Question 1

A negative relationship between an explanatory variable X and a response variable Y means that as X increases,Y decreases,and vice versa.

Accepted Answer

A) True 
 B)False  True

Question 2

A "fan" shape in a scatterplot indicates:

Accepted Answer

A) unequal variance 
B) a nonlinear relationship 
C) the absence of outliers 
D) sampling error 
A) unequal variance 
B) a nonlinear relationship 
C) the absence of outliers 
D) sampling error A

Question 3

An outlier is an observation that falls outside of the general pattern of the rest of the observations on a scatterplot.

Accepted Answer

A) True 
 B)False  True

Question 4

(A)Use the information above to estimate the linear regression model.
(B)Interpret each of the estimated regression coefficients of the regression model in (A).
(C)Identify and interpret the coefficient of determination (   )for the model in (A).
(D)Identify and interpret the standard error of the estimate   for the model in (A).

Accepted Answer

(A) @#IMG-DLM& (B)This model shows that the number

Question 5

Obtain a scatterplot of Maintenance Cost vs.Service Interval.Does this affect your opinion of the validity of the model in Question 135?

Accepted Answer

@#IMG-DLM& The scatterplot confirms what

Question 6

(A)Draw a scatterplot,of the data and comment on the relationship between shelf space and weekly sales.
(B)Run a regression on this data set and report the results.
(C)What are the least squares regression coefficients of the Y-intercept (a)and slope (b)?
(D)Interpret the meaning of the slopeb.
(E)Predict the average weekly sales (in hundreds of dollars)of international food for stores with 13 feet of shelf space for international food.
(F)Why would it not be appropriate to predict the average weekly sales (in hundreds of dollars)of international food for stores with 35 feet of shelf space for international food?
(G)Identify the coefficient of determination,   ,and interpret its meaning.
(H)Determine the standard error of the estimate.What does it represent?
(I)Draw a scatterplot of residuals versus fitted values.What does this graph indicate?

Accepted Answer

(A) @#IMG-DLM& It seems that a linear relationship

Question 7

The two primary objectives of regression analysis are to study relationships between variables and to use those relationships to make predictions.

Accepted Answer

A) True 
 B)False

Question 8

We should include an interaction variable in a regression model if we believe that the effect of one explanatory variable   on the response variable Y depends on the value of another explanatory variable   .

Accepted Answer

A) True 
 B)False

Question 9

In regression analysis,the variable we are trying to explain or predict is called the

Accepted Answer

A) independent variable 
B) dependent variable 
C) regression variable 
D) statistical variable 
E) residual variable 
A) independent variable 
B) dependent variable 
C) regression variable 
D) statistical variable 
E) residual variable

Question 10

The regression line   = 3 + 2X has been fitted to the data points (4,14),(2,7),and (1,4).The sum of the residuals squared will be 8.0.

Accepted Answer

A) True 
 B)False

Question 11

The adjusted R2 adjusts R2 for:

Accepted Answer

A) non-linearity 
B) outliers 
C) low correlation 
D) the number of explanatory variables in a multiple regression model 
A) non-linearity 
B) outliers 
C) low correlation 
D) the number of explanatory variables in a multiple regression model

Question 12

In choosing the "best-fitting" line through a set of points in linear regression,we choose the one with the:

Accepted Answer

A) smallest sum of squared residuals 
B) largest sum of squared residuals 
C) smallest number of outliers 
D) largest number of points on the line 
E) None of these options 
A) smallest sum of squared residuals 
B) largest sum of squared residuals 
C) smallest number of outliers 
D) largest number of points on the line 
E) None of these options

Question 13

In linear regression,we fit the least squares line to a set of values (or points on a scatterplot).The distance from the line to a point is called the:

Accepted Answer

A) fitted value 
B) residual 
C) correlation 
D) covariance 
E) None of these options 
A) fitted value 
B) residual 
C) correlation 
D) covariance 
E) None of these options

Question 14

The R2 can only increase when extra explanatory variables are added to a multiple regression model

Accepted Answer

A) True 
 B)False

Question 15

In regression analysis,the variables used to help explain or predict the response variable are called the

Accepted Answer

A) independent variables 
B) dependent variables 
C) regression variables 
D) statistical variables 
A) independent variables 
B) dependent variables 
C) regression variables 
D) statistical variables

Question 16

If a scatterplot of residuals shows a parabola shape,then a logarithmic transformation may be useful in obtaining a better fit

Accepted Answer

A) True 
 B)False

Question 17

Cross-sectional data are usually data gathered from approximately the same period of time from a cross-sectional of a population.

Accepted Answer

A) True 
 B)False

Question 18

An interaction variable is the product of an explanatory variable and the dependent variable.

Accepted Answer

A) True 
 B)False

Question 19

(A)Use the information above to estimate the linear regression model.
(B)Interpret each of the estimated regression coefficients of the regression model in (A).
(C)Identify and interpret the coefficient of determination (   )for the model in (A).
(D)Identify and interpret the standard error of the estimate (se)for the model in (A).
(E)Would you recommend that this company examine any other factors to predict the selling price? If yes,what other factors would you want to consider? Explain your answer.

Accepted Answer

(A) @#IMG-DLM& (B)This model shows that the price

Question 20

The weakness of scatterplots is that they:

Accepted Answer

A) do not help identify linear relationships 
B) can be misleading about the types of relationships they indicate 
C) only help identify outliers 
D) do not actually quantify the relationships between variables 
A) do not help identify linear relationships 
B) can be misleading about the types of relationships they indicate 
C) only help identify outliers 
D) do not actually quantify the relationships between variables

A negative relationship between an explanatory variable X and a response variable Y means that as X increases,Y decreases,and vice versa.

A "fan" shape in a scatterplot indicates:

An outlier is an observation that falls outside of the general pattern of the rest of the observations on a scatterplot.

Obtain a scatterplot of Maintenance Cost vs.Service Interval.Does this affect your opinion of the validity of the model in Question 135?

The two primary objectives of regression analysis are to study relationships between variables and to use those relationships to make predictions.

We should include an interaction variable in a regression model if we believe that the effect of one explanatory variable on the response variable Y depends on the value of another explanatory variable .

In regression analysis,the variable we are trying to explain or predict is called the

The regression line = 3 + 2X has been fitted to the data points (4,14),(2,7),and (1,4).The sum of the residuals squared will be 8.0.

The adjusted R² adjusts R² for:

In choosing the "best-fitting" line through a set of points in linear regression,we choose the one with the:

In linear regression,we fit the least squares line to a set of values (or points on a scatterplot).The distance from the line to a point is called the:

The R² can only increase when extra explanatory variables are added to a multiple regression model

In regression analysis,the variables used to help explain or predict the response variable are called the

If a scatterplot of residuals shows a parabola shape,then a logarithmic transformation may be useful in obtaining a better fit

Cross-sectional data are usually data gathered from approximately the same period of time from a cross-sectional of a population.

An interaction variable is the product of an explanatory variable and the dependent variable.

The weakness of scatterplots is that they:

Introduction to Data Analysis and Decision Making

Describing the Distribution of a Single Variable

Finding Relationships Among Variables

Probability and Probability Distributions

Normal, binomial, poisson, and Exponential Distributions

Decision Making Under Uncertainty

Sampling and Sampling Distributions

Confidence Interval Estimation

Hypothesis Testing

Regression Analysis: Statistical Inference

Time Series Analysis and Forecasting

Introduction to Optimization Modeling

Optimization Modeling: Applications

Introduction to Simulation Modeling

Simulation Models

Filters

Exam 10: Regression Analysis: Estimating Relationships

A negative relationship between an explanatory variable X and a response variable Y means that as X increases,Y decreases,and vice versa.

A "fan" shape in a scatterplot indicates:

An outlier is an observation that falls outside of the general pattern of the rest of the observations on a scatterplot.

Obtain a scatterplot of Maintenance Cost vs.Service Interval.Does this affect your opinion of the validity of the model in Question 135?

The two primary objectives of regression analysis are to study relationships between variables and to use those relationships to make predictions.

We should include an interaction variable in a regression model if we believe that the effect of one explanatory variable on the response variable Y depends on the value of another explanatory variable .

In regression analysis,the variable we are trying to explain or predict is called the

The regression line = 3 + 2X has been fitted to the data points (4,14),(2,7),and (1,4).The sum of the residuals squared will be 8.0.

The adjusted R2 adjusts R2 for:

In choosing the "best-fitting" line through a set of points in linear regression,we choose the one with the:

In linear regression,we fit the least squares line to a set of values (or points on a scatterplot).The distance from the line to a point is called the:

The R2 can only increase when extra explanatory variables are added to a multiple regression model

In regression analysis,the variables used to help explain or predict the response variable are called the

If a scatterplot of residuals shows a parabola shape,then a logarithmic transformation may be useful in obtaining a better fit

Cross-sectional data are usually data gathered from approximately the same period of time from a cross-sectional of a population.

An interaction variable is the product of an explanatory variable and the dependent variable.

The weakness of scatterplots is that they:

Introduction to Data Analysis and Decision Making

Describing the Distribution of a Single Variable

Finding Relationships Among Variables

Probability and Probability Distributions

Normal, binomial, poisson, and Exponential Distributions

Decision Making Under Uncertainty

Sampling and Sampling Distributions

Confidence Interval Estimation

Hypothesis Testing

Regression Analysis: Statistical Inference

Time Series Analysis and Forecasting

Introduction to Optimization Modeling

Optimization Modeling: Applications

Introduction to Simulation Modeling

Simulation Models

Filters

The adjusted R² adjusts R² for:

The R² can only increase when extra explanatory variables are added to a multiple regression model