Question 1

Exhibit 14-6
For the following data the value of SSE = 0.4130.
  
-Refer to Exhibit 14-6.The total sum of squares (SST)equals

Accepted Answer

A) 36 
B) 18 
C) 9 
D) 1296 
A) 36 
B) 18 
C) 9 
D) 1296

Question 2

If all the points of a scatter diagram lie on the least squares regression line,then the coefficient of determination for these variables based on these data is

Accepted Answer

A) 0 
B) 1 
C) either 1 or -1,depending upon whether the relationship is positive or negative 
D) could be any value between -1 and 1 
A) 0 
B) 1 
C) either 1 or -1,depending upon whether the relationship is positive or negative 
D) could be any value between -1 and 1

Question 3

If there is a very weak correlation between two variables,then the coefficient of determination must be

Accepted Answer

A) much larger than 1,if the correlation is positive 
B) much smaller than -1,if the correlation is negative 
C) much larger than one 
D) None of these alternatives is correct. 
A) much larger than 1,if the correlation is positive 
B) much smaller than -1,if the correlation is negative 
C) much larger than one 
D) None of these alternatives is correct.

Question 4

In a regression analysis if SST = 4500 and SSE = 1575,then the coefficient of determination is

Accepted Answer

A) 0.35 
B) 0.65 
C) 2.85 
D) 0.45 
A) 0.35 
B) 0.65 
C) 2.85 
D) 0.45

Question 5

Exhibit 14-10
The following information regarding a dependent variable Y and an independent variable X is provided.
  
-Refer to Exhibit 14-10.The coefficient of determination is

Accepted Answer

A) 0.1905 
B) -0.1905 
C) 0.4364 
D) -0.4364 
A) 0.1905 
B) -0.1905 
C) 0.4364 
D) -0.4364

Question 6

A regression analysis between demand (Y in 1000 units)and price (X in dollars)resulted in the following equation

= 9 - 3X
The above equation implies that if the price is increased by $1,the demand is expected to

Accepted Answer

A) increase by 6 units 
B) decrease by 3 units 
C) decrease by 6,000 units 
D) decrease by 3,000 units 
A) increase by 6 units 
B) decrease by 3 units 
C) decrease by 6,000 units 
D) decrease by 3,000 units

Question 7

The coefficient of determination

Accepted Answer

A) cannot be negative 
B) is the square root of the coefficient of correlation 
C) is the same as the coefficient of correlation 
D) can be negative or positive 
A) cannot be negative 
B) is the square root of the coefficient of correlation 
C) is the same as the coefficient of correlation 
D) can be negative or positive

Question 8

The equation that describes how the dependent variable (y)is related to the independent variable (x)is called

Accepted Answer

A) the correlation model 
B) the regression model 
C) correlation analysis 
D) None of these alternatives is correct. 
A) the correlation model 
B) the regression model 
C) correlation analysis 
D) None of these alternatives is correct.

Question 9

Regression analysis is a statistical procedure for developing a mathematical equation that describes how

Accepted Answer

A) one independent and one or more dependent variables are related 
B) several independent and several dependent variables are related 
C) one dependent and one or more independent variables are related 
D) None of these alternatives is correct. 
A) one independent and one or more dependent variables are related 
B) several independent and several dependent variables are related 
C) one dependent and one or more independent variables are related 
D) None of these alternatives is correct.

Question 10

The following data shows the yearly income (in $1,000)and age of a sample of seven individuals.
   
a.Develop the least squares regression equation.
b.Estimate the yearly income of a 30-year-old individual.
c.Compute the coefficient of determination.
d.Use a t test to determine whether the slope is significantly different from zero.Let $\alpha$ = 0.05.
e.At 95% confidence,perform an F test and determine whether or not the model is significant.

Accepted Answer

a.
= 16.204 + 0.3848X
b.$27,748
c.0.2266

Question 11

Exhibit 14-4
Regression analysis was applied between sales data (Y in $1,000s)and advertising data (x in $100s)and the following information was obtained.
  
= 12 + 1.8 x
n = 17
SSR = 225
SSE = 75
SS1U1B1b1S1U1B0 = 0.2683
-Refer to Exhibit 14-4.The F statistic computed from the above data is

Accepted Answer

A) 3 
B) 45 
C) 48 
D) 50 
A) 3 
B) 45 
C) 48 
D) 50

Question 12

In a regression analysis,the variable that is being predicted

Accepted Answer

A) must have the same units as the variable doing the predicting 
B) is the independent variable 
C) is the dependent variable 
D) usually is denoted by x 
A) must have the same units as the variable doing the predicting 
B) is the independent variable 
C) is the dependent variable 
D) usually is denoted by x

Question 13

Exhibit 14-10
The following information regarding a dependent variable Y and an independent variable X is provided.
  
-Refer to Exhibit 14-10.The point estimate of Y when X = -3 is

Accepted Answer

A) 11 
B) 14 
C) 8 
D) 0 
A) 11 
B) 14 
C) 8 
D) 0

Question 14

Exhibit 14-10
The following information regarding a dependent variable Y and an independent variable X is provided.
  
-Refer to Exhibit 14-10.The slope of the regression function is

Accepted Answer

A) -1 
B) 1.0 
C) 11 
D) 0.0 
A) -1 
B) 1.0 
C) 11 
D) 0.0

Question 15

The following data represent the number of flash drives sold per day at a local computer shop and their prices.
   
a.Develop a least-squares regression line and explain what the slope of the line indicates.
b.Compute the coefficient of determination and comment on the strength of relationship between x and y.
c.Compute the sample correlation coefficient between the price and the number of flash drives sold.Use $\alpha$= 0.01 to test the relationship between x and y.

Accepted Answer

a.= 29.7857 - 0.7286x
The slope indicate

Question 16

The interval estimate of the mean value of y for a given value of x is

Accepted Answer

A) prediction interval estimate 
B) confidence interval estimate 
C) average regression 
D) x versus y correlation interval 
A) prediction interval estimate 
B) confidence interval estimate 
C) average regression 
D) x versus y correlation interval

Question 17

In regression analysis if the dependent variable is measured in dollars,the independent variable

Accepted Answer

A) must also be in dollars 
B) must be in some units of currency 
C) can be any units 
D) cannot be in dollars 
A) must also be in dollars 
B) must be in some units of currency 
C) can be any units 
D) cannot be in dollars

Question 18

In regression analysis,the variable that is being predicted is the

Accepted Answer

A) dependent variable 
B) independent variable 
C) intervening variable 
D) is usually x 
A) dependent variable 
B) independent variable 
C) intervening variable 
D) is usually x

Question 19

If the coefficient of correlation is 0.4,the percentage of variation in the dependent variable explained by the variation in the independent variable

Accepted Answer

A) is 40% 
B) is 16%. 
C) is 4% 
D) can be any positive value 
A) is 40% 
B) is 16%. 
C) is 4% 
D) can be any positive value

Question 20

Exhibit 14-2
You are given the following information about y and x.
  
-Refer to Exhibit 14-2.The least squares estimate of b1 (slope)equals

Accepted Answer

A) 1 
B) -1 
C) 6 
D) 5 
A) 1 
B) -1 
C) 6 
D) 5

Exhibit 14-6 For the following data the value of SSE = 0.4130. -Refer to Exhibit 14-6.The total sum of squares (SST)equals

If all the points of a scatter diagram lie on the least squares regression line,then the coefficient of determination for these variables based on these data is

If there is a very weak correlation between two variables,then the coefficient of determination must be

In a regression analysis if SST = 4500 and SSE = 1575,then the coefficient of determination is

Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided. -Refer to Exhibit 14-10.The coefficient of determination is

A regression analysis between demand (Y in 1000 units)and price (X in dollars)resulted in the following equation = 9 - 3X The above equation implies that if the price is increased by $1,the demand is expected to

The coefficient of determination

The equation that describes how the dependent variable (y)is related to the independent variable (x)is called

Regression analysis is a statistical procedure for developing a mathematical equation that describes how

Exhibit 14-4 Regression analysis was applied between sales data (Y in $1,000s)and advertising data (x in $100s)and the following information was obtained. = 12 + 1.8 x n = 17 SSR = 225 SSE = 75 S_b1 = 0.2683 -Refer to Exhibit 14-4.The F statistic computed from the above data is

In a regression analysis,the variable that is being predicted

Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided. -Refer to Exhibit 14-10.The point estimate of Y when X = -3 is

Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided. -Refer to Exhibit 14-10.The slope of the regression function is

The interval estimate of the mean value of y for a given value of x is

In regression analysis if the dependent variable is measured in dollars,the independent variable

In regression analysis,the variable that is being predicted is the

If the coefficient of correlation is 0.4,the percentage of variation in the dependent variable explained by the variation in the independent variable

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2.The least squares estimate of b₁ (slope)equals

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Statistical Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit and Independence

Analysis of Variance and Experimental Design

Multiple Regression

Regression Analysis: Model Building

Index Numbers

Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Exam 14: Simple Linear Regression

Exhibit 14-6 For the following data the value of SSE = 0.4130. -Refer to Exhibit 14-6.The total sum of squares (SST)equals

If all the points of a scatter diagram lie on the least squares regression line,then the coefficient of determination for these variables based on these data is

If there is a very weak correlation between two variables,then the coefficient of determination must be

In a regression analysis if SST = 4500 and SSE = 1575,then the coefficient of determination is

Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided. -Refer to Exhibit 14-10.The coefficient of determination is

A regression analysis between demand (Y in 1000 units)and price (X in dollars)resulted in the following equation = 9 - 3X The above equation implies that if the price is increased by $1,the demand is expected to

The coefficient of determination

The equation that describes how the dependent variable (y)is related to the independent variable (x)is called

Regression analysis is a statistical procedure for developing a mathematical equation that describes how

Exhibit 14-4 Regression analysis was applied between sales data (Y in $1,000s)and advertising data (x in $100s)and the following information was obtained. = 12 + 1.8 x n = 17 SSR = 225 SSE = 75 Sb1 = 0.2683 -Refer to Exhibit 14-4.The F statistic computed from the above data is

In a regression analysis,the variable that is being predicted

Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided. -Refer to Exhibit 14-10.The point estimate of Y when X = -3 is

Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided. -Refer to Exhibit 14-10.The slope of the regression function is

The interval estimate of the mean value of y for a given value of x is

In regression analysis if the dependent variable is measured in dollars,the independent variable

In regression analysis,the variable that is being predicted is the

If the coefficient of correlation is 0.4,the percentage of variation in the dependent variable explained by the variation in the independent variable

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2.The least squares estimate of b1 (slope)equals

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Statistical Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit and Independence

Analysis of Variance and Experimental Design

Multiple Regression

Regression Analysis: Model Building

Index Numbers

Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Exhibit 14-4 Regression analysis was applied between sales data (Y in $1,000s)and advertising data (x in $100s)and the following information was obtained. = 12 + 1.8 x n = 17 SSR = 225 SSE = 75 S_b1 = 0.2683 -Refer to Exhibit 14-4.The F statistic computed from the above data is

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2.The least squares estimate of b₁ (slope)equals