8. Oatmeal, Anyone? An agricultural experimenter, investigating the effect of the amount of nitrogen x applied in 100 pounds per acre on the yield of oats y measured in bushels per acre, collected the following data:

a. Find the least-squares line for the data.

b. Construct the ANOVA table.

c. Is there sufficient evidence to indicate that the yield of oats is linearly related to the amount of nitrogen applied? Use a 5.05.

d. Predict the expected yield of oats with 95% confidence if 250 pounds of nitrogen per acre are applied.

e. Estimate the average increase in yield for an increase of 100 pounds of nitrogen per acre with 99% confidence.

f. Calculate r2 and explain its significance in terms of predicting y, the yield of oats.

Transcribed Image Text:

x 1 2 3 4 y 22 38 57 68 19 41 54 65