The relationship between yield of maize, date of planting,
Chapter 0, Problem 14.8(choose chapter or problem)
The relationship between yield of maize, date of planting, and planting density was investigated in the article Development of a Model for Use in Maize Replant Decisions (Agronomy Journal [1980]: 459464). Let The regression model with both quadratic terms (y a b1x1 b2x2 b3x3 b4x4 e where and provides a good description of the relationship between y and the independent variables. a. If a 21.09, b1 .653, b2 .0022, b3 .0206, and b4 .00004, what is the population regression function? b. Use the regression function in Part (a) to determine the mean yield for a plot planted on May 6 with a density of 41,180 plants/ha. c. Would the mean yield be higher for a planting date of May 6 or May 22 (for the same density)? d. Is it legitimate to interpret b1 .653 as the true average change in yield when planting date increases by one day and the values of the other three predictors are held fixed? Why or why not? 14.
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