The relationship between yield of maize (a type of corn), date of planting, and planting density was investigated in an article. Let the variables be defined as follows. y = maize yield (percent) X₁ = planting date (days after April 20) X₂= planting density (10,000 plants/ha) The following regression model with both quadratic terms where x3 = x₁² and x4 = x₂² provides a good description of the relationship between y and the independent variables. y = a + B₁x₁ + B₂X₂ + B3X3 + B4X4 + e (a) If a = 21.06, B₁ = 0.651, B₂ = 0.0023, 3 = -0.0205, and 4 = 0.3, what is the population regression function? y = (b) Use the regression function in part (a) to determine the mean yield (in percent) for a plot planted on May 7 with a density of 41,184 plants/ha. (Round your answer to two decimal places.) %

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