Question 1

Correlation analysis is a statistical technique used to measure the strength of the relationship between two variables.

Accepted Answer

A) True 
 B)False  True

Question 2

If the coefficient of determination is 0.94, what can we say about the relationship between two variables?

Accepted Answer

A)  The strength of the relationship is 0.94. 
B)  The direction of the relationship is positive. 
C)  94% of the total variation of the dependent variable is explained by the independent variable. 
D)  The direction of the relationship is negative. 
A)  The strength of the relationship is 0.94. 
B)  The direction of the relationship is positive. 
C)  94% of the total variation of the dependent variable is explained by the independent variable. 
D)  The direction of the relationship is negative. C

Question 3

In the regression equation, what does the letter "Y" 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 D

Question 4

_______________ is the technique used to predict or estimate the value of the dependent variable Y based on a selected value of an independent variable X.

Accepted Answer

The answer of _______________ is the technique used to predict...

Question 5

Consider a regression and correlation analysis where r2 = 1. We know that:

Accepted Answer

A)  SSE must be greater than one. 
B)  SSE must be greater than SS Total. 
C)  SSE can take on any negative or positive value. 
D)  SSE must equal to zero. 
A)  SSE must be greater than one. 
B)  SSE must be greater than SS Total. 
C)  SSE can take on any negative or positive value. 
D)  SSE must equal to zero.

Question 6

If the coefficient of correlation is 0.80, the coefficient of determination is _____.

Accepted Answer

The answer of If the coefficient of correlation is 0.80,...

Question 7

If all the plots on a scatter diagram lie on a straight line, what is the standard error of estimate?

Accepted Answer

A)  -1 
B)  +1 
C)  0 
D)  Infinity 
A)  -1 
B)  +1 
C)  0 
D)  Infinity

Question 8

The values of a and b in the regression equation are called the regression coefficients.

Accepted Answer

A) True 
 B)False

Question 9

Using the following information:   What is the coefficient of determination? Round the percentage to one decimal point.

Accepted Answer

A)  91.8% 
B)  8.2% 
C)  90.0% 
D)  136.9% 
A)  91.8% 
B)  8.2% 
C)  90.0% 
D)  136.9%

Question 10

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 slope of the linear equation?

Accepted Answer

-0.685
Explanation: The value

Question 11

Using the following regression analysis:   What are the regression degrees of freedom?

Accepted Answer

1
Explanation: The regression degrees of

Question 12

What is the chart called when the paired data (the dependent and independent variables) are plotted?

Accepted Answer

A)  A scatter diagram 
B)  A bar chart 
C)  A pie chart 
D)  A histogram 
A)  A scatter diagram 
B)  A bar chart 
C)  A pie chart 
D)  A histogram

Question 13

The value of the correlation coefficient (r):

Accepted Answer

A)  can be equal to the value of the coefficient of determination (r2). 
B)  can never be equal to the value of the coefficient of determination (r2). 
C)  can range from -2.0 to +2.0. 
D)  is generally larger than the value of the coefficient of determination. 
A)  can be equal to the value of the coefficient of determination (r2). 
B)  can never be equal to the value of the coefficient of determination (r2). 
C)  can range from -2.0 to +2.0. 
D)  is generally larger than the value of the coefficient of determination.

Question 14

In the equation, Ŷ = a + bX, what is Ŷ?

Accepted Answer

A)  It is the slope of the line. 
B)  It is the Y intercept. 
C)  It is the predicted value of Y, given a specific X value. 
D)  It is the value of Y when X = 0. 
A)  It is the slope of the line. 
B)  It is the Y intercept. 
C)  It is the predicted value of Y, given a specific X value. 
D)  It is the value of Y when X = 0.

Question 15

Using the following regression analysis:   What is the residual sum of squares?

Accepted Answer

10494.109
Explanation: The residual sum

Question 16

The regression equation is Ŷ = 30 + 2.56X, the sample size is 14, and the standard error of the slope is 0.97. What is the critical value to test the significance of the slope at the 0.05 significance level?

Accepted Answer

A)  z = ±1.96 
B)  t = ±2.179 
C)  t = ±2.145 
D)  t = +2.145 
A)  z = ±1.96 
B)  t = ±2.179 
C)  t = ±2.145 
D)  t = +2.145

Question 17

What is the range of values for a coefficient of correlation?

Accepted Answer

A)  0 to +1.0 
B)  -3 to +3 inclusive 
C)  -1.0 to +1.0 inclusive 
D)  Unlimited range 
A)  0 to +1.0 
B)  -3 to +3 inclusive 
C)  -1.0 to +1.0 inclusive 
D)  Unlimited range

Question 18

Using the following information:   What is the standard error of the estimate?

Accepted Answer

A)  136.8552 
B)  1094.842 
C)  11.6985 
D)  13418.4 
A)  136.8552 
B)  1094.842 
C)  11.6985 
D)  13418.4

Question 19

Which value of r indicates a stronger correlation than 0.40?

Accepted Answer

A)  -0.30 
B)  -0.80 
C)  +0.38 
D)  0 
A)  -0.30 
B)  -0.80 
C)  +0.38 
D)  0

Question 20

The population correlation coefficient is represented by ____.

Accepted Answer

ρ
Explanation: The p

Correlation analysis is a statistical technique used to measure the strength of the relationship between two variables.

If the coefficient of determination is 0.94, what can we say about the relationship between two variables?

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

_______________ is the technique used to predict or estimate the value of the dependent variable Y based on a selected value of an independent variable X.

Consider a regression and correlation analysis where r² = 1. We know that:

If the coefficient of correlation is 0.80, the coefficient of determination is _____.

If all the plots on a scatter diagram lie on a straight line, what is the standard error of estimate?

The values of a and b in the regression equation are called the regression coefficients.

Using the following information: What is the coefficient of determination? Round the percentage to one decimal point.

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 slope of the linear equation?

Using the following regression analysis: What are the regression degrees of freedom?

What is the chart called when the paired data (the dependent and independent variables) are plotted?

The value of the correlation coefficient (r):

In the equation, Ŷ = a + bX, what is Ŷ?

Using the following regression analysis: What is the residual sum of squares?

The regression equation is Ŷ = 30 + 2.56X, the sample size is 14, and the standard error of the slope is 0.97. What is the critical value to test the significance of the slope at the 0.05 significance level?

What is the range of values for a coefficient of correlation?

Using the following information: What is the standard error of the estimate?

Which value of r indicates a stronger correlation than 0.40?

The population correlation coefficient is represented by ____.

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

Exam 13: Correlation and Linear Regression

Correlation analysis is a statistical technique used to measure the strength of the relationship between two variables.

If the coefficient of determination is 0.94, what can we say about the relationship between two variables?

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

_______________ is the technique used to predict or estimate the value of the dependent variable Y based on a selected value of an independent variable X.

Consider a regression and correlation analysis where r2 = 1. We know that:

If the coefficient of correlation is 0.80, the coefficient of determination is _____.

If all the plots on a scatter diagram lie on a straight line, what is the standard error of estimate?

The values of a and b in the regression equation are called the regression coefficients.

Using the following information: What is the coefficient of determination? Round the percentage to one decimal point.

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 slope of the linear equation?

Using the following regression analysis: What are the regression degrees of freedom?

What is the chart called when the paired data (the dependent and independent variables) are plotted?

The value of the correlation coefficient (r):

In the equation, Ŷ = a + bX, what is Ŷ?

Using the following regression analysis: What is the residual sum of squares?

The regression equation is Ŷ = 30 + 2.56X, the sample size is 14, and the standard error of the slope is 0.97. What is the critical value to test the significance of the slope at the 0.05 significance level?

What is the range of values for a coefficient of correlation?

Using the following information: What is the standard error of the estimate?

Which value of r indicates a stronger correlation than 0.40?

The population correlation coefficient is represented by ____.

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

Consider a regression and correlation analysis where r² = 1. We know that: