Exhibit 13-8 The following estimated regression model was developed relating yearly income (y in $1,000s) of 30 individuals with their age (xS1U1B11S1U1B0) and their gender (xS1U1B12S1U1B0) (0 if male and 1 if female). = 30 + 0.7xS1U1B11S1U1B0 + 3xS1U1B12S1U1B0 Also provided are SST = 1,200 and SSE = 384. -Refer to Exhibit 13-8. If we want to test for the significance of the model, the critical value of F at a 5% significance level is

A) 3.33 B) 3.35 C) 3.34 D) 2.96 A) 3.33 B) 3.35 C) 3.34 D) 2.96

Exhibit 13-2 A regression model between sales (y in $1,000), unit price (xS1U1B11S1U1B0 in dollars) and television advertisement (xS1U1B12S1U1B0 in dollars) resulted in the following function: = 7 - 3xS1U1B11S1U1B0 + 5xS1U1B12S1U1B0 For this model SSR = 3500, SSE = 1500, and the sample size is 18. -Refer to Exhibit 13-2. The multiple coefficient of determination for this problem is

A) 0.4368 B) 0.6960 C) 0.3040 D) 0.2289 A) 0.4368 B) 0.6960 C) 0.3040 D) 0.2289

In a multiple regression model, the values of the error term ,F1F1F1S1F1F1F10, are assumed to be

A) zero B) dependent on each other C) independent of each other D) always negative A) zero B) dependent on each other C) independent of each other D) always negative

Exhibit 13-2 A regression model between sales (y in $1,000), unit price (xS1U1B11S1U1B0 in dollars) and television advertisement (xS1U1B12S1U1B0 in dollars) resulted in the following function: = 7 - 3xS1U1B11S1U1B0 + 5xS1U1B12S1U1B0 For this model SSR = 3500, SSE = 1500, and the sample size is 18. -Refer to Exhibit 13-2. The coefficient of the unit price indicates that if the unit price is

A) increased by $1 (holding advertising constant), sales are expected to increase by $3 B) decreased by $1 (holding advertising constant), sales are expected to decrease by $3 C) increased by $1 (holding advertising constant), sales are expected to increase by $4,000 D) increased by $1 (holding advertising constant), sales are expected to decrease by $3,000 A) increased by $1 (holding advertising constant), sales are expected to increase by $3 B) decreased by $1 (holding advertising constant), sales are expected to decrease by $3 C) increased by $1 (holding advertising constant), sales are expected to increase by $4,000 D) increased by $1 (holding advertising constant), sales are expected to decrease by $3,000

Exam 13: Multiple Regression

Exhibit 13-8 The following estimated regression model was developed relating yearly income (y in $1,000s) of 30 individuals with their age (x₁) and their gender (x₂) (0 if male and 1 if female). = 30 + 0.7x₁ + 3x₂ Also provided are SST = 1,200 and SSE = 384. -Refer to Exhibit 13-8. If we want to test for the significance of the model, the critical value of F at a 5% significance level is

(Multiple Choice)

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Question 101

Exhibit 13-2 A regression model between sales (y in $1,000), unit price (x₁ in dollars) and television advertisement (x₂ in dollars) resulted in the following function: = 7 - 3x₁ + 5x₂ For this model SSR = 3500, SSE = 1500, and the sample size is 18. -Refer to Exhibit 13-2. The multiple coefficient of determination for this problem is

(Multiple Choice)

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Question 102

A regression was performed on a sample of 20 observations. Two independent variables were included in the analysis, x and z. The relationship between x and z is z = x². The following estimated equation was obtained. = 23.72 + 12.61x + 0.798z The standard errors for the coefficients are S_b1 = 4.85 and S_b2 = 0.21 For this model, SSR = 520.2 and SSE = 340.6 a.Estimate the value of y when x = 5. b.Compute the appropriate t ratios. c.Test for the significance of the coefficients at the 5% level. Which variable(s) is (are) significant? d.Compute the coefficient of determination and the adjusted coefficient of determination. Interpret the meaning of the coefficient of determination. e.Test the significance of the relationship among the variables at the 5% level of significance.

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Question 103

Exhibit 13-5 Below you are given a partial Excel output based on a sample of 25 observations. -Refer to Exhibit 13-5. We want to test whether the parameter ₁ is significant. The test statistic equals

(Multiple Choice)

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Question 104

Exhibit 13-6 Below you are given a partial Excel output based on a sample of 16 observations. -Refer to Exhibit 13-6. Carry out the test of significance for the parameter ₁ at the 1% level. The null hypothesis should be

(Multiple Choice)

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Question 105

In order to test for the significance of a regression model involving 3 independent variables and 47 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

(Multiple Choice)

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Question 106

The following regression model has been proposed to predict sales at a computer store. = 50 - 3x₁ + 20x₂ + 10x₃ where x₁ = competitor's previous day's sales (in $1,000s) x₂ = population within 1 mile (in 1,000s) = sales (in $1000s) Predict sales (in dollars) for a store with the competitor's previous day's sale of $5,000, a population of 20,000 within 1 mile, and nine radio advertisements.

(Short Answer)

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Question 107

In a multiple regression model, the values of the error term ,, are assumed to be

(Multiple Choice)

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Question 108

The following is part of the results of a regression analysis involving sales (y in millions of dollars), advertising expenditures (x₁ in thousands of dollars), and number of sales people (x₂) for a corporation: a.At  = 0.05 level of significance, test to determine if the model is significant. That is, determine if there exists a significant relationship between the independent variables and the dependent variable. b.Determine the multiple coefficient of determination. c.Determine the adjusted multiple coefficient of determination. d.What has been the sample size for this regression analysis?

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Question 109

For a multiple regression model, SST = 200 and SSE = 50. The multiple coefficient of determination is

(Multiple Choice)

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Question 110

Exhibit 13-2 A regression model between sales (y in $1,000), unit price (x₁ in dollars) and television advertisement (x₂ in dollars) resulted in the following function: = 7 - 3x₁ + 5x₂ For this model SSR = 3500, SSE = 1500, and the sample size is 18. -Refer to Exhibit 13-2. The coefficient of the unit price indicates that if the unit price is

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Question 111

Showing 101 - 111 of 111

Exhibit 13-5 Below you are given a partial Excel output based on a sample of 25 observations. -Refer to Exhibit 13-5. We want to test whether the parameter ₁ is significant. The test statistic equals

Exhibit 13-6 Below you are given a partial Excel output based on a sample of 16 observations. -Refer to Exhibit 13-6. Carry out the test of significance for the parameter ₁ at the 1% level. The null hypothesis should be

In order to test for the significance of a regression model involving 3 independent variables and 47 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

In a multiple regression model, the values of the error term ,, are assumed to be

For a multiple regression model, SST = 200 and SSE = 50. The multiple coefficient of determination is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design, and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Statistical Methods for Quality Control

Time Series Analysis and Forecastng

Filters

Exam 13: Multiple Regression

Exhibit 13-5 Below you are given a partial Excel output based on a sample of 25 observations. -Refer to Exhibit 13-5. We want to test whether the parameter 1 is significant. The test statistic equals

Exhibit 13-6 Below you are given a partial Excel output based on a sample of 16 observations. -Refer to Exhibit 13-6. Carry out the test of significance for the parameter 1 at the 1% level. The null hypothesis should be

In order to test for the significance of a regression model involving 3 independent variables and 47 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

In a multiple regression model, the values of the error term ,, are assumed to be

For a multiple regression model, SST = 200 and SSE = 50. The multiple coefficient of determination is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design, and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Statistical Methods for Quality Control

Time Series Analysis and Forecastng

Filters

Exhibit 13-5 Below you are given a partial Excel output based on a sample of 25 observations. -Refer to Exhibit 13-5. We want to test whether the parameter ₁ is significant. The test statistic equals

Exhibit 13-6 Below you are given a partial Excel output based on a sample of 16 observations. -Refer to Exhibit 13-6. Carry out the test of significance for the parameter ₁ at the 1% level. The null hypothesis should be