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6. An experimenter is interested in examining the effects of two variables, nitrogen and phosphorus, on the yield of a selected variety of corn. There are three levels of each factor: 40, 50, and 60 pounds per plot for nitrogen; 10, 20, and 30 pounds per plot for phosphorus. Nitrogen 40 50 60 10 125 155 175 Phosphorus 20 145 150 160 30 190 140 125 a. Is there an interaction between Nitrogen and Phosphorus? Use R to create an interaction plot to justify your answer (Note: You will have to enter the data set into R as a matrix). b. Use R to compute the main Nitrogen and main Phosphorus effects. c. Use R to compute the interaction effects. d. Write a brief statements about what the interaction effects and interaction plot suggests about maximizing the yield of corn across the various levels of Nitrogen and Phosphorus.

6. An experimenter is interested in examining the effects of two variables, nitrogen and phosphorus, on the yield of a selected variety of corn. There are three levels of each factor: 40, 50, and 60 pounds per plot for nitrogen; 10, 20, and 30 pounds per plot for phosphorus. Nitrogen 40 50 60 10 125 155 175 Phosphorus 20 145 150 160 30 190 140 125 a. Is there an interaction between Nitrogen and Phosphorus? Use R to create an interaction plot to justify your answer (Note: You will have to enter the data set into R as a matrix). b. Use R to compute the main Nitrogen and main Phosphorus effects. c. Use R to compute the interaction effects. d. Write a brief statements about what the interaction effects and interaction plot suggests about maximizing the yield of corn across the various levels of Nitrogen and Phosphorus.

MATLAB: An Introduction with Applications
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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6. An experimenter is interested in examining the effects of two variables, nitrogen and phosphorus, on the yield of a selected variety of corn. There are three levels of each factor: 40, 50, and 60 pounds per plot for nitrogen; 10, 20, and 30 pounds per plot for phosphorus. Phosphorus 20 Nitrogen 10 30 40 125 145 190 50 155 150 140 60 175 160 125 a. Is there an interaction between Nitrogen and Phosphorus? Use R to create an interaction plot to justify your answer (Note: You will have to enter the data set into R as a matrix). b. Use R to compute the main Nitrogen and main Phosphorus effects. c. Use R to compute the interaction effects. d. Write a brief statements about what the interaction effects and interaction plot suggests about maximizing the yield of corn across the various levels of Nitrogen and Phosphorus.
Transcribed Image Text:6. An experimenter is interested in examining the effects of two variables, nitrogen and phosphorus, on the yield of a selected variety of corn. There are three levels of each factor: 40, 50, and 60 pounds per plot for nitrogen; 10, 20, and 30 pounds per plot for phosphorus. Phosphorus 20 Nitrogen 10 30 40 125 145 190 50 155 150 140 60 175 160 125 a. Is there an interaction between Nitrogen and Phosphorus? Use R to create an interaction plot to justify your answer (Note: You will have to enter the data set into R as a matrix). b. Use R to compute the main Nitrogen and main Phosphorus effects. c. Use R to compute the interaction effects. d. Write a brief statements about what the interaction effects and interaction plot suggests about maximizing the yield of corn across the various levels of Nitrogen and Phosphorus.
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