In simple linear regression, most often we perform a two-tail test of the population slope $\beta$1 to determine whether there is sufficient evidence to infer that a linear relationship exists. The null hypothesis is stated as:

A) H0: $\beta$1 = 0 B) H0: $\beta$1 = b1 C) H0: $\beta$1 $\neq$0 D) None of these choices. A) H0: $\beta$1 = 0 B) H0: $\beta$1 = b1 C) H0: $\beta$1 $\neq$0 D) None of these choices.

In a simple linear regression problem, r and b0:

A) must be equal to each other. B) must have the same sign. C) must have opposite signs. D) are not related. A) must be equal to each other. B) must have the same sign. C) must have opposite signs. D) are not related.

Exam 16: Simple Linear Regression and Correlation

In simple linear regression, most often we perform a two-tail test of the population slope $\beta$ ₁ to determine whether there is sufficient evidence to infer that a linear relationship exists. The null hypothesis is stated as:

(Multiple Choice)

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Question 121

Car Speed and 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. -Does this data provide sufficient evidence at the 5% significance level to infer that a linear relationship exists between speed and gas mileage?

(Essay)

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Question 122

If the coefficient of correlation is 1.0, then the coefficient of determination must be 1.0.

(True/False)

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Question 123

In the simple linear regression model, the slope represents the:

(Multiple Choice)

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Question 124

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. -Which interval in the previous two questions is narrower: the confidence interval estimate of the expected value of y or the prediction interval for the same given value of x (10 years) and same confidence level? Why?

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Question 125

In performing a regression analysis which of the following must be true about the distribution of the error variable?

(Multiple Choice)

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Question 126

In a simple linear regression model b₀ is the ____________________ of the straight line.

(Short Answer)

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Question 127

A prediction interval for a particular y is always ____________________ than a confidence interval for the mean of y.

(Short Answer)

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Question 128

UV's and Skin Cancer: A medical statistician wanted to examine the relationship between the amount of UV's (x) and incidence of skin cancer (y). As an experiment he found the number of skin cancers detected per 100,000 of population and the average daily sunshine in eight states around the country. These data are shown below. -Calculate the standard error of estimate, and describe what this statistic tells you about the regression line.

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Question 129

The standard error of the estimate is a measure of the:

(Multiple Choice)

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Question 130

If all the points in a scatter diagram lie on the least squares regression line, then the coefficient of correlation must be:

(Multiple Choice)

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Question 131

If the coefficient of correlation is -0.81, then the percentage of the variation in y that is explained by the regression line is 81%.

(True/False)

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Question 132

In a simple linear regression problem, r and b₀:

(Multiple Choice)

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Question 133

The farther a given value of x is from the mean of x, the ____________________ the estimated error becomes.

(Short Answer)

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Question 134

A regression line using 25 observations produced SSR = 118.68 and SSE = 56.32. The standard error of estimate was:

(Multiple Choice)

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Question 135

Testing whether the slope of the population regression line could be zero is equivalent to testing whether the:

(Multiple Choice)

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Question 136

There is ____________________ error in estimating a mean than in predicting an individual value.

(Short Answer)

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Question 137

Which of the following assumptions concerning the probability distribution of the random error term is stated incorrectly?

(Multiple Choice)

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Question 138

Theatre Revenues: A financier whose specialty is investing in stage productions has observed that, in general, movies with "big-name" stars seem to generate more revenue than those plays 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 play for ten recently staged plays. -Draw a scatter diagram of the data. Comment on whether it appears that a linear model might be appropriate.

(Essay)

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Question 139

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.

(True/False)

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Question 140

Showing 121 - 140 of 231

In simple linear regression, most often we perform a two-tail test of the population slope $\beta$ ₁ to determine whether there is sufficient evidence to infer that a linear relationship exists. The null hypothesis is stated as:

If the coefficient of correlation is 1.0, then the coefficient of determination must be 1.0.

In the simple linear regression model, the slope represents the:

In performing a regression analysis which of the following must be true about the distribution of the error variable?

In a simple linear regression model b₀ is the ____________________ of the straight line.

A prediction interval for a particular y is always ____________________ than a confidence interval for the mean of y.

The standard error of the estimate is a measure of the:

If all the points in a scatter diagram lie on the least squares regression line, then the coefficient of correlation must be:

If the coefficient of correlation is -0.81, then the percentage of the variation in y that is explained by the regression line is 81%.

In a simple linear regression problem, r and b₀:

The farther a given value of x is from the mean of x, the ____________________ the estimated error becomes.

A regression line using 25 observations produced SSR = 118.68 and SSE = 56.32. The standard error of estimate was:

Testing whether the slope of the population regression line could be zero is equivalent to testing whether the:

There is ____________________ error in estimating a mean than in predicting an individual value.

Which of the following assumptions concerning the probability distribution of the random error term is stated incorrectly?

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.

What Is Statistics

Graphical and Tabular Descriptive Techniques

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, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Multiple Regression

Review of Statistical Inference

Filters

Exam 16: Simple Linear Regression and Correlation

In simple linear regression, most often we perform a two-tail test of the population slope β\betaβ 1 to determine whether there is sufficient evidence to infer that a linear relationship exists. The null hypothesis is stated as:

If the coefficient of correlation is 1.0, then the coefficient of determination must be 1.0.

In the simple linear regression model, the slope represents the:

In performing a regression analysis which of the following must be true about the distribution of the error variable?

In a simple linear regression model b0 is the ____________________ of the straight line.

A prediction interval for a particular y is always ____________________ than a confidence interval for the mean of y.

The standard error of the estimate is a measure of the:

If all the points in a scatter diagram lie on the least squares regression line, then the coefficient of correlation must be:

If the coefficient of correlation is -0.81, then the percentage of the variation in y that is explained by the regression line is 81%.

In a simple linear regression problem, r and b0:

The farther a given value of x is from the mean of x, the ____________________ the estimated error becomes.

A regression line using 25 observations produced SSR = 118.68 and SSE = 56.32. The standard error of estimate was:

Testing whether the slope of the population regression line could be zero is equivalent to testing whether the:

There is ____________________ error in estimating a mean than in predicting an individual value.

Which of the following assumptions concerning the probability distribution of the random error term is stated incorrectly?

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.

What Is Statistics

Graphical and Tabular Descriptive Techniques

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, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Multiple Regression

Review of Statistical Inference

Filters

In simple linear regression, most often we perform a two-tail test of the population slope $\beta$ ₁ to determine whether there is sufficient evidence to infer that a linear relationship exists. The null hypothesis is stated as:

In a simple linear regression model b₀ is the ____________________ of the straight line.

In a simple linear regression problem, r and b₀: