An agricultural scientist planted alfalfa on several plots of land, identical except for the soilpH. Fol-lowing are the dry matter yields (in pounds per acre) for each plot.pH4.64.85.25.45.65.86Yield1056183316291852178326472131a) Construct a scatterplot of yield (y) versus pH (x). Verify that a linear model is appropriate.b) Compute the least-squares line for predicting yield from pH.c) Compute the fitted value and the residual for each point.d) If the pH is increased by 0.1, by how much would you predict the yield to increase ordecrease?e) Predict the yield for a pH of 5.5.f) Can the least-squares line be used to predict the yield for a pH of 7? If so, predict the yield.If not, explain why not.g) For what pH would you predict a yield of 1500 pounds per acre?

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Answered: An agricultural scientist planted…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Please answer both multiple choice questions below. a.) A linear regression of age (x) on blood lead levels (y) is performed in a sample of men who have worked in factories that manufacture car batteries. The residual plots suggest there is still a pattern remaining, and you decide to add a cubic term for age into the model. Which of the following models is now most appropriate? Blood lead levels = α+ β21(age) + ε, ε ~iid N(0, σ2) Blood lead levels = α+ β1(age3) + ε2, ε ~ iid N(0, σ2) Blood lead levels = α+ β1(age) + β2 (age2) + ε, ε ~iid N(0, σ2) Blood lead levels = α+ β1(age) + β2 (age2) + β1 (age3) + ε, ε ~iid N(0, σ2) b.) A study has been conducted to analyze the sensitivity and specificity of a screening test. If the area under the ROC curve is 1: The screening test is very helpful. The screening test is not helpful. The screening test is somewhat helpful. Helpfulness cannot be determined from the information given.
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