Question 1

In the least squares equation, Ŷ = 10 + 20X, the value of 20 indicates ____________.

Accepted Answer

A)  The Y-intercept increases by 20 units for each unit increase in X 
B)  That Y increases by 20 units for each unit increase in X 
C)  That X increases by 20 units for each unit increase in Y 
D)  The error in prediction 
A)  The Y-intercept increases by 20 units for each unit increase in X 
B)  That Y increases by 20 units for each unit increase in X 
C)  That X increases by 20 units for each unit increase in Y 
D)  The error in prediction

Question 2

The strength of the correlation between two variables depends on the sign of the coefficient of correlation.

Accepted Answer

A) True 
 B)False

Question 3

When comparing the 95% confidence and prediction intervals for a given regression analysis ______________.

Accepted Answer

A)  The confidence interval is wider than a prediction interval 
B)  The confidence interval is narrower than a prediction interval 
C)  There is no difference between confidence and prediction intervals 
D)  The prediction interval has a higher level of confidence 
A)  The confidence interval is wider than a prediction interval 
B)  The confidence interval is narrower than a prediction interval 
C)  There is no difference between confidence and prediction intervals 
D)  The prediction interval has a higher level of confidence

Question 4

An advertising company wanted to study the effect of advertising budget ($millions) on the millions of ad impressions of consumers. The following regression analysis shows the results of the study.   What is the decision regarding the null hypothesis that no relationship exists?

Accepted Answer

Reject the null hypothesis and conclude

Question 5

A chart that shows the relationship between a continuous dependent variable and a continuous independent variable is called a ____________.

Accepted Answer

The answer of A chart that shows the relationship between...

Question 6

Because the coefficient of determination is expressed as a percent, its value is between 0% and 100%.

Accepted Answer

A) True 
 B)False

Question 7

What is the range of values for the coefficient of determination?

Accepted Answer

A)  -1 to +1 inclusive 
B)  -100% to +100% inclusive 
C)  -100% to 0% inclusive 
D)  0% to 100% inclusive 
A)  -1 to +1 inclusive 
B)  -100% to +100% inclusive 
C)  -100% to 0% inclusive 
D)  0% to 100% inclusive

Question 8

In regression, if the relationship between the dependent and independent variables is non-linear, a linear relationship between the variables can be achieved by:

Accepted Answer

A)  including an interaction term. 
B)  multiplying by 100. 
C)  rescaling the variables. 
D)  adding another independent variable. 
A)  including an interaction term. 
B)  multiplying by 100. 
C)  rescaling the variables. 
D)  adding another independent variable.

Question 9

The relationship between interest rates as a percent (X) and housing starts (Y) is given by the linear equation Ŷ = 4094 - 269X. What will be the number of housing starts if the interest rate is 8.25%?

Accepted Answer

1875, rounded from (1874.75)
E

Question 10

If there is absolutely no relationship between two variables, Pearson's r will equal _____.

Accepted Answer

The answer of If there is absolutely no relationship between...

Question 11

The relationship between interest rates as a percent (X) and housing starts (Y) is given by the linear equation Ŷ = 4094 - 269X. At what interest rate will there be no permits for housing starts?

Accepted Answer

15.22
Explanation: 1

Question 12

Select a value for the correlation coefficient and provide a complete interpretation of the correlation coefficient using your selected value.

Accepted Answer

Answers will vary depending on the value

Question 13

For an inverse relationship between two variables, the sign of the correlation coefficient is __________________.

Accepted Answer

The answer of For an inverse relationship between two variables,...

Question 14

A sales manager for an advertising agency believes there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results:       = 33.4.   = 2814.4. Rounding to one decimal place, the 95% confidence interval for 30 calls is ___________.

Accepted Answer

A)  55.8, 51.5 
B)  51.4, 55.9 
C)  46.7, 60.6 
D)  31.1, 76.2 
A)  55.8, 51.5 
B)  51.4, 55.9 
C)  46.7, 60.6 
D)  31.1, 76.2

Question 15

Using the following information:   The regression analysis can be summarized as follows:

Accepted Answer

A)  No significant relationship exists between the variables. 
B)  A significant negative relationship exists between the variables. 
C)  A significant positive relationship exists between the variables. 
D)  For every unit increase in X, Y decreases by 12.8094. 
A)  No significant relationship exists between the variables. 
B)  A significant negative relationship exists between the variables. 
C)  A significant positive relationship exists between the variables. 
D)  For every unit increase in X, Y decreases by 12.8094.

Question 16

The Pearson product-moment correlation coefficient, r, requires that variables be measured with _____________.

Accepted Answer

A)  an interval or ratio scale 
B)  an ordinal or ratio scale 
C)  a nominal or ordinal scale 
D)  a nominal or ratio scale 
A)  an interval or ratio scale 
B)  an ordinal or ratio scale 
C)  a nominal or ordinal scale 
D)  a nominal or ratio scale

Question 17

A company wants to study the effect of an employee's length of employment on their number of workdays absent. The results of the regression analysis follow.   What is the standard error of estimate?

Accepted Answer

1.315
Explanation: The standar

Question 18

In the regression equation, what does the letter "X" represent?

Accepted Answer

A)  The Y-intercept 
B)  The slope of the line 
C)  The independent variable 
D)  The dependent variable 
A)  The Y-intercept 
B)  The slope of the line 
C)  The independent variable 
D)  The dependent variable

Question 19

Consider the following regression analysis between sales (Y in $1,000) and social media advertising (X in dollars).   = 55,000 + 7X The regression equation implies that an:

Accepted Answer

A)  increase of $7 in advertising is associated with an increase of $7,000 in sales. 
B)  increase of $1 in advertising is associated with an increase of $7 in sales. 
C)  increase of $1 in advertising is associated with an increase of $62,000 in sales. 
D)  increase of $1 in advertising is associated with an increase of $7,000 in sales. 
A)  increase of $7 in advertising is associated with an increase of $7,000 in sales. 
B)  increase of $1 in advertising is associated with an increase of $7 in sales. 
C)  increase of $1 in advertising is associated with an increase of $62,000 in sales. 
D)  increase of $1 in advertising is associated with an increase of $7,000 in sales.

Question 20

What are the inputs and the output of linear regression?

Accepted Answer

As an input, linear regression requires

In the least squares equation, Ŷ = 10 + 20X, the value of 20 indicates ____________.

The strength of the correlation between two variables depends on the sign of the coefficient of correlation.

When comparing the 95% confidence and prediction intervals for a given regression analysis ______________.

An advertising company wanted to study the effect of advertising budget ($millions) on the millions of ad impressions of consumers. The following regression analysis shows the results of the study. What is the decision regarding the null hypothesis that no relationship exists?

A chart that shows the relationship between a continuous dependent variable and a continuous independent variable is called a ____________.

Because the coefficient of determination is expressed as a percent, its value is between 0% and 100%.

What is the range of values for the coefficient of determination?

In regression, if the relationship between the dependent and independent variables is non-linear, a linear relationship between the variables can be achieved by:

The relationship between interest rates as a percent (X) and housing starts (Y) is given by the linear equation Ŷ = 4094 - 269X. What will be the number of housing starts if the interest rate is 8.25%?

If there is absolutely no relationship between two variables, Pearson's r will equal _____.

The relationship between interest rates as a percent (X) and housing starts (Y) is given by the linear equation Ŷ = 4094 - 269X. At what interest rate will there be no permits for housing starts?

Select a value for the correlation coefficient and provide a complete interpretation of the correlation coefficient using your selected value.

For an inverse relationship between two variables, the sign of the correlation coefficient is __________________.

Using the following information: The regression analysis can be summarized as follows:

The Pearson product-moment correlation coefficient, r, requires that variables be measured with _____________.

A company wants to study the effect of an employee's length of employment on their number of workdays absent. The results of the regression analysis follow. What is the standard error of estimate?

In the regression equation, what does the letter "X" represent?

Consider the following regression analysis between sales (Y in $1,000) and social media advertising (X in dollars). = 55,000 + 7X The regression equation implies that an:

What are the inputs and the output of linear regression?

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Multiple Regression Analysis

Nonparametric Methods: Nominal Level Hypothesis Tests

Nonparametric Methods: Analysis of Ordinal Data

Index Numbers

Time Series and Forecasting

Statistical Process Control and Quality Management

An Introduction to Decision Theory

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Exam 13: Correlation and Linear Regression

In the least squares equation, Ŷ = 10 + 20X, the value of 20 indicates ____________.

The strength of the correlation between two variables depends on the sign of the coefficient of correlation.

When comparing the 95% confidence and prediction intervals for a given regression analysis ______________.

An advertising company wanted to study the effect of advertising budget ($millions) on the millions of ad impressions of consumers. The following regression analysis shows the results of the study. What is the decision regarding the null hypothesis that no relationship exists?

A chart that shows the relationship between a continuous dependent variable and a continuous independent variable is called a ____________.

Because the coefficient of determination is expressed as a percent, its value is between 0% and 100%.

What is the range of values for the coefficient of determination?

In regression, if the relationship between the dependent and independent variables is non-linear, a linear relationship between the variables can be achieved by:

The relationship between interest rates as a percent (X) and housing starts (Y) is given by the linear equation Ŷ = 4094 - 269X. What will be the number of housing starts if the interest rate is 8.25%?

If there is absolutely no relationship between two variables, Pearson's r will equal _____.

The relationship between interest rates as a percent (X) and housing starts (Y) is given by the linear equation Ŷ = 4094 - 269X. At what interest rate will there be no permits for housing starts?

Select a value for the correlation coefficient and provide a complete interpretation of the correlation coefficient using your selected value.

For an inverse relationship between two variables, the sign of the correlation coefficient is __________________.

Using the following information: The regression analysis can be summarized as follows:

The Pearson product-moment correlation coefficient, r, requires that variables be measured with _____________.

A company wants to study the effect of an employee's length of employment on their number of workdays absent. The results of the regression analysis follow. What is the standard error of estimate?

In the regression equation, what does the letter "X" represent?

Consider the following regression analysis between sales (Y in $1,000) and social media advertising (X in dollars). = 55,000 + 7X The regression equation implies that an:

What are the inputs and the output of linear regression?

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Multiple Regression Analysis

Nonparametric Methods: Nominal Level Hypothesis Tests

Nonparametric Methods: Analysis of Ordinal Data

Index Numbers

Time Series and Forecasting

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters