The relationship between a number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study: ?̂ = -0.0127 + 0.0180x The above equation implies that: each beer consumed increases blood alcohol by 1.27% on average it takes 1.8 beers to increase blood alcohol content by 1% each beer consumed increases blood alcohol by an average of the amount of 1.8% each beer consumed increases blood alcohol by exactly 0.018
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.
- The relationship between a number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study:
?̂ = -0.0127 + 0.0180x The above equation implies that:
- each beer consumed increases blood alcohol by 1.27%
- on average it takes 1.8 beers to increase blood alcohol content by 1%
- each beer consumed increases blood alcohol by an average of the amount of 1.8%
- each beer consumed increases blood alcohol by exactly 0.018
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