Question 1

For the following scatter plot and regression line, at x = 34 the residual is _______.

Accepted Answer

A) positive   
B) zero 
C) negative 
D) imaginary 
E) unknown 
A) positive   
B) zero 
C) negative 
D) imaginary 
E) unknown

Question 2

In the regression equation, ŷ=5.23+2.74x and n=24, the mean of x is 12.56, SSxx=55.87 and Se=10.71.A 90% prediction interval for y when x=11 is _________

Accepted Answer

A) (2.74, 5.23) 
B) (35.37, 70.74) 
C) (16.21, 54.53) 
D) (12.56, 55.87) 
E) (30.00, 40.74) 
A) (2.74, 5.23) 
B) (35.37, 70.74) 
C) (16.21, 54.53) 
D) (12.56, 55.87) 
E) (30.00, 40.74)

Question 3

A manager wishes to predict the annual cost (y)of an automobile based on the number of miles (x)driven.The following model was developed: ŷ = 2,000 + 0.42x.If a car is driven 30,000 miles, the predicted cost is _____________.

Accepted Answer

A) 10,400 
B) 14,600 
C) 2,000 
D) 32,000 
E) 10,250 
A) 10,400 
B) 14,600 
C) 2,000 
D) 32,000 
E) 10,250

Question 4

According to the following graphic, X and Y have _________.

Accepted Answer

A) strong negative correlation 
B) virtually no correlation 
C) strong positive correlation 
D) moderate negative correlation 
E) weak negative correlation 
A) strong negative correlation 
B) virtually no correlation 
C) strong positive correlation 
D) moderate negative correlation 
E) weak negative correlation

Question 5

If the coefficient of determination was 0.49, then the correlation coefficient would be _______.

Accepted Answer

A) 0.7 
B) -0.7 
C) 0.49 
D) 0.7 or -0.7 
E) -0.49 
A) 0.7 
B) -0.7 
C) 0.49 
D) 0.7 or -0.7 
E) -0.49

Question 6

A simple regression model resulted in a sum of squares of error of 125 , and the standard error is 3.95.This model is for ______ pairs of data.

Accepted Answer

A) 8 
B) 9 
C) 10 
D) 11 
E) 12 
A) 8 
B) 9 
C) 10 
D) 11 
E) 12

Question 7

In regression analysis, the predictor variable is called the dependent variable.

Accepted Answer

A) True 
 B)False

Question 8

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.   $\begin{array}{|c|c|c|c|c|}
\hline  \text { Soures } & \text { df } & \text { SS } & \text { MS } & F \
\hline \text { Regressiumm } & 1 & 9.858769 & 9.858768 & 12.22345 \
\hline \text { Retidual } & 11 & 8.872 & 0.806545 & \
\hline \text { Tlotel } & 12 & 78.73077 & &\
\hline  
\end{array}$ $$\begin{array} { | c | } 
\hline S _ { 8 } = 0.898 \
\hline r ^ { 2 } = 0.526341 \
\hline
\end{array}$$ Louis's regression model is ________________.

Accepted Answer

A)   = -0.358 + 3.996x 
B)   = 0.358 + 3.996x 
C)   = -3.996 + 0.358x 
D)   = 3.996 - 0.358x 
E)   = 3.996 + 0.358x 
A)   = -0.358 + 3.996x 
B)   = 0.358 + 3.996x 
C)   = -3.996 + 0.358x 
D)   = 3.996 - 0.358x 
E)   = 3.996 + 0.358x

Question 9

The coefficient of determination is the proportion of variability of the dependent variable (y)accounted for or explained by the independent variable (x).

Accepted Answer

A) True 
 B)False

Question 10

Suppose you compute the correlation coefficient between two variables, X and Y, and obtain a value of 0.55.Then you realize that all the values for both variables have been corrupted in a way that their actual sign has been changed (positive values were turned into negative values and vice versa; only the signs have been changed).Then the actual, corrected value of the correlation coefficient ______.

Accepted Answer

A) is −0.55 
B) remains unchanged 
C) changes but there is not enough information to determine the correct value 
D) is 0 
E) is 0.50 
A) is −0.55 
B) remains unchanged 
C) changes but there is not enough information to determine the correct value 
D) is 0 
E) is 0.50

Question 11

The numerical value of the coefficient of correlation must be _______.

Accepted Answer

A) between -1 and +1 
B) between -1 and 0 
C) between 0 and 1 
D) equal to SSE/(n-2) 
E) between 0 and -1 
A) between -1 and +1 
B) between -1 and 0 
C) between 0 and 1 
D) equal to SSE/(n-2) 
E) between 0 and -1

Question 12

A t-test is used to determine whether the coefficients of the regression model are significantly different from zero.

Accepted Answer

A) True 
 B)False

Question 13

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 slope of the accountant's model is ______.

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 14

One of the major uses of residual analysis is to test some of the assumptions that are underlying the regression.

Accepted Answer

A) True 
 B)False

Question 15

The strength of a linear relationship in a simple linear regression change if the units of the data are converted, say from feet to inches.

Accepted Answer

A) True 
 B)False

Question 16

The assumption of constant error variance in regression analysis is called _______.

Accepted Answer

A) heteroscedasticity 
B) homoscedasticity 
C) residuals 
D) linearity 
E) nonnormality 
A) heteroscedasticity 
B) homoscedasticity 
C) residuals 
D) linearity 
E) nonnormality

Question 17

In the regression equation, ŷ = 54.78 + 1.45x, the x-intercept is _______.

Accepted Answer

A) 1.45 
B) −1.45 
C) 54.78 
D) −54.78 
E) −37.8 
A) 1.45 
B) −1.45 
C) 54.78 
D) −54.78 
E) −37.8

Question 18

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 19

Regression output from Minitab software directly displays the regression equation.

Accepted Answer

A) True 
 B)False

Question 20

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.   $\begin{array}{|c|c|c|c|c|}
\hline \text { Souros } & \text { If } & \text { SS } & \text { MS } & F \
\hline \text { Regred } & 1 & 3.550325 & 3.550325 & 63.20809 \
\hline \text { Residvil } & 4 & 0224675 & 0.056169 & \
\hline \text {Total } & 5 & 3.775 & & \
\hline
\end{array}$
$$\begin{array} { | c | } 
\hline S _ { \mathrm { e} }  = 0.237 \
\hline r ^ { 2 } = 0.940448 \
\hline
\end{array}$$ Annie's sample size is __________.

Accepted Answer

A) 2 
B) 4 
C) 6 
D) 8 
E) 10 
A) 2 
B) 4 
C) 6 
D) 8 
E) 10

For the following scatter plot and regression line, at x = 34 the residual is _______.

In the regression equation, ŷ=5.23+2.74x and n=24, the mean of x is 12.56, SS_xx=55.87 and S_e=10.71.A 90% prediction interval for y when x=11 is _________

A manager wishes to predict the annual cost (y)of an automobile based on the number of miles (x)driven.The following model was developed: ŷ = 2,000 + 0.42x.If a car is driven 30,000 miles, the predicted cost is _____________.

According to the following graphic, X and Y have _________.

If the coefficient of determination was 0.49, then the correlation coefficient would be _______.

A simple regression model resulted in a sum of squares of error of 125 , and the standard error is 3.95.This model is for ______ pairs of data.

In regression analysis, the predictor variable is called the dependent variable.

The coefficient of determination is the proportion of variability of the dependent variable (y)accounted for or explained by the independent variable (x).

The numerical value of the coefficient of correlation must be _______.

A t-test is used to determine whether the coefficients of the regression model are significantly different from zero.

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 slope of the accountant's model is ______.

One of the major uses of residual analysis is to test some of the assumptions that are underlying the regression.

The strength of a linear relationship in a simple linear regression change if the units of the data are converted, say from feet to inches.

The assumption of constant error variance in regression analysis is called _______.

In the regression equation, ŷ = 54.78 + 1.45x, the x-intercept is _______.

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

Regression output from Minitab software directly displays the regression equation.

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

For the following scatter plot and regression line, at x = 34 the residual is _______.

In the regression equation, ŷ=5.23+2.74x and n=24, the mean of x is 12.56, SSxx=55.87 and Se=10.71.A 90% prediction interval for y when x=11 is _________

A manager wishes to predict the annual cost (y)of an automobile based on the number of miles (x)driven.The following model was developed: ŷ = 2,000 + 0.42x.If a car is driven 30,000 miles, the predicted cost is _____________.

According to the following graphic, X and Y have _________.

If the coefficient of determination was 0.49, then the correlation coefficient would be _______.

A simple regression model resulted in a sum of squares of error of 125 , and the standard error is 3.95.This model is for ______ pairs of data.

In regression analysis, the predictor variable is called the dependent variable.

The coefficient of determination is the proportion of variability of the dependent variable (y)accounted for or explained by the independent variable (x).

The numerical value of the coefficient of correlation must be _______.

A t-test is used to determine whether the coefficients of the regression model are significantly different from zero.

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 slope of the accountant's model is ______.

One of the major uses of residual analysis is to test some of the assumptions that are underlying the regression.

The strength of a linear relationship in a simple linear regression change if the units of the data are converted, say from feet to inches.

The assumption of constant error variance in regression analysis is called _______.

In the regression equation, ŷ = 54.78 + 1.45x, the x-intercept is _______.

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

Regression output from Minitab software directly displays the regression equation.

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 the regression equation, ŷ=5.23+2.74x and n=24, the mean of x is 12.56, SS_xx=55.87 and S_e=10.71.A 90% prediction interval for y when x=11 is _________