Question 1

The standard error is the

Accepted Answer

A) t-statistic squared 
B) square root of SSE 
C) square root of SST 
D) square root of MSE 
A) t-statistic squared 
B) square root of SSE 
C) square root of SST 
D) square root of MSE

Question 2

If the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the variation in the independent variable is

Accepted Answer

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

Question 3

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) x intercept 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) x intercept can be computed

Question 4

In a regression analysis, the coefficient of correlation is 0.16. The coefficient of determination in this situation is

Accepted Answer

A) 0.4000 
B) 0.0256 
C) 4 
D) 2.56 
A) 0.4000 
B) 0.0256 
C) 4 
D) 2.56

Question 5

Below you are given a partial computer output based on a sample of 8 observations, relating an independent variable (x) and a dependent variable (y).
     
a.Develop the estimated regression line.
b.At $\alpha$ = 0.05, test for the significance of the slope.
c.At $\alpha$ = 0.05, perform an F test.
d.Determine the coefficient of determination.

Accepted Answer

a.@#IMG-DLM& = -9.462 + 0.769x
b.t = 4.17; p-value

Question 6

The coefficient of correlation

Accepted Answer

A) is the square of the coefficient of determination 
B) is the square root of the coefficient of determination 
C) is the same as r-square 
D) can never be negative 
A) is the square of the coefficient of determination 
B) is the square root of the coefficient of determination 
C) is the same as r-square 
D) can never be negative

Question 7

In a regression analysis if SST = 500 and SSE = 300, then the coefficient of determination is

Accepted Answer

A) 0.20 
B) 1.67 
C) 0.60 
D) 0.40 
A) 0.20 
B) 1.67 
C) 0.60 
D) 0.40

Question 8

A regression and correlation analysis resulted in the following information regarding an independent variable (x) and a dependent variable (y).
   
a.Develop the least squares estimated regression equation.
b.At 95% confidence, perform a t test and determine whether or not the slope is significantly different from zero.
c.Perform an F test to determine whether or not the model is significant. Let $\alpha$ = 0.05.
d.Compute the coefficient of determination.

Accepted Answer

a.@#IMG-DLM& = 6.3571 + 0.4405x
b.p-valu

Question 9

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.58.11

Question 10

Exhibit 12-2
You are given the following information about y and x.
  
-Refer to Exhibit 12-2. The coefficient of determination equals

Accepted Answer

A) 0 
B) -1 
C) +1 
D) -0.5 
A) 0 
B) -1 
C) +1 
D) -0.5

Question 11

Researchers have collected data on the hours of television watched in a day and the age of a person. You are given the data below.
   
a.Determine which variable is the dependent variable.
b.Compute the least squares estimated line.
c.Is there a significant relationship between the two variables? Use a .05 level of significance. Be sure to state the null and alternative hypotheses.
d.Compute the coefficient of determination. How would you interpret this value?

Accepted Answer

a.Hours of Television
b.@#IMG-DLM& = 6.564 - 0.124

Question 12

A least squares regression line

Accepted Answer

A) may be used to predict a value of y if the corresponding x value is given 
B) implies a cause-effect relationship between x and y 
C) can only be determined if a good linear relationship exists between x and y 
D) None of these alternatives is correct. 
A) may be used to predict a value of y if the corresponding x value is given 
B) implies a cause-effect relationship between x and y 
C) can only be determined if a good linear relationship exists between x and y 
D) None of these alternatives is correct.

Question 13

Given below are five observations collected in a regression study on two variables, x (independent variable) and y (dependent variable).
   
a.Develop the least squares estimated regression equation.
b.At 95% confidence, perform a t test and determine whether or not the slope is significantly different from zero.
c.Perform an F test to determine whether or not the model is significant. Let $\alpha$ = 0.05.
d.Compute the coefficient of determination.
e.
Compute the coefficient of correlation.

Accepted Answer

@#IMG-DLM& @#IMG-DLM& @#IMG-DLM& 
a.@#IMG-DLM& = 6 - 0.8 x
b.p-value <

Question 14

In a regression analysis, the regression equation is given by y = 12 - 6x. If SSE = 510 and SST = 1000, then the coefficient of correlation is

Accepted Answer

A) -0.7 
B) +0.7 
C) 0.49 
D) -0.49 
A) -0.7 
B) +0.7 
C) 0.49 
D) -0.49

Question 15

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 16

Exhibit 12-7
You are given the following information about y and x.
  
-Refer to Exhibit 12-7. The least squares estimate of b1 (slope) equals

Accepted Answer

A) -10 
B) 10 
C) 0.5 
D) -0.5 
A) -10 
B) 10 
C) 0.5 
D) -0.5

Question 17

Exhibit 12-1
The following information regarding a dependent variable (Y) and an independent variable (X) is provided.   SSE = 6
SST = 16
-Refer to Exhibit 12-1. The least squares estimate of the Y intercept is

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
A) 1 
B) 2 
C) 3 
D) 4

Question 18

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 19

Exhibit 12-7
You are given the following information about y and x.
  
-Refer to Exhibit 12-7. The coefficient of determination equals

Accepted Answer

A) 0.3162 
B) -0.3162 
C) 0.10 
D) -0.10 
A) 0.3162 
B) -0.3162 
C) 0.10 
D) -0.10

Question 20

Exhibit 12-4
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
SS1U1B1bS1U1B0S1U1B11S1U1B0 = 0.2683
-Refer to Exhibit 12-4. Based on the above estimated regression equation, if advertising is $3,000, then the point estimate for sales (in dollars) is

Accepted Answer

A) $66,000 
B) $5,412 
C) $66 
D) $17,400 
A) $66,000 
B) $5,412 
C) $66 
D) $17,400

The standard error is the

If the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the variation in the independent variable is

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

In a regression analysis, the coefficient of correlation is 0.16. The coefficient of determination in this situation is

The coefficient of correlation

In a regression analysis if SST = 500 and SSE = 300, then the coefficient of determination is

Exhibit 12-2 You are given the following information about y and x. -Refer to Exhibit 12-2. The coefficient of determination equals

A least squares regression line

In a regression analysis, the regression equation is given by y = 12 - 6x. If SSE = 510 and SST = 1000, then the coefficient of correlation is

The coefficient of determination

Exhibit 12-7 You are given the following information about y and x. -Refer to Exhibit 12-7. The least squares estimate of b₁ (slope) equals

Exhibit 12-1 The following information regarding a dependent variable (Y) and an independent variable (X) is provided. SSE = 6 SST = 16 -Refer to Exhibit 12-1. The least squares estimate of the Y intercept is

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

Exhibit 12-7 You are given the following information about y and x. -Refer to Exhibit 12-7. The coefficient of determination equals

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Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design and Analysis of Variance

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Multiple Regression

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Exam 12: Simple Linear Regression

The standard error is the

If the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the variation in the independent variable is

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

In a regression analysis, the coefficient of correlation is 0.16. The coefficient of determination in this situation is

The coefficient of correlation

In a regression analysis if SST = 500 and SSE = 300, then the coefficient of determination is

Exhibit 12-2 You are given the following information about y and x. -Refer to Exhibit 12-2. The coefficient of determination equals

A least squares regression line

In a regression analysis, the regression equation is given by y = 12 - 6x. If SSE = 510 and SST = 1000, then the coefficient of correlation is

The coefficient of determination

Exhibit 12-7 You are given the following information about y and x. -Refer to Exhibit 12-7. The least squares estimate of b1 (slope) equals

Exhibit 12-1 The following information regarding a dependent variable (Y) and an independent variable (X) is provided. SSE = 6 SST = 16 -Refer to Exhibit 12-1. The least squares estimate of the Y intercept is

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

Exhibit 12-7 You are given the following information about y and x. -Refer to Exhibit 12-7. The coefficient of determination 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

Comparisons Involving Means, Experimental Design and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Multiple Regression

Filters

Exhibit 12-7 You are given the following information about y and x. -Refer to Exhibit 12-7. The least squares estimate of b₁ (slope) equals