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The table gives the weight a (thousands of pounds) and available heat energy y (million BTU) of a standard cord of various species of wood typically used for heating. Perform a complete analysis of the data in analogy with the discussion in this section (that is, make a scatter plot, do preliminary computations, find the least squares regression line, find SSE, se, and r, and so on). In the hypothesis test, use as the alternative hypothesis B1 > 0, and test at the 5% level of significance. Use confidence level 95% for the confidence interval for B. Construct 95% confidence and predictions intervals at æp = 5 at the end. x 3.37 3.50 4.29 4.00 4.64 y 23.6 17.5 20.1 21.6 28.1 x 4.99 4.94 5.48 3.26 4.16 y 25.3 27.0 30.7 18.9 20.7

The table gives the weight a (thousands of pounds) and available heat energy y (million BTU) of a standard cord of various species of wood typically used for heating. Perform a complete analysis of the data in analogy with the discussion in this section (that is, make a scatter plot, do preliminary computations, find the least squares regression line, find SSE, se, and r, and so on). In the hypothesis test, use as the alternative hypothesis B1 > 0, and test at the 5% level of significance. Use confidence level 95% for the confidence interval for B. Construct 95% confidence and predictions intervals at æp = 5 at the end. x 3.37 3.50 4.29 4.00 4.64 y 23.6 17.5 20.1 21.6 28.1 x 4.99 4.94 5.48 3.26 4.16 y 25.3 27.0 30.7 18.9 20.7

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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The table gives the weight r (thousands of pounds) and available heat energy y (million BTU) of a standard cord of various species of wood typically used for heating. Perform a complete analysis of the data in analogy with the discussion in this section (that is, make a scatter plot, do preliminary computations, find the least squares regression line, find SSE, se, and r, and so on). In the hypothesis test, use as the alternative hypothesis B, > 0, and test at the 5% level of significance. Use confidence level 95% for the confidence interval for B1. Construct 95% confidence and predictions intervals at xp = 5 at the end. x 3.37 3.50 4.29 4.00 4.64 y 23.6 17.5 20.1 21.6 28.1 x 4.99 4.94 5.48 3.26 4.16 y 25.3 27.0 30.7 18.9 20.7
Transcribed Image Text:The table gives the weight r (thousands of pounds) and available heat energy y (million BTU) of a standard cord of various species of wood typically used for heating. Perform a complete analysis of the data in analogy with the discussion in this section (that is, make a scatter plot, do preliminary computations, find the least squares regression line, find SSE, se, and r, and so on). In the hypothesis test, use as the alternative hypothesis B, > 0, and test at the 5% level of significance. Use confidence level 95% for the confidence interval for B1. Construct 95% confidence and predictions intervals at xp = 5 at the end. x 3.37 3.50 4.29 4.00 4.64 y 23.6 17.5 20.1 21.6 28.1 x 4.99 4.94 5.48 3.26 4.16 y 25.3 27.0 30.7 18.9 20.7
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