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Terms

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Term
Definition
ANOVA Table   show
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Coefficient of Determination   show
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show The interval estimate of the mean value of y for a given value of x  
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show A measure of the strength of the linear relationship between two variables  
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show The variable that is being predicted or explained. It is denoted by y.  
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show The estimate of the regression equation developed from sample data by using the least squares method. For simple linear regression, the estimated regression equation is yˆ = b0 + b1x.  
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show Observations with extreme values for the independent variables  
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show The variable that is doing the predicting or explaining. It is denoted by x  
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show An observation that has a strong influence or effect on the regression results.  
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Ith Residual   show
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show A procedure used to develop the estimated regression equation. The objective is to minimize o( yi − yˆi)2  
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show The unbiased estimate of the variance of the error term s2. It is denoted by MSE or s2.  
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show A graph of the standardized residuals plotted against values of the normal scores. This plot helps determine whether the assumption that the error term has a normal probability distribution appears to be valid  
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Outlier   show
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Prediction Interval   show
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show The equation that describes how the mean or expected value of the dependent variable is related to the independent variable; in simple linear regression, e(y)=b0 +b1x.  
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Regression Model   show
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show The analysis of the residuals used to determine whether the assumptions made about the regression model appear to be valid. Residual analysis is also used to identify outliers and influential observations  
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Residual Plot   show
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Scatter Diagram   show
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Simple Linear Regression   show
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show The square root of the mean square error, denoted by s. It is the estimate of s, the standard deviation of the error term e  
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show The value obtained by dividing a residual by its standard deviation  
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Adjusted Multiple Coefficient of Determination   show
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show An independent variable with categorical data  
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Cook's Distance Measure   show
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show A variable used to model the effect of categorical independent variables. A dummy variable may take only the value zero or one  
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show The estimate of the logistic regression equation based on sample data ; that is, yˆ=estimate of P(y=1ux ,x ,...,x )  
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Influential Observation   show
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Least Squares Method   show
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show A measure of how far the values of the independent variables are from their mean values  
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Multicollinearity   show
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Multiple Coefficient of Determination   show
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show Regression analysis involving two or more independent variables  
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show The mathematical equation relating the expected value or mean value of the dependent variable to the values of the independent variables; that is, E(y)=b0 +b1x1 +b2x2 +...+bpxp  
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Multiple Regression Model   show
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show An observation that does not fit the pattern of the other data  
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Studentized Deleted Residuals   show
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show in an additive decomposition model the actual time series value at time period t is obtained by adding the values of a trend component, a seasonal component, and an irregular component  
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Cyclical Pattern   show
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Deseasonalized Time Series   show
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Exponential Smoothing   show
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Forecast Error   show
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Horizontal Pattern   show
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Mean Absolute Error   show
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show the average of the absolute values of the percentage forecast errors  
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Mean Squared Error   show
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show a forecasting method that uses the average of the most recent k data values in the time series as the forecast for the next period  
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Multiplicative Decomposition Model   show
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Seasonal Pattern   show
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show a parameter of the exponential smoothing model that provides the weight given to the most recent time series value in the calculation of the forecast value  
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Stationary Time Series   show
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Time Series   show
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show a time series method that is used to separate or decompose a time series into seasonal and trend components  
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Time Series Plot   show
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show a trend pattern exists if the time series plot shows gradual shifts or movements to relatively higher or lower values over a longer period of time  
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Weighted Moving Averages   show
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