Exhibit 16-4 In a laboratory experiment,data were gathered on the life span (Y in months)of 33 rats,units of daily protein intake (XS1U1B11S1U1B0),and whether or not agent XS1U1B12S1U1B0 (a proposed life extending agent)was added to the rats diet (XS1U1B12S1U1B0 = 0 if agent XS1U1B12S1U1B0 was not added,and XS1U1B12S1U1B0 = 1 if agent was added. )From the results of the experiment,the following regression model was developed. Also provided are SSR = 60 and SST = 180. -Refer to Exhibit 16-4.The life expectancy of a rat that was given 2 units of agent X2 daily,but was not given any protein is

A) 32.6 B) 36 C) 38 D) 34.3 A) 32.6 B) 36 C) 38 D) 34.3

Exhibit 16-4 In a laboratory experiment,data were gathered on the life span (Y in months)of 33 rats,units of daily protein intake (XS1U1B11S1U1B0),and whether or not agent XS1U1B12S1U1B0 (a proposed life extending agent)was added to the rats diet (XS1U1B12S1U1B0 = 0 if agent XS1U1B12S1U1B0 was not added,and XS1U1B12S1U1B0 = 1 if agent was added. )From the results of the experiment,the following regression model was developed. Also provided are SSR = 60 and SST = 180. -Refer to Exhibit 16-4.The life expectancy of a rat that was given 3 units of protein daily,and who took agent X2 is

A) 36.7 B) 36 C) 49 D) 38.4 A) 36.7 B) 36 C) 49 D) 38.4

Exhibit 16-4 In a laboratory experiment,data were gathered on the life span (Y in months)of 33 rats,units of daily protein intake (XS1U1B11S1U1B0),and whether or not agent XS1U1B12S1U1B0 (a proposed life extending agent)was added to the rats diet (XS1U1B12S1U1B0 = 0 if agent XS1U1B12S1U1B0 was not added,and XS1U1B12S1U1B0 = 1 if agent was added. )From the results of the experiment,the following regression model was developed. Also provided are SSR = 60 and SST = 180. -Refer to Exhibit 16-4.The model

A) is significant B) is not significant C) Not enough information is provided to answer this question. D) None of these alternatives is correct. A) is significant B) is not significant C) Not enough information is provided to answer this question. D) None of these alternatives is correct.

Exhibit 16-4 In a laboratory experiment,data were gathered on the life span (Y in months)of 33 rats,units of daily protein intake (XS1U1B11S1U1B0),and whether or not agent XS1U1B12S1U1B0 (a proposed life extending agent)was added to the rats diet (XS1U1B12S1U1B0 = 0 if agent XS1U1B12S1U1B0 was not added,and XS1U1B12S1U1B0 = 1 if agent was added. )From the results of the experiment,the following regression model was developed. Also provided are SSR = 60 and SST = 180. -Refer to Exhibit 16-4.The multiple coefficient of determination is

A) 0.2 B) 0.5 C) 0.333 D) 5 A) 0.2 B) 0.5 C) 0.333 D) 5

Exhibit 16-4 In a laboratory experiment,data were gathered on the life span (Y in months)of 33 rats,units of daily protein intake (XS1U1B11S1U1B0),and whether or not agent XS1U1B12S1U1B0 (a proposed life extending agent)was added to the rats diet (XS1U1B12S1U1B0 = 0 if agent XS1U1B12S1U1B0 was not added,and XS1U1B12S1U1B0 = 1 if agent was added. )From the results of the experiment,the following regression model was developed. Also provided are SSR = 60 and SST = 180. -Refer to Exhibit 16-4.The p-value for testing the significance of the regression model is

A) less than 0.01 B) between 0.01 and 0.025 C) between 0.025 and 0.05 D) between 0.05 and 0.10 A) less than 0.01 B) between 0.01 and 0.025 C) between 0.025 and 0.05 D) between 0.05 and 0.10

Exam 16: Regression Analysis: Model Building

Exhibit 16-1 In a regression analysis involving 25 observations,the following estimated regression equation was developed. Also,the following standard errors and the sum of squares were obtained. -Refer to Exhibit 16-1.The coefficient of X₂

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Question 21

Exhibit 16-4 In a laboratory experiment,data were gathered on the life span (Y in months)of 33 rats,units of daily protein intake (X₁),and whether or not agent X₂ (a proposed life extending agent)was added to the rats diet (X₂ = 0 if agent X₂ was not added,and X₂ = 1 if agent was added. )From the results of the experiment,the following regression model was developed. Also provided are SSR = 60 and SST = 180. -Refer to Exhibit 16-4.The life expectancy of a rat that was given 2 units of agent X₂ daily,but was not given any protein is

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Question 22

Ziba,Inc.has provided the following information regarding their sales for January through December of 2009.(Part of the data file is shown below. ) The results of the regression analysis relating these variables are shown below. a.The company is planning to increase their advertising by 5% per month for the months of January and February of 2010.What would be the advertising for January and February of 2010? Give your answers in dollars. b.Use the regression model that is provided above and forecast sales for January and February of 2010,assuming the company increases their advertising by 5% per month for the months of January and February of 2010.Show your computations and write your answers in dollars below.

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Question 23

Exhibit 16-2 In a regression model involving 30 observations,the following estimated regression equation was obtained. For this model,SSR = 1,740 and SST = 2,000. -Refer to Exhibit 16-2.The degrees of freedom associated with SSE are

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Question 24

Exhibit 16-4 In a laboratory experiment,data were gathered on the life span (Y in months)of 33 rats,units of daily protein intake (X₁),and whether or not agent X₂ (a proposed life extending agent)was added to the rats diet (X₂ = 0 if agent X₂ was not added,and X₂ = 1 if agent was added. )From the results of the experiment,the following regression model was developed. Also provided are SSR = 60 and SST = 180. -Refer to Exhibit 16-4.The life expectancy of a rat that was given 3 units of protein daily,and who took agent X₂ is

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Question 25

Thirty-four observations of a dependent variable (Y)and two independent variables resulted in an SSE of 300.When a third independent variable was added to the model,the SSE was reduced to 250.At 95% confidence,determine whether or not the third independent variable contributes significantly to the model.

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Question 26

Exhibit 16-2 In a regression model involving 30 observations,the following estimated regression equation was obtained. For this model,SSR = 1,740 and SST = 2,000. -Refer to Exhibit 16-2.The p-value for testing the significance of the regression model is

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Question 27

Exhibit 16-2 In a regression model involving 30 observations,the following estimated regression equation was obtained. For this model,SSR = 1,740 and SST = 2,000. -Refer to Exhibit 16-2.The degrees of freedom associated with SSR are

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Question 28

A regression model relating units sold (Y),price (X₁),and whether or not promotion was used (X₂ = 1 if promotion was used and 0 if it was not)resulted in the following model. and the following information is provided. a.Is price a significant variable? b.Is promotion significant?

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Question 29

Exhibit 16-4 In a laboratory experiment,data were gathered on the life span (Y in months)of 33 rats,units of daily protein intake (X₁),and whether or not agent X₂ (a proposed life extending agent)was added to the rats diet (X₂ = 0 if agent X₂ was not added,and X₂ = 1 if agent was added. )From the results of the experiment,the following regression model was developed. Also provided are SSR = 60 and SST = 180. -Refer to Exhibit 16-4.The model

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Question 30

Exhibit 16-4 In a laboratory experiment,data were gathered on the life span (Y in months)of 33 rats,units of daily protein intake (X₁),and whether or not agent X₂ (a proposed life extending agent)was added to the rats diet (X₂ = 0 if agent X₂ was not added,and X₂ = 1 if agent was added. )From the results of the experiment,the following regression model was developed. Also provided are SSR = 60 and SST = 180. -Refer to Exhibit 16-4.The multiple coefficient of determination is

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Question 31

Exhibit 16-4 In a laboratory experiment,data were gathered on the life span (Y in months)of 33 rats,units of daily protein intake (X₁),and whether or not agent X₂ (a proposed life extending agent)was added to the rats diet (X₂ = 0 if agent X₂ was not added,and X₂ = 1 if agent was added. )From the results of the experiment,the following regression model was developed. Also provided are SSR = 60 and SST = 180. -Refer to Exhibit 16-4.The p-value for testing the significance of the regression model is

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Question 32

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

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Question 33

Forty-eight observations of a dependent variable (Y)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 95% confidence,determine whether or not the two additional independent variables contribute significantly to the model.

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Question 34

In a regression analysis involving 20 observations and five independent variables,the following information was obtained. Fill in all the blanks in the above ANOVA table.

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Question 35

Exhibit 16-1 In a regression analysis involving 25 observations,the following estimated regression equation was developed. Also,the following standard errors and the sum of squares were obtained. -Refer to Exhibit 16-1.The test statistic for testing the significance of the model is

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Question 36

Exhibit 16-2 In a regression model involving 30 observations,the following estimated regression equation was obtained. For this model,SSR = 1,740 and SST = 2,000. -Refer to Exhibit 16-2.The coefficient of determination for this model is

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Question 37

The following are partial results of a regression analysis involving sales (Y in millions of dollars),advertising expenditures (X₁ in thousands of dollars),and number of salespeople (X₂)for a corporation.The regression was performed on a sample of 10 observations. $The following are partial results of a regression analysis involving sales (Y in millions of dollars),advertising expenditures (X<sub>1</sub> in thousands of dollars),and number of salespeople (X<sub>2</sub>)for a corporation.The regression was performed on a sample of 10 observations. a.At \alpha = 0.05,test for the significance of the coefficient of advertising. b.If the company uses $20,000 in advertisement and has 300 salespersons,what are the expected sales? (Give your answer in dollars. )$ a.At $\alpha$ = 0.05,test for the significance of the coefficient of advertising. b.If the company uses $20,000 in advertisement and has 300 salespersons,what are the expected sales? (Give your answer in dollars. )

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Question 38

A regression model relating the yearly income (Y),age (X₁),and the gender of the faculty member of a university (X₂ = 1 if female and 0 if male)resulted in the following information. a.Is gender a significant variable? b.Determine the multiple coefficient of determination.

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Question 39

Exhibit 16-2 In a regression model involving 30 observations,the following estimated regression equation was obtained. For this model,SSR = 1,740 and SST = 2,000. -Refer to Exhibit 16-2.The test statistic F for testing the significance of the above model is

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Question 40

Showing 21 - 40 of 75

Exhibit 16-1 In a regression analysis involving 25 observations,the following estimated regression equation was developed. Also,the following standard errors and the sum of squares were obtained. -Refer to Exhibit 16-1.The coefficient of X₂

Exhibit 16-2 In a regression model involving 30 observations,the following estimated regression equation was obtained. For this model,SSR = 1,740 and SST = 2,000. -Refer to Exhibit 16-2.The degrees of freedom associated with SSE are

Exhibit 16-2 In a regression model involving 30 observations,the following estimated regression equation was obtained. For this model,SSR = 1,740 and SST = 2,000. -Refer to Exhibit 16-2.The p-value for testing the significance of the regression model is

Exhibit 16-2 In a regression model involving 30 observations,the following estimated regression equation was obtained. For this model,SSR = 1,740 and SST = 2,000. -Refer to Exhibit 16-2.The degrees of freedom associated with SSR are

A regression model relating units sold (Y),price (X₁),and whether or not promotion was used (X₂ = 1 if promotion was used and 0 if it was not)resulted in the following model. and the following information is provided. a.Is price a significant variable? b.Is promotion significant?

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

In a regression analysis involving 20 observations and five independent variables,the following information was obtained. Fill in all the blanks in the above ANOVA table.

Exhibit 16-1 In a regression analysis involving 25 observations,the following estimated regression equation was developed. Also,the following standard errors and the sum of squares were obtained. -Refer to Exhibit 16-1.The test statistic for testing the significance of the model is

Exhibit 16-2 In a regression model involving 30 observations,the following estimated regression equation was obtained. For this model,SSR = 1,740 and SST = 2,000. -Refer to Exhibit 16-2.The coefficient of determination for this model is

A regression model relating the yearly income (Y),age (X₁),and the gender of the faculty member of a university (X₂ = 1 if female and 0 if male)resulted in the following information. a.Is gender a significant variable? b.Determine the multiple coefficient of determination.

Exhibit 16-2 In a regression model involving 30 observations,the following estimated regression equation was obtained. For this model,SSR = 1,740 and SST = 2,000. -Refer to Exhibit 16-2.The test statistic F for testing the significance of the above model 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

Statistical Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit and Independence

Analysis of Variance and Experimental Design

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Exam 16: Regression Analysis: Model Building

Exhibit 16-1 In a regression analysis involving 25 observations,the following estimated regression equation was developed. Also,the following standard errors and the sum of squares were obtained. -Refer to Exhibit 16-1.The coefficient of X2

Exhibit 16-2 In a regression model involving 30 observations,the following estimated regression equation was obtained. For this model,SSR = 1,740 and SST = 2,000. -Refer to Exhibit 16-2.The degrees of freedom associated with SSE are

Exhibit 16-2 In a regression model involving 30 observations,the following estimated regression equation was obtained. For this model,SSR = 1,740 and SST = 2,000. -Refer to Exhibit 16-2.The p-value for testing the significance of the regression model is

Exhibit 16-2 In a regression model involving 30 observations,the following estimated regression equation was obtained. For this model,SSR = 1,740 and SST = 2,000. -Refer to Exhibit 16-2.The degrees of freedom associated with SSR are

A regression model relating units sold (Y),price (X1),and whether or not promotion was used (X2 = 1 if promotion was used and 0 if it was not)resulted in the following model. and the following information is provided. a.Is price a significant variable? b.Is promotion significant?

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

In a regression analysis involving 20 observations and five independent variables,the following information was obtained. Fill in all the blanks in the above ANOVA table.

Exhibit 16-1 In a regression analysis involving 25 observations,the following estimated regression equation was developed. Also,the following standard errors and the sum of squares were obtained. -Refer to Exhibit 16-1.The test statistic for testing the significance of the model is

Exhibit 16-2 In a regression model involving 30 observations,the following estimated regression equation was obtained. For this model,SSR = 1,740 and SST = 2,000. -Refer to Exhibit 16-2.The coefficient of determination for this model is

A regression model relating the yearly income (Y),age (X1),and the gender of the faculty member of a university (X2 = 1 if female and 0 if male)resulted in the following information. a.Is gender a significant variable? b.Determine the multiple coefficient of determination.

Exhibit 16-2 In a regression model involving 30 observations,the following estimated regression equation was obtained. For this model,SSR = 1,740 and SST = 2,000. -Refer to Exhibit 16-2.The test statistic F for testing the significance of the above model 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

Statistical Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit and Independence

Analysis of Variance and Experimental Design

Simple Linear Regression

Multiple Regression

Index Numbers

Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Exhibit 16-1 In a regression analysis involving 25 observations,the following estimated regression equation was developed. Also,the following standard errors and the sum of squares were obtained. -Refer to Exhibit 16-1.The coefficient of X₂

A regression model relating units sold (Y),price (X₁),and whether or not promotion was used (X₂ = 1 if promotion was used and 0 if it was not)resulted in the following model. and the following information is provided. a.Is price a significant variable? b.Is promotion significant?

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

A regression model relating the yearly income (Y),age (X₁),and the gender of the faculty member of a university (X₂ = 1 if female and 0 if male)resulted in the following information. a.Is gender a significant variable? b.Determine the multiple coefficient of determination.