Question: How much wood is in that tree? For a sample of 12 trees the volume of lumber (in cubic meters) and the diameter (in centimeters)

How much wood is in that tree? For a sample of 12 trees the volume of lumber (in cubic meters) and the diameter (in centimeters) at a fixed height above ground level were measured. The results were as follows.

a. Compute the least-squares regression line for predicting volume (y) from diameter (x).
b. Construct a 95% confidence interval for the slope.
c. Test Ho: Î²1 = 0 versus HI: Î²1 > 0. Can you conclude that diameter is useful in predicting volume? Use the a = 0.01 level of significance.

Diameter Volume Diameter Volume 35.1 48.4 47.9 35.3 47.3 26.4 0.81 1.39 1.31 0.67 1.46 0.47 33.8 45.3 25.2 28.5 30.1 30.0 0.80 1.69 0.30 0.19 0.63 0.64

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