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Biology and Environmental Science Agriculture researchers recently investigated the relationship…

Biology and Environmental Science Agriculture researchers recently investigated the relationship between wheat yield and wind speed. A random sample of wheat-field plots was obtained. The mean daily wind speed over the growing period (x, in m/s) was recorded for each field, along with the yield (y, in bushels per acre). The estimated regression line is y = 50.052 – 1.103x.

a. Compute the residuals, and verify that they sum to 0.

b. Carefully sketch a graph of the residuals versus the predictor variable (wind speed). Is there any evidence that the simple linear regression assumptions are violated? Justify your answer.