Question 1

Calculate the studentized (standardized)residual where the residual is equal to 11.951 and s is 14.8 and the leverage value (h)is equal to 0.0975.

Accepted Answer

The answer of Calculate the studentized (standardized)residual where the residual...

Question 2

The Durbin-Watson test statistic ranges from:

Accepted Answer

A) -4 to 4 
B) 0 to 4 
C) 0 to 3 
D) -1 to 1 
E) 0 to 1 
A) -4 to 4 
B) 0 to 4 
C) 0 to 3 
D) -1 to 1 
E) 0 to 1

Question 3

Which one of the following is not a tool used to identify multicollinearity?

Accepted Answer

A) Variance Inflation Factor 
B) Correlation matrix 
C) Studentized residuals 
D) Scatter plots that show the scatter plots for all combinations of variables in the regression model 
A) Variance Inflation Factor 
B) Correlation matrix 
C) Studentized residuals 
D) Scatter plots that show the scatter plots for all combinations of variables in the regression model

Question 4

If a particular multiple regression model has a small value of the C statistic and C for this model is less than k + 1,where k is the number of independent variables in the model,then the model should be considered biased and therefore undesirable.

Accepted Answer

A) True 
 B)False

Question 5

Given the regression model y = $\beta$0 + $\beta$1X1 + $\beta$2X2 + $\beta$3X12 + $\beta$4X22 + $\varepsilon$,if we wish to test the significance of the independent variable X2,the appropriate null hypothesis is:

Accepted Answer

A) H0: X2 = 0 
B) H0: $\beta$2 $\neq$ 0 
C) H0: $\beta$2 $\neq$ X2 
D) H0: $\beta$2 = 0 
E) H0: $\beta$2 - X2 = 0 
A) H0: X2 = 0 
B) H0: $\beta$2 $\neq$ 0 
C) H0: $\beta$2 $\neq$ X2 
D) H0: $\beta$2 = 0 
E) H0: $\beta$2 - X2 = 0

Question 6

In a multiple regression model we can conclude that multicollinearity exists if the average variance inflation factor   is substantially greater than _____.

Accepted Answer

A) 100 
B) 5 
C) 10 
D) 1 
A) 100 
B) 5 
C) 10 
D) 1

Question 7

What value of Durbin-Watson statistic indicates there is no autocorrelation present in a time ordered data?

Accepted Answer

A) 1 
B) -1 
C) 2 
D) -2 
E) 0 
A) 1 
B) -1 
C) 2 
D) -2 
E) 0

Question 8

In a multiple regression model with 4 independent variables and 25 observations,an observation's actual y value is 128.2,and the predicted value of the dependent variable based on the multiple regression equation is equal to 114.7.The computer output also shows that MSE is equal to 144 and the leverage value is 0.19.Calculate the studentized residual for this observation.

Accepted Answer

The answer of In a multiple regression model with 4...

Question 9

In the quadratic regression model   the   1 term represents the:

Accepted Answer

A) Rate of curvature of the parabola. 
B) Value of Y when X is zero. 
C) Shift parameter of the parabola. 
D) Y-intercept of the parabola. 
A) Rate of curvature of the parabola. 
B) Value of Y when X is zero. 
C) Shift parameter of the parabola. 
D) Y-intercept of the parabola.

Question 10

A very insignificant independent variable (an independent variable that has a very weak relationship with the dependent variable)is added to a multiple regression equation.As a result of this change,the value of explained variation (SSR)will _________,the value of multiple coefficient of determination (R2)will _________,and the calculated value of the F statistic will most likely _________.

Accepted Answer

A) Decrease,increase,decrease 
B) Increase,decrease,decrease 
C) Increase,increase,increase 
D) Increase,increase,decrease 
E) Decrease,decrease,decrease 
A) Decrease,increase,decrease 
B) Increase,decrease,decrease 
C) Increase,increase,increase 
D) Increase,increase,decrease 
E) Decrease,decrease,decrease

Question 11

The general form of the quadratic multiple regression models is:

Accepted Answer

A) y =β1X1 + β2X2 + ε 
B) y =β0+β1X1 +ε 
C) y =β0 + 1X1 +β2X22 +ε 
D) y =β0 + β2X22 +ε 
E) y =β0 +β1X22 +ε 
A) y =β1X1 + β2X2 + ε 
B) y =β0+β1X1 +ε 
C) y =β0 + 1X1 +β2X22 +ε 
D) y =β0 + β2X22 +ε 
E) y =β0 +β1X22 +ε

Question 12

Below is a partial multiple regression computer output based on a quadratic regression model.   Assuming a quadratic model was used,write the least squares prediction equation.

Accepted Answer

@#IMG-DLM& = 8.01 -

Question 13

Below is a partial multiple regression computer output based on a quadratic regression model.   Determine the number of observations in the sample,explained variation and the MSE.

Accepted Answer

The answer of Below is a partial multiple regression computer...

Question 14

A multiple linear regression analysis involving 45 observations resulted in the following least squares prediction equation:   .

Accepted Answer

The SSE for the above model is 49.
Addit

Question 15

The primary use of stepwise regression is to identify the most important ___________ that should be included in the multiple regression model.

Accepted Answer

A) independent variables 
B) dependent variables 
C) dummy variables 
D) quadratic variables 
A) independent variables 
B) dependent variables 
C) dummy variables 
D) quadratic variables

Question 16

In a multiple regression model with 4 independent variables and 25 observations,an observation's actual y value is 128.2,and the predicted value of the dependent variable based on the multiple regression equation is equal to 114.7.The computer output also shows that MSE is equal to 144 and the leverage value is 0.19.Calculate the studentized deleted residual for this observation.

Accepted Answer

The answer of In a multiple regression model with 4...

Question 17

In using a regression model,if a new independent variable is added,the value of the R2 (coefficient of multiple determination)will ___________ decrease.

Accepted Answer

A) Always 
B) Sometimes 
C) Never 
A) Always 
B) Sometimes 
C) Never

Question 18

Dropping an independent variable from a multiple linear regression model will always result in

Accepted Answer

A) An increase in the MSE value 
B) An increase in the R2 value 
C) A decrease in the R2 value 
D) A decrease in the MSE value 
A) An increase in the MSE value 
B) An increase in the R2 value 
C) A decrease in the R2 value 
D) A decrease in the MSE value

Question 19

As rough rule of thumb,if the absolute value of the studentized residual for an observation is greater than ______,then it is concluded that there is some evidence that the observation is an outlier.

Accepted Answer

A) 1 
B) 2 
C) 2.5 
D) 4 
A) 1 
B) 2 
C) 2.5 
D) 4

Question 20

In a multiple regression model,as a result of adding a new independent variable,as s ___________,the length of the prediction interval for y will _________.

Accepted Answer

A) Increases,always increase 
B) Decreases,sometimes decrease 
C) Increases,never increase 
D) Decreases,always increase 
E) Increases,always decrease 
A) Increases,always increase 
B) Decreases,sometimes decrease 
C) Increases,never increase 
D) Decreases,always increase 
E) Increases,always decrease

Calculate the studentized (standardized)residual where the residual is equal to 11.951 and s is 14.8 and the leverage value (h)is equal to 0.0975.

The Durbin-Watson test statistic ranges from:

Which one of the following is not a tool used to identify multicollinearity?

If a particular multiple regression model has a small value of the C statistic and C for this model is less than k + 1,where k is the number of independent variables in the model,then the model should be considered biased and therefore undesirable.

Given the regression model y = $\beta$ ₀ + $\beta$ ₁X₁ + $\beta$ ₂X₂ + $\beta$ ₃X₁² + $\beta$ ₄X₂² + $\varepsilon$ ,if we wish to test the significance of the independent variable X₂,the appropriate null hypothesis is:

In a multiple regression model we can conclude that multicollinearity exists if the average variance inflation factor is substantially greater than _____.

What value of Durbin-Watson statistic indicates there is no autocorrelation present in a time ordered data?

In the quadratic regression model the ₁ term represents the:

The general form of the quadratic multiple regression models is:

Below is a partial multiple regression computer output based on a quadratic regression model. Assuming a quadratic model was used,write the least squares prediction equation.

Below is a partial multiple regression computer output based on a quadratic regression model. Determine the number of observations in the sample,explained variation and the MSE.

A multiple linear regression analysis involving 45 observations resulted in the following least squares prediction equation: .

The primary use of stepwise regression is to identify the most important ___________ that should be included in the multiple regression model.

In using a regression model,if a new independent variable is added,the value of the R² (coefficient of multiple determination)will ___________ decrease.

Dropping an independent variable from a multiple linear regression model will always result in

As rough rule of thumb,if the absolute value of the studentized residual for an observation is greater than ______,then it is concluded that there is some evidence that the observation is an outlier.

In a multiple regression model,as a result of adding a new independent variable,as s ___,the length of the prediction interval for y will _.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression

Time Series Forecasting

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters

Exam 15: Model Building and Model Diagnostics

Calculate the studentized (standardized)residual where the residual is equal to 11.951 and s is 14.8 and the leverage value (h)is equal to 0.0975.

The Durbin-Watson test statistic ranges from:

Which one of the following is not a tool used to identify multicollinearity?

If a particular multiple regression model has a small value of the C statistic and C for this model is less than k + 1,where k is the number of independent variables in the model,then the model should be considered biased and therefore undesirable.

Given the regression model y = β\betaβ 0 + β\betaβ 1X1 + β\betaβ 2X2 + β\betaβ 3X12 + β\betaβ 4X22 + ε\varepsilonε ,if we wish to test the significance of the independent variable X2,the appropriate null hypothesis is:

In a multiple regression model we can conclude that multicollinearity exists if the average variance inflation factor is substantially greater than _____.

What value of Durbin-Watson statistic indicates there is no autocorrelation present in a time ordered data?

In the quadratic regression model the 1 term represents the:

The general form of the quadratic multiple regression models is:

Below is a partial multiple regression computer output based on a quadratic regression model. Assuming a quadratic model was used,write the least squares prediction equation.

Below is a partial multiple regression computer output based on a quadratic regression model. Determine the number of observations in the sample,explained variation and the MSE.

A multiple linear regression analysis involving 45 observations resulted in the following least squares prediction equation: .

The primary use of stepwise regression is to identify the most important ___________ that should be included in the multiple regression model.

In using a regression model,if a new independent variable is added,the value of the R2 (coefficient of multiple determination)will ___________ decrease.

Dropping an independent variable from a multiple linear regression model will always result in

As rough rule of thumb,if the absolute value of the studentized residual for an observation is greater than ______,then it is concluded that there is some evidence that the observation is an outlier.

In a multiple regression model,as a result of adding a new independent variable,as s ___________,the length of the prediction interval for y will _________.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression

Time Series Forecasting

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters

Given the regression model y = $\beta$ ₀ + $\beta$ ₁X₁ + $\beta$ ₂X₂ + $\beta$ ₃X₁² + $\beta$ ₄X₂² + $\varepsilon$ ,if we wish to test the significance of the independent variable X₂,the appropriate null hypothesis is:

In the quadratic regression model the ₁ term represents the:

In using a regression model,if a new independent variable is added,the value of the R² (coefficient of multiple determination)will ___________ decrease.

In a multiple regression model,as a result of adding a new independent variable,as s ___,the length of the prediction interval for y will _.