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: β1 = 0 versus HI: β1 > 0. Can you conclude that diameter is useful in predicting volume? Use the a = 0.01 level of significance.

Transcribed Image Text:

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