The table gives the weight x thousands of pounds and availab

The table gives the weight x (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, s, and r, and so on). In the hypothesis test use as the alternative hypothesis 1>0, and test at the 5% level of significance. Use confidence level 95% for the confidence interval for 1. 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

Solution