In the NHL, the correlation between "goals scored per game" (y) and the "minutes on the ice" (x) for a team of players is found to be 0.8178. Choose the statement that is FALSE about the coefficient of determination.
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.
Solve the problem.
In the NHL, the
1) The larger the coefficient of determinaion, r2, the more accurate the prediction tends to be by the regresssion line.
2) The coefficient of determination states that about 66.88% of the variation of "goals scored per game" is explained by "minutes on the ice"
3) The coefficient of determination states that about 66.88% of the variation in "minutes on the ice" is explained by "goals scored per game"
4) When given as a percent, the coefficient of determination is always been between 0 and 100%
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