Question 1

In regression analysis,R-squared is also called the _______.

Accepted Answer

A)  residual 
B)  coefficient of determination 
C)  coefficient of correlation 
D)  standard error of the estimate 
E)  sum of squares of regression 
A)  residual 
B)  coefficient of determination 
C)  coefficient of correlation 
D)  standard error of the estimate 
E)  sum of squares of regression

Question 2

Regression output from Minitab software includes an ANOVA table.

Accepted Answer

A) True 
 B)False

Question 3

A researcher has developed a regression model from fifteen pairs of data points.He wants to test if the slope is significantly different from zero.He uses a two?tailed test and $\alpha$ = 0.10.The critical table t value is _______.

Accepted Answer

A)  1.771 
B)  1.350 
C)  1.761 
D)  2.145 
E)  2.068 
A)  1.771 
B)  1.350 
C)  1.761 
D)  2.145 
E)  2.068

Question 4

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: y = 2,000 + 0.42x.If a car is driven 20,000 miles,the predicted cost is ____________.

Accepted Answer

A)  10,400 
B)  20,000 
C)  2,840 
D)  6,200 
E)  6,750 
A)  10,400 
B)  20,000 
C)  2,840 
D)  6,200 
E)  6,750

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

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

Accepted Answer

A) True 
 B)False

Question 7

A researcher has developed the regression equation y = 2.164 + 1.3657x,where n = 6,the mean of x is 8.667,Sxx = 89.333,and Se = 3.44.The 90% confidence prediction interval for y when x = 1 is ______.

Accepted Answer

A)  (−2.14, 9.2) 
B)  (−2.54, 10.6) 
C)  (−3.04, 9.92) 
D)  (−3.14, 10.2) 
E)  (−3.24, 10.4) 
A)  (−2.14, 9.2) 
B)  (−2.54, 10.6) 
C)  (−3.04, 9.92) 
D)  (−3.14, 10.2) 
E)  (−3.24, 10.4)

Question 8

The equation of the trend line for the data based on sales (in $1000)of a local restaurant over the years 2005-2010 is Sales= -265575+132.571 year.The equation of the trend line when using 1 to 6 for 2005-2010 is ________

Accepted Answer

A)  -265575+132.571x 
B)  132,571x 
C)  97.284+132.571x 
D)  -263571+98x 
E)  2004+37.2x 
A)  -265575+132.571x 
B)  132,571x 
C)  97.284+132.571x 
D)  -263571+98x 
E)  2004+37.2x

Question 9

A researcher has developed the regression equation y = 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 10

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 11

In the regression equation,y=2.164+1.3657x n=6,the mean of x is 8.667,Sxx=89.333 and Se=3.44.A 95% prediction interval for y when x=8 is _________

Accepted Answer

A)  (9.13, 17.05) 
B)  (2.75, 23.43) 
C)  (10.31, 15.86) 
D)  (3.56, 22.62) 
E)  (12.09, 14.09) 
A)  (9.13, 17.05) 
B)  (2.75, 23.43) 
C)  (10.31, 15.86) 
D)  (3.56, 22.62) 
E)  (12.09, 14.09)

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

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.     For a city with a population of 500,000,Annie's model predicts annual sales of ________________.

Accepted Answer

A)  $70,780 
B)  $5,259 
C)  $170,780 
D)  $52,597 
E)  $152,597 
A)  $70,780 
B)  $5,259 
C)  $170,780 
D)  $52,597 
E)  $152,597

Question 14

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 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.     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

The assumptions underlying simple regression analysis include ______________.

Accepted Answer

A)  the error terms are exponentially distributed 
B)  the error terms have unequal variances 
C)  the model is nonlinear 
D)  the error terms are dependent 
E)  the error terms are independent 
A)  the error terms are exponentially distributed 
B)  the error terms have unequal variances 
C)  the model is nonlinear 
D)  the error terms are dependent 
E)  the error terms are independent

Question 17

Correlation is a measure of the degree of linear relationship between two variables.

Accepted Answer

A) True 
 B)False

Question 18

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 19

A standard deviation of the error of the regression model 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 20

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

In regression analysis,R-squared is also called the _______.

Regression output from Minitab software includes an ANOVA table.

A researcher has developed a regression model from fifteen pairs of data points.He wants to test if the slope is significantly different from zero.He uses a two?tailed test and $\alpha$ = 0.10.The critical table t value 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: y = 2,000 + 0.42x.If a car is driven 20,000 miles,the predicted cost is ____________.

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 ______.

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

A researcher has developed the regression equation y = 2.164 + 1.3657x,where n = 6,the mean of x is 8.667,S_xx= 89.333,and S_e= 3.44.The 90% confidence prediction interval for y when x = 1 is ______.

The equation of the trend line for the data based on sales (in $1000)of a local restaurant over the years 2005-2010 is Sales= -265575+132.571 year.The equation of the trend line when using 1 to 6 for 2005-2010 is ________

A researcher has developed the regression equation y = 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 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.

In the regression equation,y=2.164+1.3657x n=6,the mean of x is 8.667,S_xx=89.333 and S_e=3.44.A 95% prediction interval for y when x=8 is _________

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

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

The assumptions underlying simple regression analysis include ______________.

Correlation is a measure of the degree of linear relationship between two variables.

The total of the squared residuals is called the _______.

A standard deviation of the error of the regression model is called the _______.

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

Introduction to Statistics

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

A Nalysis 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 regression analysis,R-squared is also called the _______.

Regression output from Minitab software includes an ANOVA table.

A researcher has developed a regression model from fifteen pairs of data points.He wants to test if the slope is significantly different from zero.He uses a two?tailed test and α\alphaα = 0.10.The critical table t value 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: y = 2,000 + 0.42x.If a car is driven 20,000 miles,the predicted cost is ____________.

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 ______.

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

A researcher has developed the regression equation y = 2.164 + 1.3657x,where n = 6,the mean of x is 8.667,Sxx = 89.333,and Se = 3.44.The 90% confidence prediction interval for y when x = 1 is ______.

The equation of the trend line for the data based on sales (in $1000)of a local restaurant over the years 2005-2010 is Sales= -265575+132.571 year.The equation of the trend line when using 1 to 6 for 2005-2010 is ________

A researcher has developed the regression equation y = 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 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.

In the regression equation,y=2.164+1.3657x n=6,the mean of x is 8.667,Sxx=89.333 and Se=3.44.A 95% prediction interval for y when x=8 is _________

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

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

The assumptions underlying simple regression analysis include ______________.

Correlation is a measure of the degree of linear relationship between two variables.

The total of the squared residuals is called the _______.

A standard deviation of the error of the regression model is called the _______.

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

Introduction to Statistics

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

A Nalysis 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

A researcher has developed a regression model from fifteen pairs of data points.He wants to test if the slope is significantly different from zero.He uses a two?tailed test and $\alpha$ = 0.10.The critical table t value is _______.

A researcher has developed the regression equation y = 2.164 + 1.3657x,where n = 6,the mean of x is 8.667,S_xx= 89.333,and S_e= 3.44.The 90% confidence prediction interval for y when x = 1 is ______.

A researcher has developed the regression equation y = 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 ______.

In the regression equation,y=2.164+1.3657x n=6,the mean of x is 8.667,S_xx=89.333 and S_e=3.44.A 95% prediction interval for y when x=8 is _________