition
ISBN: 9781285463247
Author: David Poole
Publisher: Cengage Learning
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Transcribed Image Text:Establishing the properties of materials is an important problem in identifying a suitable
substitute for biodegradable materials in the fast food packaging industry. Consider the
following data on product density (g/cm3) and thermal conductivity K-factor.
Thermal
Conductivity
y
Product
Density
X
0.0480
0.1750
0.0525
0.2200
0.0540
0.2250
0.0535
0.2260
0.0570
0.250
0.0610
0.2765
For the data above perform the following:
1) Estimate the intercept and the slope write the regression line
2) Compute the residuals
3) Compute SSE and estimate the variance
4) Find the Standard error of the slope and intercept coefficients
5) Compute the coefficient of determination R2
6) Use a t-test to test the significance of the slope coefficient at a =0.05. Give p-value
and comment on your results
7) Construct the ANOVA table and test for significance of regression using p-value.
Comment your results and relationship to your results on (f)
8) Construct a 95% CI for the slope. Comment on the relationship of these CI's and
your findings in parts (f) and (g).
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