Is the number of calories in a beer related to the number of carbohydrates and/or the percentage of alcohol in the beer? The accompanying table has data for 35 beers. The values for three variables are included: the number of calories per 12ounces, the alcohol percentage, and the number of carbohydrates (in grams) per 12 ounces. a. Perform a multiple linear regression analysis, using calories as the dependent variable and percentage alcohol and number of carbohydrates as the independent variables. Let X1 represent alcohol percentage and let X2 represent the number of carbohydrates. (Round to four decimal places as needed.)
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.
Is the number of calories in a beer related to the number of carbohydrates and/or the percentage of alcohol in the beer? The accompanying table has data for 35 beers. The values for three variables are included: the number of calories per 12ounces, the alcohol percentage, and the number of carbohydrates (in grams) per 12 ounces.
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a.
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Perform a multiple linear regression analysis, using calories as the dependent variable and percentage alcohol and number of carbohydrates as the independent variables.
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