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