Based on data from a study of the association betweenmiles driven and gallons of gasoline used, let r1 representthe correlation coefficient for (miles, gallons) data points,and let r2 represent the correlation coefficient for (gallons,miles) data points. Which of the following must be true?A) r1 + r2 = 0B) r1 - r2 = 0C) r1 + r2 = 1D) r1 # r2 = 1E) r1 # r2 = -1
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.
Based on data from a study of the association between
miles driven and gallons of gasoline used, let r1 represent
the
and let r2 represent the correlation coefficient for (gallons,
miles) data points. Which of the following must be true?
A) r1 + r2 = 0
B) r1 - r2 = 0
C) r1 + r2 = 1
D) r1 # r2 = 1
E) r1 # r2 = -1
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