Exam 13: Simple Linear Regression Analysis

An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below.Use the simple linear regression model. Calculate the coefficient of determination.

(Short Answer)

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Question 101

An experiment was performed on a certain metal to determine if the strength is a function of heating time.Partial results based on a sample of 10 metal sheets are given below.The simple linear regression equation is The time is in minutes,the strength is measured in pounds per square inch,MSE = 0.5, Determine the 95 percent confidence interval for the mean value of metal strength when the average heating time is 4 minutes.

(Short Answer)

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Question 102

The estimated simple linear regression equation minimizes the sum of the squared deviations between each value of Y and the line.

(True/False)

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Question 103

When the assumption of residuals (error terms)is violated,the Durbin-Watson statistic is used to test to determine if there is significant ___ among the residuals.

(Multiple Choice)

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Question 104

When the constant variance assumption holds,a plot of the residual versus x:

(Multiple Choice)

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Question 105

The _____ distribution is used for testing the significance of the slope term.

(Multiple Choice)

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Question 106

The following results were obtained from a simple regression analysis: Ŷ = 37.2895 - 1.2024X r² = .6744 s_b = .2934 For each unit change in X (independent variable),what is the estimated change in Y (dependent variable)?

(Short Answer)

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Question 107

The ___________ of the simple linear regression model is the value of y when the mean value of x is zero.

(Multiple Choice)

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Question 108

A data set with 7 observations yielded the following.Use the simple linear regression model. SSE = 1.117 Calculate the correlation coefficient.

(Short Answer)

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Question 109

An experiment was performed on a certain metal to determine if the strength is a function of heating time.The simple linear regression equation is The time is in minutes and the strength is measured in pounds per square inch.The 95 percent confidence interval for the slope is from .564 to 1.436.Can we reject β₁ = 0?

(Short Answer)

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Question 110

A ______________________ measures the strength of the relationship between a dependent variable (Y)and an independent variable (X).

(Multiple Choice)

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Question 111

In a simple linear regression analysis,the correlation coefficient (a)and the slope (b)___________ have the same sign.

(Multiple Choice)

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Question 112

An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below.Use the simple linear regression model. Calculate the 95 percent confidence interval for the slope.

(Short Answer)

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Question 113

Consider the following partial computer output from a simple linear regression analysis. Write the equation of the least squares line.

(Short Answer)

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Question 114

An experiment was performed on a certain metal to determine if the strength is a function of heating time.The 95 percent prediction interval for the strength of a metal sheet when the average heating time is 4 minutes is from 3.235 to 6.765.We are 95 percent confident that an individual sheet of metal heated for four minutes will have strength of at least 4 pounds per square inch.Do you agree with this statement?

(Short Answer)

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Question 115

A local tire dealer wants to predict the number of tires sold each month.He believes that the number of tires sold is a linear function of the amount of money invested in advertising.He randomly selects 6 months of data consisting of tire sales (in thousands of tires)and advertising expenditures (in thousands of dollars).Based on the data set with 6 observations,the simple linear regression equation of the least squares line is ŷ = 3 + 1x. MSE = 4 Using the sums of the squares given above,determine the 90 percent prediction interval for tire sales in a month when the advertising expenditure is $5000.

(Short Answer)

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Question 116

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance Calculate the t statistic used to test H₀: β₁ = 0 versus H_a: β₁ ≠ 0 at α = .001.

(Short Answer)

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Question 117

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance What is the estimated slope?

(Short Answer)

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Question 118

When using simple regression analysis,if there is a strong correlation between the independent and dependent variables,then we can conclude that an increase in the value of the independent variable causes an increase in the value of the dependent variable.

(True/False)

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Question 119

For the same value of X (independent variable),the confidence interval for the average value of Y (dependent variable)is __________________ the prediction interval for the individual value of Y.

(Multiple Choice)

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Question 120

Showing 101 - 120 of 140

An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below.Use the simple linear regression model. Calculate the coefficient of determination.

The estimated simple linear regression equation minimizes the sum of the squared deviations between each value of Y and the line.

When the assumption of residuals (error terms)is violated,the Durbin-Watson statistic is used to test to determine if there is significant ___ among the residuals.

When the constant variance assumption holds,a plot of the residual versus x:

The _____ distribution is used for testing the significance of the slope term.

The following results were obtained from a simple regression analysis: Ŷ = 37.2895 - 1.2024X r² = .6744 s_b = .2934 For each unit change in X (independent variable),what is the estimated change in Y (dependent variable)?

The ___________ of the simple linear regression model is the value of y when the mean value of x is zero.

A data set with 7 observations yielded the following.Use the simple linear regression model. SSE = 1.117 Calculate the correlation coefficient.

A ______________________ measures the strength of the relationship between a dependent variable (Y)and an independent variable (X).

In a simple linear regression analysis,the correlation coefficient (a)and the slope (b)___________ have the same sign.

An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below.Use the simple linear regression model. Calculate the 95 percent confidence interval for the slope.

Consider the following partial computer output from a simple linear regression analysis. Write the equation of the least squares line.

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance Calculate the t statistic used to test H₀: β₁ = 0 versus H_a: β₁ ≠ 0 at α = .001.

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance What is the estimated slope?

When using simple regression analysis,if there is a strong correlation between the independent and dependent variables,then we can conclude that an increase in the value of the independent variable causes an increase in the value of the dependent variable.

For the same value of X (independent variable),the confidence interval for the average value of Y (dependent variable)is __________________ the prediction interval for the individual value of Y.

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

Multiple Regression and Model Building

Process Improvement Using Control Charts

Filters

Exam 13: Simple Linear Regression Analysis

An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below.Use the simple linear regression model. Calculate the coefficient of determination.

The estimated simple linear regression equation minimizes the sum of the squared deviations between each value of Y and the line.

When the assumption of __________ residuals (error terms)is violated,the Durbin-Watson statistic is used to test to determine if there is significant _____________ among the residuals.

When the constant variance assumption holds,a plot of the residual versus x:

The _____ distribution is used for testing the significance of the slope term.

The following results were obtained from a simple regression analysis: Ŷ = 37.2895 - 1.2024X r2 = .6744 sb = .2934 For each unit change in X (independent variable),what is the estimated change in Y (dependent variable)?

The ___________ of the simple linear regression model is the value of y when the mean value of x is zero.

A data set with 7 observations yielded the following.Use the simple linear regression model. SSE = 1.117 Calculate the correlation coefficient.

A ______________________ measures the strength of the relationship between a dependent variable (Y)and an independent variable (X).

In a simple linear regression analysis,the correlation coefficient (a)and the slope (b)___________ have the same sign.

An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below.Use the simple linear regression model. Calculate the 95 percent confidence interval for the slope.

Consider the following partial computer output from a simple linear regression analysis. Write the equation of the least squares line.

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance Calculate the t statistic used to test H0: β1 = 0 versus Ha: β1 ≠ 0 at α = .001.

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance What is the estimated slope?

When using simple regression analysis,if there is a strong correlation between the independent and dependent variables,then we can conclude that an increase in the value of the independent variable causes an increase in the value of the dependent variable.

For the same value of X (independent variable),the confidence interval for the average value of Y (dependent variable)is __________________ the prediction interval for the individual value of Y.

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

Multiple Regression and Model Building

Process Improvement Using Control Charts

Filters

When the assumption of residuals (error terms)is violated,the Durbin-Watson statistic is used to test to determine if there is significant ___ among the residuals.

The following results were obtained from a simple regression analysis: Ŷ = 37.2895 - 1.2024X r² = .6744 s_b = .2934 For each unit change in X (independent variable),what is the estimated change in Y (dependent variable)?

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance Calculate the t statistic used to test H₀: β₁ = 0 versus H_a: β₁ ≠ 0 at α = .001.