The table below 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. Make a scatter plot, do preliminary computations, find the least squares regression line, find SSE, s_e, 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 b₁ . Construct 95% confidence and predictions intervals at x_p = 5 (i.e., 5,000 lbs) at the end.

x	3.37	3.50	4.29	4.00	4.64	4.99	4.94	5.48	3.26	4.16
y	23.6	17.5	20.1	21.6	28.1	25.3	27.0	30.7	18.9	20.7