An article in Plant Disease, "Effect of Nitrogen and Potassium Fertilizer Rates on Severity of Xanthomonas Blight of Syngonium Podophyllum" (1989, Vol. 73, No. 12, pp. 972-975) showed the effect of the variable nitrogen and potassium rates on the growth o "White Butterfly" and the mean percentage of disease. Data representative of that collected in this experiment is provided in the following table. Potassium (mg/pot/wk) Nitrogen (mg/pot/wk) 30 90 120 50 60.8 60.8 45.5 43.0 60.0 58.4 150 54.4 56.1 53.8 51.6 34.5 35.5 250 42.9 40.0 36.1 37.9 33.0 33.3 (a) Use the analysis of variance to test the appropriate hypotheses with a = 0.05.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Chapter4: Writing Linear Equations
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An article in Plant Disease, "Effect of Nitrogen and Potassium Fertilizer Rates on Severity of Xanthomonas Blight of Syngonium
Podophyllum" (1989, Vol. 73, No. 12, pp. 972-975) showed the effect of the variable nitrogen and potassium rates on the growth of
"White Butterfly" and the mean percentage of disease. Data representative of that collected in this experiment is provided in the
following table.
Potassium (mg/pot/wk)
Nitrogen
(mg/pot/wk) 30
90
120
50
60.8
60.8
45.5
43.0
60.0
58.4
150
54.4
56.1
53.8
51.6
34.5
35.5
250 42.9
40.0
36.1
37.9
33.0
33.3
(a) Use the analysis of variance to test the appropriate hypotheses with a = 0.05.
The effect of the variable nitrogen
significant, the effect of the potassium rates
significant, the interaction
between the variable nitrogen and potassium rates
significant.
(b) Graphically analyze the residuals from this experiment.
The residuals
acceptable.
(c) Estimate the appropriate variance component. Round your answers to 2 decimal places.
Source
Variance component
Nitrogen
Potassium
i
Error
Transcribed Image Text:An article in Plant Disease, "Effect of Nitrogen and Potassium Fertilizer Rates on Severity of Xanthomonas Blight of Syngonium Podophyllum" (1989, Vol. 73, No. 12, pp. 972-975) showed the effect of the variable nitrogen and potassium rates on the growth of "White Butterfly" and the mean percentage of disease. Data representative of that collected in this experiment is provided in the following table. Potassium (mg/pot/wk) Nitrogen (mg/pot/wk) 30 90 120 50 60.8 60.8 45.5 43.0 60.0 58.4 150 54.4 56.1 53.8 51.6 34.5 35.5 250 42.9 40.0 36.1 37.9 33.0 33.3 (a) Use the analysis of variance to test the appropriate hypotheses with a = 0.05. The effect of the variable nitrogen significant, the effect of the potassium rates significant, the interaction between the variable nitrogen and potassium rates significant. (b) Graphically analyze the residuals from this experiment. The residuals acceptable. (c) Estimate the appropriate variance component. Round your answers to 2 decimal places. Source Variance component Nitrogen Potassium i Error
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