Refer to Exercise 12. The treatments with a delivery ratio of 1:0 were controls, or blanks. It was discovered after the experiment that the high apparent levels of sorption in these controls was largely due to volatility of the trifluralin. Eliminate the control treatments from the data. a) Estimate all main effects and interactions. b) Construct an ANOVA table. You may give ranges for the P-values. c) Is the additive model plausible? Provide the value of the test statistic, its null distribution, and the P-value. d) Construct an interaction plot. Explain how the plot illustrates the degree to which interactions are present.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Refer to Exercise 12. The treatments with a delivery ratio of 1:0 were controls, or blanks. It
was discovered after the experiment that the high apparent levels of sorption in these
controls was largely due to volatility of the trifluralin. Eliminate the control treatments from
the data.
a) Estimate all main effects and interactions.
b) Construct an ANOVA table. You may give
c) Is the additive model plausible? Provide the value of the test statistic, its null
distribution, and the P-value.
d) Construct an interaction plot. Explain how the plot illustrates the degree to which
interactions are present.
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