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Biology and Environmental Science

Agricultural research suggests that the final corn yield in bushels per acre (y) is linearly related to the number of inches between rows (x). Suppose the true regression line is y = 197.5 - 6.1x.

a. Find the expected yield when there are 15 inches between rows.

b. How much change in yield is expected if the distance between rows decreases by 2 inches?

c. Suppose σ = 3.2 bushels per acre. Find the probability that an observed value of yield is between 90 and 95 bushels per acre when rows are 17 inches apart.

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