The sample correlation coefficient between x and y is 0.375.It has been found out that the p-value is 0.256 when testing H0: = 0 against the two-sided alternative H1: $\neq$ 0.To test H0: = 0 against the one-sided alternative H1: > 0 at a significant level of 0.193, the p-value will be equal to

A) 0.128 B) 0.512 C) 0.744 D) 0.872 A) 0.128 B) 0.512 C) 0.744 D) 0.872

In testing the hypotheses: H0: $\beta$1 = 0 vs.H0: $\beta$1 $\neq$0, the following statistics are available: , , , , and .The value of the test statistic is:

A) 2.042 B) 0.306 C) -1.50 D) -0.300 A) 2.042 B) 0.306 C) -1.50 D) -0.300

Exam 16: Simple Linear Regression and Correlation

Truck Speed and Gas Mileage An economist wanted to analyze the relationship between the speed of a truck (x) and its gas mileage (y).As an experiment a truck is operated at several different speeds and for each speed the gas mileage is measured.These data are shown below. -{Truck Speed and Gas Mileage Narrative} Calculate the standard error of estimate, and describe what this statistic tells you about the regression line.

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Question 141

Grateful Dead Concert At a recent Grateful Dead concert, a survey was conducted that asked a random sample of 20 people their age and how many concerts they have attended since the first of the year.It is suspected that older concert goers tend to go to more of his concerts in one year than younger concert goers.The data and analysis are shown below. $Grateful Dead Concert At a recent Grateful Dead concert, a survey was conducted that asked a random sample of 20 people their age and how many concerts they have attended since the first of the year.It is suspected that older concert goers tend to go to more of his concerts in one year than younger concert goers.The data and analysis are shown below. An Excel output follows: -{Oil Quality and Price Narrative} Do the and \beta 1 tests in the previous two questions provide the same results? Explain.$ An Excel output follows: $Grateful Dead Concert At a recent Grateful Dead concert, a survey was conducted that asked a random sample of 20 people their age and how many concerts they have attended since the first of the year.It is suspected that older concert goers tend to go to more of his concerts in one year than younger concert goers.The data and analysis are shown below. An Excel output follows: -{Oil Quality and Price Narrative} Do the and \beta 1 tests in the previous two questions provide the same results? Explain.$ -{Oil Quality and Price Narrative} Do the $Grateful Dead Concert At a recent Grateful Dead concert, a survey was conducted that asked a random sample of 20 people their age and how many concerts they have attended since the first of the year.It is suspected that older concert goers tend to go to more of his concerts in one year than younger concert goers.The data and analysis are shown below. An Excel output follows: -{Oil Quality and Price Narrative} Do the and \beta 1 tests in the previous two questions provide the same results? Explain.$ and $\beta$ ₁ tests in the previous two questions provide the same results? Explain.

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Question 142

Given the least squares regression line , and a coefficient of determination of 0.81, the coefficient of correlation is:

(Multiple Choice)

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Question 143

If the variance of the errors is constant for each predicted y value, the condition is called ____________________.

(Short Answer)

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Question 144

The graph of a confidence interval for the expected value of y is represented by two curved lines, one on either side of the regression line.

(True/False)

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Question 145

Oil Quality and Price Quality of oil is measured in API gravity degrees--the higher the degrees API, the higher the quality.The table shown below is produced by an expert in the field who believes that there is a relationship between quality and price per barrel. A partial Minitab output follows: -{Oil Quality and Price Narrative} Does it appear that the errors are normally distributed? Explain.

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Question 146

The sample correlation coefficient between x and y is 0.375.It has been found out that the p-value is 0.256 when testing H₀: $The sample correlation coefficient between x and y is 0.375.It has been found out that the p-value is 0.256 when testing H0: = 0 against the two-sided alternative H1: \neq 0.To test H0: = 0 against the one-sided alternative H1: > 0 at a significant level of 0.193, the p-value will be equal to$ = 0 against the two-sided alternative H₁: 11ef1757_23ab_7ed6_8934_0f04996b5575_TB7453_11 $\neq$ 0.To test H₀: 11ef1757_23ab_7ed6_8934_0f04996b5575_TB7453_11= 0 against the one-sided alternative H₁: 11ef1757_23ab_7ed6_8934_0f04996b5575_TB7453_11> 0 at a significant level of 0.193, the p-value will be equal to

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Question 147

The value of the sum of squares for regression SSR can never be smaller than 0.0.

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Question 148

In testing the hypotheses: H₀: $\beta$ ₁ = 0 vs.H₀: $\beta$ ₁ $\neq$ 0, the following statistics are available: $In testing the hypotheses: H0: \beta 1 = 0 vs.H0: \beta 1 \neq 0, the following statistics are available: , , , , and .The value of the test statistic is:$ , $In testing the hypotheses: H0: \beta 1 = 0 vs.H0: \beta 1 \neq 0, the following statistics are available: , , , , and .The value of the test statistic is:$ , $In testing the hypotheses: H0: \beta 1 = 0 vs.H0: \beta 1 \neq 0, the following statistics are available: , , , , and .The value of the test statistic is:$ , $In testing the hypotheses: H0: \beta 1 = 0 vs.H0: \beta 1 \neq 0, the following statistics are available: , , , , and .The value of the test statistic is:$ , and $In testing the hypotheses: H0: \beta 1 = 0 vs.H0: \beta 1 \neq 0, the following statistics are available: , , , , and .The value of the test statistic is:$ .The value of the test statistic is:

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Question 149

If the coefficient of determination is 0.95, this means that 95% of the variation in the independent variable x can be explained by the y variable.

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Question 150

Consider the following data values of variables x and y. a. Calculate the coefficient of determination, and describe what this statistic tells you about the relationship between the two variables. b. Calculate the Pearson coefficient of correlation.What sign does it have? Why? c. What does the coefficient of correlation calculated tell you about the direction and strength of the relationship between the two variables?

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Question 151

Cost of Books The editor of a major academic book publisher claims that a large part of the cost of books is the cost of paper.This implies that larger books will cost more money.As an experiment to analyze the claim, a university student visits the bookstore and records the number of pages and the selling price of twelve randomly selected books.These data are listed below. -{Cost of Books Narrative} Can we infer at the 5% significance level that the editor is correct?

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Question 152

Speed vs Gas Mileage An economist wanted to analyze the relationship between the speed of a car (x) and its gas mileage (y).As an experiment a car is operated at several different speeds and for each speed the gas mileage is measured.These data are shown below. -{Car Speed and Gas Mileage Narrative} Determine the least squares regression line.

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Question 153

When all the actual values of y are equal to their predicted values, the standard error of estimate will be:

(Multiple Choice)

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Question 154

A zero correlation coefficient between a pair of random variables means that there is no linear relationship between the random variables.

(True/False)

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Question 155

If the plot of the residuals vs.the predicted values resembles a straight line with non-zero slope, then the regression line fits well.

(True/False)

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Question 156

Oil Quality and Price Quality of oil is measured in API gravity degrees--the higher the degrees API, the higher the quality.The table shown below is produced by an expert in the field who believes that there is a relationship between quality and price per barrel. A partial Minitab output follows: -{Oil Quality and Price Narrative} Interpret the value of the slope of the regression line.

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Question 157

The vertical spread of the data points about the regression line is measured by the y-intercept.

(True/False)

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Question 158

Rock Concert Revenues A financier whose specialty is investing in rock concerts has observed that, in general, concerts with "big-name" stars seem to generate more revenue than those concerts whose stars are less well known.To examine his belief he records the gross revenue and the payment (in $ millions) given to the two highest-paid performers in the concert for ten concert tours. -{Rock Concert Revenues Narrative} Conduct a test of the population coefficient of correlation to determine at the 5% significance level whether a positive linear relationship exists between payment to the two highest-paid performers and gross revenue.

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Question 159

Given that the sum of squares for error is 60 and the sum of squares for regression is 140, then the coefficient of determination is:

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Question 160

Showing 141 - 160 of 298

Given the least squares regression line , and a coefficient of determination of 0.81, the coefficient of correlation is:

If the variance of the errors is constant for each predicted y value, the condition is called ____________________.

The graph of a confidence interval for the expected value of y is represented by two curved lines, one on either side of the regression line.

The value of the sum of squares for regression SSR can never be smaller than 0.0.

If the coefficient of determination is 0.95, this means that 95% of the variation in the independent variable x can be explained by the y variable.

When all the actual values of y are equal to their predicted values, the standard error of estimate will be:

A zero correlation coefficient between a pair of random variables means that there is no linear relationship between the random variables.

If the plot of the residuals vs.the predicted values resembles a straight line with non-zero slope, then the regression line fits well.

The vertical spread of the data points about the regression line is measured by the y-intercept.

Given that the sum of squares for error is 60 and the sum of squares for regression is 140, then the coefficient of determination is:

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Multiple Regression

Filters

Exam 16: Simple Linear Regression and Correlation

Given the least squares regression line , and a coefficient of determination of 0.81, the coefficient of correlation is:

If the variance of the errors is constant for each predicted y value, the condition is called ____________________.

The graph of a confidence interval for the expected value of y is represented by two curved lines, one on either side of the regression line.

The value of the sum of squares for regression SSR can never be smaller than 0.0.

In testing the hypotheses: H0: β\betaβ 1 = 0 vs.H0: β\betaβ 1 ≠\neq= 0, the following statistics are available: , , , , and .The value of the test statistic is:

If the coefficient of determination is 0.95, this means that 95% of the variation in the independent variable x can be explained by the y variable.

When all the actual values of y are equal to their predicted values, the standard error of estimate will be:

A zero correlation coefficient between a pair of random variables means that there is no linear relationship between the random variables.

If the plot of the residuals vs.the predicted values resembles a straight line with non-zero slope, then the regression line fits well.

The vertical spread of the data points about the regression line is measured by the y-intercept.

Given that the sum of squares for error is 60 and the sum of squares for regression is 140, then the coefficient of determination is:

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Multiple Regression

Filters