Question 1

In regression and correlation analysis, if SSE and SST are known, then with this information the

Accepted Answer

A) coefficient of determination can be computed 
B) slope of the line can be computed 
C) y intercept can be computed 
D) All of the above can be computed. 
A) coefficient of determination can be computed 
B) slope of the line can be computed 
C) y intercept can be computed 
D) All of the above can be computed.

Question 2

Exhibit 14-2
You are given the following information about y and x.  
-Refer to Exhibit 14-2. The least squares estimate of b0 equals

Accepted Answer

A) -7.647 
B) -1.3 
C) 21.4 
D) 16.41176 
A) -7.647 
B) -1.3 
C) 21.4 
D) 16.41176

Question 3

Exhibit 14-6
You are given the following information about y and x.  
-Refer to Exhibit 14-6. The least squares estimate of b0 equals

Accepted Answer

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

Question 4

Exhibit 14-6
You are given the following information about y and x.  
-Shown below is a portion of a computer output for a regression analysis relating y (dependent variable) and x (independent variable).   
a.Perform a t test and determine whether or not y and x are related. Use $\alpha$ = 0.05.
b.Compute the coefficient of determination and fully interpret the meaning. Be very specific.

Accepted Answer

a.Since the test statistic t =

Question 5

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 6

In simple linear regression analysis, which of the following is not true?

Accepted Answer

A) The F test and the t test yield the same results. 
B) The F test and the t test may or may not yield the same results. 
C) The relationship between x and y is represented by means of a straight line. 
D) The value of F = t2. 
A) The F test and the t test yield the same results. 
B) The F test and the t test may or may not yield the same results. 
C) The relationship between x and y is represented by means of a straight line. 
D) The value of F = t2.

Question 7

Exhibit 14-6
You are given the following information about y and x.  
-Assume you have noted the following prices for books and the number of pages that each book contains.   
a.Perform an F test and determine if the price and the number of pages of the books are related. Let $\alpha$ = 0.01.
b.Perform a t test and determine if the price and the number of pages of the books are related. Let $\alpha$ = 0.01.
c.Develop a 90% confidence interval for estimating the average price of books that contain 800 pages.
d.Develop a 90% confidence interval to estimate the price of a specific book that has 800 pages.

Accepted Answer

a.F = 6.439 < 16.26; p-value is between

Question 8

The difference between the observed value of the dependent variable and the value predicted by using the estimated regression equation is the

Accepted Answer

A) standard error 
B) residual 
C) prediction interval 
D) variance 
A) standard error 
B) residual 
C) prediction interval 
D) variance

Question 9

If the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the estimated regression equation is

Accepted Answer

A) 0.80% 
B) 80% 
C) 0.64% 
D) 64% 
A) 0.80% 
B) 80% 
C) 0.64% 
D) 64%

Question 10

In a regression analysis if SSE = 200 and SSR = 300, then the coefficient of determination is

Accepted Answer

A) 0.6667 
B) 0.6000 
C) 0.4000 
D) 1.5000 
A) 0.6667 
B) 0.6000 
C) 0.4000 
D) 1.5000

Question 11

In a regression analysis if r2 = 1, then

Accepted Answer

A) SSE =SST 
B) SSE = 1 
C) SSR = SSE 
D) SSR = SST 
A) SSE =SST 
B) SSE = 1 
C) SSR = SSE 
D) SSR = SST

Question 12

Application of the least squares method results in values of the y intercept and the slope that minimizes the sum of the squared deviations between the

Accepted Answer

A) observed values of the independent variable and the predicted values of the independent variable 
B) actual values of the independent variable and predicted values of the dependent variable 
C) observed values of the dependent variable and the predicted values of the dependent variable 
D) None of these answers is correct. 
A) observed values of the independent variable and the predicted values of the independent variable 
B) actual values of the independent variable and predicted values of the dependent variable 
C) observed values of the dependent variable and the predicted values of the dependent variable 
D) None of these answers is correct.

Question 13

If the coefficient of determination is 0.81, the coefficient of correlation

Accepted Answer

A) is 0.6561 
B) must be 0.9 
C) must be positive 
D) None of these answers is correct. 
A) is 0.6561 
B) must be 0.9 
C) must be positive 
D) None of these answers is correct.

Question 14

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

Question 15

Exhibit 14-6
You are given the following information about y and x.  
-The primary tool or measure for determining whether the assumed regression model is appropriate is

Accepted Answer

A) the F test 
B) residual analysis 
C) the R2 value 
D) the correlation coefficient 
A) the F test 
B) residual analysis 
C) the R2 value 
D) the correlation coefficient

Question 16

Exhibit 14-6
You are given the following information about y and x.  
-We are interested in determining the relationship between daily supply (y) and the unit price (x) for a particular item. A sample of ten days supply and associated price resulted in the following data.   
a.Develop the least square estimated regression equation.
b.Compute the coefficient of determination and fully explain its meaning.
c.At $\alpha$ = 0.05, perform a t-test and determine if the slope is significantly different from zero.

Accepted Answer

a.= 0.646 + 0.978x
b.0.8567; 8

Question 17

Shown below is a portion of a computer output for a regression analysis relating Y (dependent variable) and X (independent variable).   
a.Perform a t test using the p-value approach and determine whether or not Y and X are related. Let $\alpha$ = 0.05.
b.Using the p-value approach, perform an F test and determine whether or not X and Y are related.
c.Compute the coefficient of determination and fully interpret its meaning. Be very specific.

Accepted Answer

a. and b. @#IMG-DLM& @#IMG-DLM& @#IMG-DLM& 
c.58.1

Question 18

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 19

Exhibit 14-6
You are given the following information about y and x.  
-The standardized residual is provided by dividing each residual by

Accepted Answer

A) its mean residual 
B) its corresponding x value 
C) its standard deviation 
D) its z-score 
A) its mean residual 
B) its corresponding x value 
C) its standard deviation 
D) its z-score

Question 20

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

In regression and correlation analysis, if SSE and SST are known, then with this information the

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2. The least squares estimate of b₀ equals

Exhibit 14-6 You are given the following information about y and x. -Refer to Exhibit 14-6. The least squares estimate of b₀ equals

In a regression analysis, the variable that is being predicted

In simple linear regression analysis, which of the following is not true?

The difference between the observed value of the dependent variable and the value predicted by using the estimated regression equation is the

If the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the estimated regression equation is

In a regression analysis if SSE = 200 and SSR = 300, then the coefficient of determination is

In a regression analysis if r² = 1, then

Application of the least squares method results in values of the y intercept and the slope that minimizes the sum of the squared deviations between the

If the coefficient of determination is 0.81, the coefficient of correlation

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

Exhibit 14-6 You are given the following information about y and x. -The primary tool or measure for determining whether the assumed regression model is appropriate 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

Exhibit 14-6 You are given the following information about y and x. -The standardized residual is provided by dividing each residual by

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

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit, Independence and Multiple Proportions

Experimental Design and Analysis of Variance

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Exam 14: Simple Linear Regression

In regression and correlation analysis, if SSE and SST are known, then with this information the

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2. The least squares estimate of b0 equals

Exhibit 14-6 You are given the following information about y and x. -Refer to Exhibit 14-6. The least squares estimate of b0 equals

In a regression analysis, the variable that is being predicted

In simple linear regression analysis, which of the following is not true?

The difference between the observed value of the dependent variable and the value predicted by using the estimated regression equation is the

If the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the estimated regression equation is

In a regression analysis if SSE = 200 and SSR = 300, then the coefficient of determination is

In a regression analysis if r2 = 1, then

Application of the least squares method results in values of the y intercept and the slope that minimizes the sum of the squared deviations between the

If the coefficient of determination is 0.81, the coefficient of correlation

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

Exhibit 14-6 You are given the following information about y and x. -The primary tool or measure for determining whether the assumed regression model is appropriate 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

Exhibit 14-6 You are given the following information about y and x. -The standardized residual is provided by dividing each residual by

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

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit, Independence and Multiple Proportions

Experimental Design and Analysis of Variance

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2. The least squares estimate of b₀ equals

Exhibit 14-6 You are given the following information about y and x. -Refer to Exhibit 14-6. The least squares estimate of b₀ equals

In a regression analysis if r² = 1, then