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65 Cards in this Set
- Front
- Back
Prediction |
Statement of what is believed will happen in the future made on the basis of past experiences or prior observation. |
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Extrapolation |
One approach to prediction. Detects a past pattern in one variable's behavior and projects it into the future. |
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Predictive model |
One approach to prediction. Uses relationships among variables to make a prediction. |
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What should predictions be judged upon? |
Accuracy (goodness). |
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The goodness/accuracy I based on what? |
Examination of the residuals and errors- comparisons of predictions to actual values. |
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Regression analysis |
Predictive analysis technique in which one or more variables are used to predict the level of another by use of the straight- line formula. |
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Straight- line formula (2 formulas) |
y =a + bx
y = B0 + B1X1 + e |
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Bivariate regression analysis
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Type of regression in which only two variables are used in the regression- predictive model. Has a dependent variable (y) and independent variable (x). (ties the dep and indep variable together) |
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The _______________variable is used to predict the ________________ variable.
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Dependent |
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With ___________________________, one variable is used to predict another variable.
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Bivariate analysis |
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The straight line equation is the basis of __________________________.
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Regression analysis. |
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Independent variable
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Used to predict the dependent variable (x in the straight- line equation). |
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Dependent variable
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That in which is predicted (y in the straight- line equation). |
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Least squares criterion |
Used in regression analysis; guarantees that the straight line runs through the points on the diagram and is positioned to min vertical distance away from the line of the various points. Best spot. |
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Outliers |
Data points that are substantially outside the normal range of the data points being analyzed. |
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Standard error of the estimate
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Used to calculate a range of the prediction made with a regression equation. |
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3 things that must be tested for statistical significance |
2. Intercept 3. Slope |
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Regression analysis predictions are estimates that... |
Have some amount of error in them. |
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The t test is used to determine:
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Whether the intercepts and slope are significantly different from 0 (the null hypothesis). |
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What does it mean if the computed t values is greater than the table t value?
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The null hypothesis is not supported. |
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Regression predictions are made with ________________________.
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Confidence intervals. |
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Multiple regression analysis
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Uses the same concepts as bivariate regression analysis but uses more than one independent variable. |
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General conception model
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Identifies independent and dependent variables and shows their basic relationships to one another. |
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4 factors that contribute to purchase intentions to purchase preferences (conceptual model)
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2. Demographics, lifestyle 3. Past behavior, experience, knowledge 4. Attitudes, opinions, feelings |
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What does multiple regression mean?
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You have more than one independent variable to predict a single dependent variable.
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Are the x terms in multiple regression additive or multiplicative?
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Additive. |
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What is the one basic assumption in multiple regression?
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The inclusion of each independent variable preserves the straight- line assumptions of multiple regression analysis (additivity). |
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Additivity
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Each new independent variable is added to the regression equation. |
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Regression plane
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In multiple regression, it is the shape of the dependent variable. |
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What does multiple regression tell us?
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Which factors predict the dependent variable, which way (the sign) each factor influences the dependent variable, and even how much (the size of b) each factor influences it. |
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2 basic assumption of multiple regression
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2. A coefficient of determination indicates how well the independent variables can predict the dependent variable in multiple regression. |
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Independence assumption (multiple regression)
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The independent variables must be statistically independent and uncorrelated with one another. |
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Variance inflation factor (VIF)
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Can be used to assess and eliminate multicollinearity. |
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VIF identifies what ________________ should be removed. |
Independent variables. |
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Any variable with VIF greater than ____ should be removed. |
10. |
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Another name for multiple regression
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Coefficient of determination |
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What does multiple regression measure?
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The strength of the overall linear relationship in multiple regression. |
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Multiple regression ranges from _____ to ______. |
0 to +1. |
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Multiple regression represents the amount of... |
The dependent variable that is explained or accounted for by the combined independent variables. |
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Multiple regression findings explain ____% of the dependent variable.
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.75, 75 %. |
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When is stepwise regression useful?
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When there are many independent variables and a researcher wants to narrow the set down to a smaller number of statistically significant variables. |
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In stepwise multiple regression, which variables are eliminated?
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All insignificant independent variables. |
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In stepwise multiple regression, each statistically significant independent variable is added in what order? |
Order of variance explained. |
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In stepwise multiple regression, what variable is entered into the multiple regression equation? |
The one independent variable that is statistically significant and explains the most variance. |
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Dummy independent variable
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Scales with a nominal 0 vs. 1 coding scheme. |
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Standardized beta coefficient
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Betas that indicate the relative importance of alternative predictor variables. |
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Multiple regression is sometimes used to help a marketer apply _______________________. |
Market segmentation. |
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3 warnings regarding multiple regression analysis
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2. It should not be applied outside the boundaries of data used to develop the regression model. 3. It is complex. |
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Trimmed regression
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You eliminate the nonsignificant independent variables and then rerun the regression. |
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When should you run trimmed regressions?
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Iteratively until all betas are significant. |
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What does the resultant regression model express? |
The salient independent variables. |
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Using standardized betas to compare independent variables allows what?
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Direct comparison of each independent variable. |
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What is the purpose of using multiple regression as a screening device?
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To identify variables to exclude.
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What 4 things are most important when used as a screening device?
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2. Statistically significant independent variables 3. Signs of beta coefficients 4. Standardized beta coefficients for significant variables |
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5 steps of multiple regression
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2. Does linear relationship exist? 3. Is indep. variable statistically significant? 4. Determine the strength of the linear model. 5. Interpret findings. |
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Multicollinearity
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Violation of the independence assumption that causes regression results to be in error.
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Independence assumption
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Statistical requirement that when more than one x variable is used, no pair of x variables has a high correlation. |
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Multiple r
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(correlation of determination) A number that ranges form 0-1 that indicated the strength of the overall linear relationship in a multiple regression, the higher the better (high indicates it applies well to the scatter points and low means the straight line does not apply well). |
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Beta coefficients and standardized beta coefficients
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Beta coefficients are the slope values determined by multiple regression for each indep. variable, x. Standardized in the range of .00 to .99 so they can be compared directly to determine their relative importance in y's prediction.
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Standard error of the estimate
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Value used to make a prediction at the 95% level of confidence. |
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In what type of analysis is there an underlying general conception model?
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Regression analysis. |
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Multiple regression equation and what each letter represents
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y= dependent variable x1= independent variable a= intercept b1= slope of indep variable m= # of indep variables in the equation |
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What command is used to run multiple regression?
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SPACE ANALYZE REGRESSSION LINEAR. |
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It is common to use multiple regression as a ___________________.
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Screening device. |
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What command is used to do stepwise multiple regression with SPSS? |
ANALYZE REGRESSION LINEAR. |