Question 1

In a regression analysis if SST = 200 and SSR = 200, r 2 = _________.

Accepted Answer

A) 0.25 
B) 0.75 
C) 0.00 
D) 1.00 
E) -1.00 
A) 0.25 
B) 0.75 
C) 0.00 
D) 1.00 
E) -1.00

Question 2

Given x, a 95% prediction interval for a single value of y is always wider than a 95% confidence interval for the average value of y.

Accepted Answer

A) True 
 B)False

Question 3

The total of the squared residuals is called the _______.

Accepted Answer

A) coefficient of determination 
B) sum of squares of error 
C) standard error of the estimate 
D) R-squared 
E) coefficient of correlation 
A) coefficient of determination 
B) sum of squares of error 
C) standard error of the estimate 
D) R-squared 
E) coefficient of correlation

Question 4

Annie Mikhail, market analyst for a national company specializing in historic city tours, is analyzing the relationship between the sales revenue from historic city tours and the size of the city.She gathers data from six cities in which the tours are offered.Annie's dependent variable is annual sales revenues and her independent variable is the city population.Regression analysis of the data yielded the following tables.     The numerical value of the correlation coefficient between the historic city tour sales and the size of city population is __________.

Accepted Answer

A) 0.969785 
B) 0.940483 
C) 0.224675 
D) -0.14156 
E) 1.000000 
A) 0.969785 
B) 0.940483 
C) 0.224675 
D) -0.14156 
E) 1.000000

Question 5

A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a linear function of batch size (the number of boards produced in one lot or batch).The intercept of this model is the ______.

Accepted Answer

A) batch size 
B) unit variable cost 
C) fixed cost 
D) total cost 
E) total variable cost 
A) batch size 
B) unit variable cost 
C) fixed cost 
D) total cost 
E) total variable cost

Question 6

The range of admissible values for the coefficient of determination is −1 to +1.

Accepted Answer

A) True 
 B)False

Question 7

In regression analysis, the variable that is being predicted is usually referred to as the independent variable.

Accepted Answer

A) True 
 B)False

Question 8

The coefficient of correlation in a simple regression analysis is = - 0.6.The coefficient of determination for this regression would be _______.

Accepted Answer

A) 0.6 
B) - 0.6 or + 0.6 
C) 0.13 
D) - 0.36 
E) 0.36 
A) 0.6 
B) - 0.6 or + 0.6 
C) 0.13 
D) - 0.36 
E) 0.36

Question 9

If x and y in a regression model are totally unrelated, _______.

Accepted Answer

A) the correlation coefficient would be -1 
B) the coefficient of determination would be 0 
C) the coefficient of determination would be 1 
D) the SSE would be 0 
E) the MSE would be 0s 
A) the correlation coefficient would be -1 
B) the coefficient of determination would be 0 
C) the coefficient of determination would be 1 
D) the SSE would be 0 
E) the MSE would be 0s

Question 10

The variability in the estimated slope is smaller when the x-values are more spread out.

Accepted Answer

A) True 
 B)False

Question 11

Regression output from Excel software includes an ANOVA table.

Accepted Answer

A) True 
 B)False

Question 12

From the following scatter plot, we can say that between y and x there is _______.

Accepted Answer

A) perfect positive correlation 
B) virtually no correlation 
C) positive correlation 
D) negative correlation 
E) perfect negative correlation 
A) perfect positive correlation 
B) virtually no correlation 
C) positive correlation 
D) negative correlation 
E) perfect negative correlation

Question 13

A researcher has developed the regression equation ŷ = 2.164 + 1.3657x, where n = 6, the mean of x is 8.667, Sxx = 89.333, and Se = 3.44.The researcher wants to test if the slope is significantly positive, and he chooses a significance level of 0.05.The observed t value is ______.

Accepted Answer

A) 3.752 
B) 3.852 
C) 3.972 
D) 3.985 
E) 3.995 
A) 3.752 
B) 3.852 
C) 3.972 
D) 3.985 
E) 3.995

Question 14

A prediction interval based on a specific value of x will reflect an estimate of the dependent variable for one person or thing from the population.

Accepted Answer

A) True 
 B)False

Question 15

Abby Kratz, a market specialist at the market research firm of Saez, Sikes, and Spitz, is analyzing household budget data collected by her firm.Abby's dependent variable is monthly household expenditures on groceries (in $'s), and her independent variable is annual household income (in $1,000's).Regression analysis of the data yielded the following tables.   $\begin{array}{|c|c|c|c|c|}
\hline \text { Source} & \text { df } & \text { SS } & \mathrm{MS} & F \
\hline \text { Regresssiom } & 1 & 76850.99 & 16850.99&19 .34446 \
\hline \text { Retidual } & 9 & 7839.915 & 871.1017 & \
\hline \text { Total } & 10 & 24690.91 & & \
\hline
\end{array}$ $$\begin{array} { | l | } 
\hline S _ { \mathrm { e } } = 29.51448 \
\hline r ^ { 2 } = 0.682478 \
\hline
\end{array}$$ The correlation coefficient between the two variables in this regression is __________.

Accepted Answer

A) 0.682478 
B) -0.83 
C) 0.83 
D) -0.68 
E) 1.0008 
A) 0.682478 
B) -0.83 
C) 0.83 
D) -0.68 
E) 1.0008

Question 16

From the following scatter plot, we can say that between y and x there is _______.

Accepted Answer

A) perfect positive correlation 
B) virtually no correlation 
C) positive correlation 
D) negative correlation 
E) perfect negative correlation 
A) perfect positive correlation 
B) virtually no correlation 
C) positive correlation 
D) negative correlation 
E) perfect negative correlation

Question 17

Annie Mikhail, market analyst for a national company specializing in historic city tours, is analyzing the relationship between the sales revenue from historic city tours and the size of the city.She gathers data from six cities in which the tours are offered.Annie's dependent variable is annual sales revenues and her independent variable is the city population.Regression analysis of the data yielded the following tables.   $\begin{array}{|c|c|c|c|c|}
\hline \text { Souros } & \text { df } & \text { SS } & \text { MS } & F \
\hline \text { Recrem } & 1 & 3.550325 & 3.550325 & 63.20809 \
\hline \text { Residval } & 4 & 0224675 & 0.056169 & \
\hline \text { Total } & 5 & 3.775 & & \
\hline
\end{array}$
$$\begin{array} { | c | } 
\hline S _ { \mathrm { e} }  = 0.237 \
\hline r ^ { 2 } = 0.940483\
\hline
\end{array}$$ Using $\alpha$= 0.05, Annie should ________________.

Accepted Answer

A) increase the sample size 
B) not reject H0: $\beta$1 = 0 
C) reject H0: $\beta$1 = 0 
D) suspend judgment 
E) reject H0: $\beta$0 = 0 
A) increase the sample size 
B) not reject H0: $\beta$1 = 0 
C) reject H0: $\beta$1 = 0 
D) suspend judgment 
E) reject H0: $\beta$0 = 0

Question 18

Louis Katz, a cost accountant at Papalote Plastics, Inc.(PPI), is analyzing the manufacturing costs of a molded plastic telephone handset produced by PPI.Louis's independent variable is production lot size (in 1,000's of units), and his dependent variable is the total cost of the lot (in $100's).Regression analysis of the data yielded the following tables.   $\begin{array}{|c|c|c|c|c|}
\hline \text { Souros } & \text { df } & \text { SS } & \text { MS } & F \
\hline \text { Regresssumm } & 1 & 9.858769 & 9.85876 & 12.22345 \
\hline \text { Retidual } & 11 & 8.872 & 0.806545 & \
\hline \text { Total } & 12 & 78.73077 & &\
\hline
\end{array}$ 
$$\begin{array} { | c | } 
\hline S _ { 8 } = 0.898 \
\hline r ^ { 2 } = 0.526341 \
\hline
\end{array}$$ The correlation coefficient between Louis's variables is ________________.

Accepted Answer

A) -0.73 
B) 0.73 
C) 0.28 
D) -0.28 
E) 0.00 
A) -0.73 
B) 0.73 
C) 0.28 
D) -0.28 
E) 0.00

Question 19

A regression line minimizes the sum of the squared error values.This means that the regression line minimizes the sum of ______ from each point in the scatter point to the regression line.

Accepted Answer

A) the squares of the distances 
B) the squares of the horizontal distances (differences in the x-coordinates) 
C) the squares of the vertical distances (differences in the x-coordinates) 
D) the squares of the horizontal distances (differences in the y-coordinates) 
E) the squares of the vertical distances (differences in the y-coordinates) 
A) the squares of the distances 
B) the squares of the horizontal distances (differences in the x-coordinates) 
C) the squares of the vertical distances (differences in the x-coordinates) 
D) the squares of the horizontal distances (differences in the y-coordinates) 
E) the squares of the vertical distances (differences in the y-coordinates)

Question 20

If a scatter plot of variables X and Y shows a trend that can be summarized to a large degree by a straight line with slope 0.8 and y-intercept 0.2 (i.e., Y = 0.2 + 0.8X), then the correlation coefficient between X and Y is ______.

Accepted Answer

A) 0.8, and there is a causal relation between X and Y (either X causes Y or Y causes X) 
B) 0.2, and there is a causal relation between X and Y (either X causes Y or Y causes X) 
C) 0.8, but there is no causal relation between X and Y 
D) 0.2, but there is no causal relation between X and Y 
E) 0.8, and there may be a causal relation between X and Y, but not necessarily 
A) 0.8, and there is a causal relation between X and Y (either X causes Y or Y causes X) 
B) 0.2, and there is a causal relation between X and Y (either X causes Y or Y causes X) 
C) 0.8, but there is no causal relation between X and Y 
D) 0.2, but there is no causal relation between X and Y 
E) 0.8, and there may be a causal relation between X and Y, but not necessarily

In a regression analysis if SST = 200 and SSR = 200, r ² = _________.

Given x, a 95% prediction interval for a single value of y is always wider than a 95% confidence interval for the average value of y.

The total of the squared residuals is called the _______.

A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a linear function of batch size (the number of boards produced in one lot or batch).The intercept of this model is the ______.

The range of admissible values for the coefficient of determination is −1 to +1.

In regression analysis, the variable that is being predicted is usually referred to as the independent variable.

The coefficient of correlation in a simple regression analysis is = - 0.6.The coefficient of determination for this regression would be _______.

If x and y in a regression model are totally unrelated, _______.

The variability in the estimated slope is smaller when the x-values are more spread out.

Regression output from Excel software includes an ANOVA table.

From the following scatter plot, we can say that between y and x there is _______.

A researcher has developed the regression equation ŷ = 2.164 + 1.3657x, where n = 6, the mean of x is 8.667, S_xx= 89.333, and S_e= 3.44.The researcher wants to test if the slope is significantly positive, and he chooses a significance level of 0.05.The observed t value is ______.

A prediction interval based on a specific value of x will reflect an estimate of the dependent variable for one person or thing from the population.

From the following scatter plot, we can say that between y and x there is _______.

A regression line minimizes the sum of the squared error values.This means that the regression line minimizes the sum of ______ from each point in the scatter point to the regression line.

If a scatter plot of variables X and Y shows a trend that can be summarized to a large degree by a straight line with slope 0.8 and y-intercept 0.2 (i.e., Y = 0.2 + 0.8X), then the correlation coefficient between X and Y is ______.

Introduction to Statistics and Business Analytics

Visualizing Data With Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 12: Simple Regression Analysis and Correlation

In a regression analysis if SST = 200 and SSR = 200, r 2 = _________.

Given x, a 95% prediction interval for a single value of y is always wider than a 95% confidence interval for the average value of y.

The total of the squared residuals is called the _______.

A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a linear function of batch size (the number of boards produced in one lot or batch).The intercept of this model is the ______.

The range of admissible values for the coefficient of determination is −1 to +1.

In regression analysis, the variable that is being predicted is usually referred to as the independent variable.

The coefficient of correlation in a simple regression analysis is = - 0.6.The coefficient of determination for this regression would be _______.

If x and y in a regression model are totally unrelated, _______.

The variability in the estimated slope is smaller when the x-values are more spread out.

Regression output from Excel software includes an ANOVA table.

From the following scatter plot, we can say that between y and x there is _______.

A researcher has developed the regression equation ŷ = 2.164 + 1.3657x, where n = 6, the mean of x is 8.667, Sxx = 89.333, and Se = 3.44.The researcher wants to test if the slope is significantly positive, and he chooses a significance level of 0.05.The observed t value is ______.

A prediction interval based on a specific value of x will reflect an estimate of the dependent variable for one person or thing from the population.

From the following scatter plot, we can say that between y and x there is _______.

A regression line minimizes the sum of the squared error values.This means that the regression line minimizes the sum of ______ from each point in the scatter point to the regression line.

If a scatter plot of variables X and Y shows a trend that can be summarized to a large degree by a straight line with slope 0.8 and y-intercept 0.2 (i.e., Y = 0.2 + 0.8X), then the correlation coefficient between X and Y is ______.

Introduction to Statistics and Business Analytics

Visualizing Data With Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

In a regression analysis if SST = 200 and SSR = 200, r ² = _________.

A researcher has developed the regression equation ŷ = 2.164 + 1.3657x, where n = 6, the mean of x is 8.667, S_xx= 89.333, and S_e= 3.44.The researcher wants to test if the slope is significantly positive, and he chooses a significance level of 0.05.The observed t value is ______.