3. In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). The data from the table are represented by a scatter plot and least-squares regression line. What is the relationship between yield of wheat and rainfall? What is the type of association? Be sure to write one complete sentence, i.e., use college-level writing, in order to earn full credit. Rain fall (in inches) Yield (bushels per acre) 50.5 13.4 12.5 18.8 10.3 7.0 59.0 82.4 49.2 | 31.9 15.6 16.0 76.0 78.8 10.5 8.8 46.2 58.8 ý = 4.3791a + 4.2668 85 80 75 70 65 60 55 50 45 40 35 30 10 14 18 22 26 Rain Fall (in.) Yield of Wheat
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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