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### 41 Cards in this Set

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 In regression analysis, the variable that is being predicted is The dependent variable The dependent variable is also known as The response variable The range of the correlation coefficient is -1 to +1 The value of the coefficient of determination ranges between 0 to +1 In the regression equation y = b0 + b1x, b0 is the Y intercept The dependent variable is usually denoted ___. y The square root of the coefficient of determination: The coefficient of correlation The independent variable is also known as The predictor variable The correlation coefficient squared: The coefficient of determination In regression analysis, the variable that is doing the predicting or explaining is The independent variable What is used to determine an estimated regression line that minimizes the squared deviations of the data values from the line? The least squares method Independent variables are usually denoted ___. x In the regression equation y = b0 + b1x, b1 is the Slope of the line The variable that we wish to estimate or predict: The dependent variable The change in the value of the dependent variable that corresponds to a one-unit change in the independent variable: Slope (denoted B1) A graphical simultaneous presentation of the values of two variables on a Cartesian coordinate system: Scatter diagram Indicates the relationship between the dependent variable and the independent variable: Linear regression The value of the dependent variable when the independent variable is zero: Y-intercept (denoted B0) What type of relationship is there between x and y (independent and dependent variables)? A DETERMINISTIC relationship If we want to determine not just if they are linearly related, but also want to know whether there is a positive relationship or a negative relationship (b> 0 or b<0) then we will compute Pearson's Product Moment Correlation Coefficient ("r") What should we use when we want to measure the STRENGTH of the association between two variables? Linear correlation A variable that provides the basis for estimation: Independent variable r^2 Coefficient of determination Present when the slope is constant at all values of the independent variable: Linear relationship Indicates that the relationship is between the dependent variable and a single independent variable: Simple regression r Correlation coefficient Statistical methods for estimating the relationship between the dependent variable and the independent variable: Regression analysis A variable in correlation or regression that cannot be controlled: Dependent variable What should you use to calculate and measure the strength and direction of the linear relationship between two variables? Pearson's Product Moment Correlation Coefficient A variable in correlation or regression which can be controlled: Independent variable What conclusion can be drawn when the observed points on a scatter diagram are randomly scattered about the graph? There is no relationship between the two variables The difference between the actual Y values and the predicted Y values: Residuals The predicted value of Y when X = 0 Y-intercept (b0) What indicates that there is no relationship between the two variables under consideration? A correlation coefficient of 0 The coefficient of determination cannot be ____. Negative The coefficient of determination is one of the best means for evaluating the _____ of a relationship. Strength What indicates perfect negative correlation between two variables? A correlation coefficient of -1 The percent of the variation that can be explained by the regression equation: Coefficient of determination (r^2) What indicates perfect positive correlation between two variables? A correlation coefficient of 1 What indicates a positive association between two variables? r > 0 The y-intercept a is the ____ value of y when x = 0. Predicted