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Coefficient of Determination definitions
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Coefficient of Determination
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Coefficient of Determination
Quantifies the proportion of variation in a dependent variable explained by its relationship with an independent variable.
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Terms in this set (14)
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Coefficient of Determination
Quantifies the proportion of variation in a dependent variable explained by its relationship with an independent variable.
Linear Correlation Coefficient
Indicates the strength and direction of a linear relationship between two variables, ranging from -1 to 1.
Explained Variation
Represents the portion of total variation in data accounted for by the regression line.
Total Variation
Sum of squared differences between observed values and their mean, reflecting overall data spread.
Regression Line
A straight line that best fits the data points, used to model the relationship between variables.
Dependent Variable
The outcome or response in a dataset, whose variation is being analyzed or predicted.
Independent Variable
The predictor or input in a dataset, used to explain changes in the dependent variable.
R Squared Value
A value between 0 and 1 showing how much of the dependent variable's variation is explained by the model.
Unexplained Variation
The portion of total variation not accounted for by the regression model, often due to randomness or other factors.
Scatterplot
A graphical display of data points for two variables, used to visualize relationships and patterns.
Predictive Modeling
The process of using statistical techniques to forecast outcomes based on input data.
Mean
The average value of a dataset, serving as a reference point for measuring variation.
Percentage of Variation
The proportion of total variation in a dataset expressed as a percent, often used to interpret R squared.
Graphing Calculator
A tool used to input data and compute statistical measures like R and R squared efficiently.