The table shows the yield (in bushels per acre) and the total production (in millions of bushels) for corn in a country for selected years since 1950. Let x represent years since 1900. Year Yield Find a logarithmic regression model (y = a + b In x) for the yield. Estimate the yield in 2024. 1950 50 43 1960 60 56 79 1970 1980 70 80 102 1990 90 119 2000 100 110 144 148 2010 The regression model is y = - 530.6 +( 144.7 )ln x. (Round to one decimal place as needed.) The estimated yield in 2024 is bushels/acre. (Round to the nearest integer.)
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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