12.80 Oatmeal, Anyone? An agricultural experimenter, investigating the effect of the amount of nitrogen x applied in 45 kg per hectare on the yield of oats y measured in 35 litres per hectare, 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 0.05.

d. Predict the expected yield of oats with 95% confidence if 285 kg of nitrogen per hectare are applied.

e. Estimate the average increase in yield for an increase of 115 kg of nitrogen per hectare with 99% confidence.

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

Transcribed Image Text:

X 1 234 y 22 38 57 68 19 41 54 65