Suppose that different amounts of fertilizer had been used in different fields that were involved in trials of different types of wheat seeds. (a) Explain how the use of different amounts of fertilizer confounds the experimental analysis in the absence of randomization. (b) Considering the regression models with explanatory variables, if the amount of fertilizer were known, how could an analyst adjust for this confounding effect? (a) Choose the correct answer below. O A. Seed variety is highly correlated with fertilizer use. O B. Yield is uncorrelated with fertilizer use. OC. Differences in yield could be due to fertilizer rather than seed variety. O D. Fertilizer use is not uniform for each type of seed. (b) Choose the correct answer below. O A. Add a quantitative explanatory variable for the amount of fertilizer used. O B. Add a categorical explanatory variable for whether fertilizer was used. OC. Add a quantitative explanatory variable for whether fertilizer was used. O D. Add a categorical explanatory variable for the amount of fertilizer used.
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.
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