The following model Y = β0 + β1x1 + ε Is referred to as a

A) curvilinear model. B) curvilinear model with one predictor variable. C) simple second-order model with one predictor variable. D) simple first-order model with one predictor variable. A) curvilinear model. B) curvilinear model with one predictor variable. C) simple second-order model with one predictor variable. D) simple first-order model with one predictor variable.

In a regression analysis of a first-order model involving 3 predictor variables and 25 observations, the following estimated regression equation was developed. = 12 - 18x1 + 4x2 + 15x3 Also, the following standard errors and the sum of squares were obtained. Sb1 = 3 Sb2 = 6 Sb3 = 7 SST = 4900 SSE = 1296 The test statistic for testing the significance of the model is

A) .73. B) 18.93. C) 19.47. D) 1.37. A) .73. B) 18.93. C) 19.47. D) 1.37.

In a regression analysis of a first-order model involving 3 predictor variables and 25 observations, the following estimated regression equation was developed. = 12 - 18x1 + 4x2 + 15x3 Also, the following standard errors and the sum of squares were obtained. Sb1 = 3 Sb2 = 6 Sb3 = 7 SST = 4900 SSE = 1296 At the 5% level, the coefficient of x1

A) is significant. B) is not found to be significant. C) cannot be tested, because not enough information is provided. D) should be estimated again, because it is incorrect in the above equation. A) is significant. B) is not found to be significant. C) cannot be tested, because not enough information is provided. D) should be estimated again, because it is incorrect in the above equation.

In a regression analysis of a first-order model involving 3 predictor variables and 25 observations, the following estimated regression equation was developed. = 12 - 18x1 + 4x2 + 15x3 Also, the following standard errors and the sum of squares were obtained. Sb1 = 3 Sb2 = 6 Sb3= 7 SST = 4900 SSE = 1296 At the 1% level, the coefficient of x2

A) is significant. B) is not found to be significant. C) cannot be tested, because not enough information is provided. D) should be estimated again, because it is incorrect in the above equation. A) is significant. B) is not found to be significant. C) cannot be tested, because not enough information is provided. D) should be estimated again, because it is incorrect in the above equation.

Exam 16: Regression Analysis: Model Building

Forty-eight observations of a dependent variable and five independent variables resulted in an SSE of 438. When two additional independent variables were added to the model, the SSE was reduced to 375. At a 5% level of significance, determine whether or not the two added independent variables contribute significantly to the model.

(Short Answer)

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Question 21

A regression analysis involving 45 observations relating a dependent variable and two independent variables resulted in the following information. = .408 + 1.3387x₁ + 2x₂ The SSE for the above model is 49. When two other independent variables were added to the model, the following information was provided. = 1.2 + 3x₁ + 12x₂ + 4x₃ + 8x₄ This model's SSE is 40. At a .05 level of significance, test to determine if the two added independent variables contribute significantly to the model.

(Short Answer)

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Question 22

The following model Y = β₀ + β₁x₁ + ε Is referred to as a

(Multiple Choice)

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Question 23

Which of the following statements about the backward elimination procedure is false?

(Multiple Choice)

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Question 24

The joint effect of two independent variables acting together is called

(Multiple Choice)

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Question 25

In a regression analysis of a first-order model involving 3 predictor variables and 25 observations, the following estimated regression equation was developed. = 12 - 18x₁ + 4x₂ + 15x₃ Also, the following standard errors and the sum of squares were obtained. S_b₁= 3 S_b₂= 6 S_b₃= 7 SST = 4900 SSE = 1296 The test statistic for testing the significance of the model is

(Multiple Choice)

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Question 26

The range of the Durbin-Watson statistic is from

(Multiple Choice)

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Question 27

The variable selection procedure that identifies the best regression model, given a specified number of independent variables, is

(Multiple Choice)

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Question 28

Using the Durbin-Watson test for negative autocorrelation, we conclude that negative autocorrelation is present if

(Multiple Choice)

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Question 29

A model in the form of y = β₀ + β₁z₁ + β₂z₂ + . . . + β_pz_p + ε, where each independent variable z_j (for j = 1, 2, . . ., p) is a function of x₁, x_2,..., x_k, is known as the _____ model.

(Multiple Choice)

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Question 30

A researcher is trying to decide whether or not to add another variable to his regression model. He has estimated the following equation for the model from a sample of 28 observations. = 23.62 + 18.86x₁ + 24.72x₂ SSE = 1425 SSR = 1320 He has also estimated the model with an additional variable x₃. The results are: = 25.32 + 15.29x₁ + 7.63x₂ + 12.72x₃ SSE = 1350 SSR = 1465 What advice would you give this researcher? Use a .10 level of significance.

(Short Answer)

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Question 31

In a regression analysis of a first-order model involving 3 predictor variables and 25 observations, the following estimated regression equation was developed. = 12 - 18x₁ + 4x₂ + 15x₃ Also, the following standard errors and the sum of squares were obtained. S_b₁= 3 S_b₂= 6 S_b₃= 7 SST = 4900 SSE = 1296 At the 5% level, the coefficient of x₁

(Multiple Choice)

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Question 32

A test used to determine whether or not first-order autocorrelation is present is _____ test.

(Multiple Choice)

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Question 33

In a regression analysis of a first-order model involving 3 predictor variables and 25 observations, the following estimated regression equation was developed. = 12 - 18x₁ + 4x₂ + 15x₃ Also, the following standard errors and the sum of squares were obtained. S_b₁ = 3 S_b₂ = 6 S_b₃= 7 SST = 4900 SSE = 1296 At the 1% level, the coefficient of x₂

(Multiple Choice)

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Question 34

A regression model with one independent variable, x₁, resulted in an SSE of 50. When a second independent variable, x₂, was added to the model, the SSE was reduced to 40. At α = .05, determine if x₂ contributes significantly to the model. The sample size for both models was 30.

(Short Answer)

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Question 35

Which of the following tests is used to determine whether an additional variable makes a significant contribution to a multiple regression model?

(Multiple Choice)

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Question 36

In a regression analysis of a first-order model involving 3 predictor variables and 25 observations, the following estimated regression equation was developed. = 12 - 18x₁ + 4x₂ + 15x₃ Also, the following standard errors and the sum of squares were obtained. S_b₁ = 3 S_b₂ = 6 S_b₃ = 7 SST = 4900 SSE = 1296 If you want to determine whether or not the coefficients of the independent variables are significant, the critical t value at α = .01 is

(Multiple Choice)

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Question 37

What value of Durbin-Watson statistic indicates no autocorrelation is present?

(Multiple Choice)

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Question 38

A variable such as z, whose value is z = x₁x₂, is added to a general linear model in order to account for potential effects of two variables x₁ and x₂ acting together. This type of effect is

(Multiple Choice)

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Question 39

A regression model relating a dependent variable, y, with one independent variable, x₁, resulted in an SSE of 400. Another regression model with the same dependent variable, y, and two independent variables, x₁ (used in the first model) and x₂ (added in the second model), resulted in an SSE of 320. At α = .05, determine if x₂ contributed significantly to the model. The sample size for both models was 20.

(Short Answer)

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Question 40

Showing 21 - 40 of 41

The following model Y = β₀ + β₁x₁ + ε Is referred to as a

Which of the following statements about the backward elimination procedure is false?

The joint effect of two independent variables acting together is called

The range of the Durbin-Watson statistic is from

The variable selection procedure that identifies the best regression model, given a specified number of independent variables, is

Using the Durbin-Watson test for negative autocorrelation, we conclude that negative autocorrelation is present if

A model in the form of y = β₀ + β₁z₁ + β₂z₂ + . . . + β_pz_p + ε, where each independent variable z_j (for j = 1, 2, . . ., p) is a function of x₁, x_2,..., x_k, is known as the _____ model.

A test used to determine whether or not first-order autocorrelation is present is _____ test.

A regression model with one independent variable, x₁, resulted in an SSE of 50. When a second independent variable, x₂, was added to the model, the SSE was reduced to 40. At α = .05, determine if x₂ contributes significantly to the model. The sample size for both models was 30.

Which of the following tests is used to determine whether an additional variable makes a significant contribution to a multiple regression model?

What value of Durbin-Watson statistic indicates no autocorrelation is present?

A variable such as z, whose value is z = x₁x₂, is added to a general linear model in order to account for potential effects of two variables x₁ and x₂ acting together. This type of effect is

Data and Statistics

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Introduction to Probability

Discrete Probability Distributions

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Sampling and Sampling Distributions

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Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

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Exam 16: Regression Analysis: Model Building

The following model ​ Y = β0 + β1x1 + ε ​ Is referred to as a

Which of the following statements about the backward elimination procedure is false?​

The joint effect of two independent variables acting together is called

The range of the Durbin-Watson statistic is from

The variable selection procedure that identifies the best regression model, given a specified number of independent variables, is​

Using the Durbin-Watson test for negative autocorrelation, we conclude that negative autocorrelation is present if​

A model in the form of y = β0 + β1z1 + β2z2 + . . . + βpzp + ε, where each independent variable zj (for j = 1, 2, . . ., p) is a function of x1, x2,..., xk, is known as the _____ model.

A test used to determine whether or not first-order autocorrelation is present is _____ test.

A regression model with one independent variable, x1, resulted in an SSE of 50. When a second independent variable, x2, was added to the model, the SSE was reduced to 40. At α = .05, determine if x2 contributes significantly to the model. The sample size for both models was 30.

Which of the following tests is used to determine whether an additional variable makes a significant contribution to a multiple regression model?

What value of Durbin-Watson statistic indicates no autocorrelation is present?

A variable such as z, whose value is z = x1x2, is added to a general linear model in order to account for potential effects of two variables x1 and x2 acting together. This type of effect is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Time Series Analysis and Forecasting

Nonparametric Methods

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

Filters

The following model Y = β₀ + β₁x₁ + ε Is referred to as a

Which of the following statements about the backward elimination procedure is false?

The variable selection procedure that identifies the best regression model, given a specified number of independent variables, is

Using the Durbin-Watson test for negative autocorrelation, we conclude that negative autocorrelation is present if

A model in the form of y = β₀ + β₁z₁ + β₂z₂ + . . . + β_pz_p + ε, where each independent variable z_j (for j = 1, 2, . . ., p) is a function of x₁, x_2,..., x_k, is known as the _____ model.

A regression model with one independent variable, x₁, resulted in an SSE of 50. When a second independent variable, x₂, was added to the model, the SSE was reduced to 40. At α = .05, determine if x₂ contributes significantly to the model. The sample size for both models was 30.

A variable such as z, whose value is z = x₁x₂, is added to a general linear model in order to account for potential effects of two variables x₁ and x₂ acting together. This type of effect is