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The article Effect of Manual Defoliation on Pole Bean Yield

The article “Effect of Manual Defoliation on Pole Bean Yield” (Journal of Economic Entomology [1984]: 1019–1023) used a quadratic regression model to describe the relationship between y = yield (kg/plot) and x = defoliation level (a proportion between 0 and 1). The estimated regression equation based on n = 24 was y^ 5 12.39 1 6.67x1 2 15.25x2 where x1 = x and x2 = x2. The article also reported that R2 for this model was .902. Does the quadratic model specify a useful relationship between y and x? Carry out the appropriate test using a .01 level of significance.

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