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41 Cards in this Set

  • Front
  • Back
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