Exam 13: Multiple Regression

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Evans' Rule says that if n = 50 you need at least 5 predictors to have a good model.

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When multicollinearity is present,the regression model is of no use for making predictions.

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If a regression model's F test statistic is Fcalc = 43.82,we could say that the explained variance is approximately 44 percent.

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Heteroscedasticity exists when all the errors (residuals)have the same variance.

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A disadvantage of Excel's Data Analysis regression tool is that it expects the independent variables to be in a block of contiguous columns,so you must delete a column if you want to eliminate a predictor from the model.

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Non-normality of the residuals from a regression can best be detected by looking at the residual plots against the fitted Y values.

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When the predictor units of measurement differ greatly in magnitude,which action might be useful?

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If X2 is a binary predictor in Y = β0 + β1X1 + β2X2,then which statement is most nearly correct?

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Refer to this ANOVA table from a regression: Refer to this ANOVA table from a regression:   For this regression,the R2 is For this regression,the R2 is

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The relationship of Y to four other variables was established as Y = 12 + 3X1 − 5X2 + 7X3 + 2X4.When X1 increases 5 units and X2 increases 3 units,while X3 and X4 remain unchanged,what change would you expect in your estimate of Y?

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The regression equation Salary = 25,000 + 3200 YearsExperience + 1400 YearsCollege describes employee salaries at Axolotl Corporation.The standard error is 2600.John has 10 years' experience and 4 years of college.His salary is $66,500.What is John's standardized residual?

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A binary (categorical)predictor should not be used along with nonbinary (numerical)predictors.

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The forward selection method of stepwise regression

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A high variance inflation factor (VIF)indicates a significant predictor in the regression.

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A multiple regression with 60 observations should not have 13 predictors.

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A multiple regression analysis with two independent variables yielded the following results in the ANOVA table: SS(Total)= 798,SS(Regression)= 738,SS(Error)= 60.The multiple correlation coefficient is

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A realtor is trying to predict the selling price of houses in Greenville (in thousands of dollars)as a function of Size (measured in thousands of square feet)and whether or not there is a fireplace (FP is 0 if there is no fireplace,1 if there is a fireplace).The regression output is provided below.Some of the information has been omitted. A realtor is trying to predict the selling price of houses in Greenville (in thousands of dollars)as a function of Size (measured in thousands of square feet)and whether or not there is a fireplace (FP is 0 if there is no fireplace,1 if there is a fireplace).The regression output is provided below.Some of the information has been omitted.   How many predictors (independent variables)were used in the regression? How many predictors (independent variables)were used in the regression?

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The ScamMore Energy Company is attempting to predict natural gas consumption for the month of January.A random sample of 50 homes was used to fit a regression of gas usage (in CCF)using as predictors Temperature = the thermostat setting (degrees Fahrenheit)and Occupants = the number of household occupants.They obtained the following results: The ScamMore Energy Company is attempting to predict natural gas consumption for the month of January.A random sample of 50 homes was used to fit a regression of gas usage (in CCF)using as predictors Temperature = the thermostat setting (degrees Fahrenheit)and Occupants = the number of household occupants.They obtained the following results:   In testing each coefficient for a significant difference from zero (two-tailed test at α = .10),which is the most reasonable conclusion about the predictors? In testing each coefficient for a significant difference from zero (two-tailed test at α = .10),which is the most reasonable conclusion about the predictors?

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Which is not true of the logistic regression model?

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Which of the following is not a characteristic of the F distribution?

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