Question 1

Part of an Excel output relating X (independent variable) and Y (dependent variable) is shown below. Fill in all the blanks marked with "?".

Accepted Answer

The answer of Part of an Excel output relating X...

Question 2

Exhibit 12-9
A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).
  
-Refer to Exhibit 12-9. The least squares estimate of b0 equals

Accepted Answer

A) 0.923 
B) 1.991 
C) -1.991 
D) -0.923 
A) 0.923 
B) 1.991 
C) -1.991 
D) -0.923

Question 3

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. The t statistic for testing the significance of the slope is

Accepted Answer

A) 1.80 
B) 1.96 
C) 6.708 
D) 0.555 
A) 1.80 
B) 1.96 
C) 6.708 
D) 0.555

Question 4

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. The critical t value for testing the significance of the slope at 95% confidence is

Accepted Answer

A) 1.753 
B) 2.131 
C) 1.746 
D) 2.120 
A) 1.753 
B) 2.131 
C) 1.746 
D) 2.120

Question 5

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

Accepted Answer

A) is 0.6561 
B) could be either + 0.9 or - 0.9 
C) must be positive 
D) must be negative 
A) is 0.6561 
B) could be either + 0.9 or - 0.9 
C) must be positive 
D) must be negative

Question 6

Exhibit 12-3
You are given the following information about y and x.
  
-Refer to Exhibit 12-3. The sample correlation coefficient equals

Accepted Answer

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

Question 7

Exhibit 12-2
You are given the following information about y and x.
  
-Refer to Exhibit 12-2. The point estimate of y when x = 10 is

Accepted Answer

A) -10 
B) 10 
C) -4 
D) 4 
A) -10 
B) 10 
C) -4 
D) 4

Question 8

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 MSE is

Accepted Answer

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

Question 9

Below you are given information on annual income and years of college education.
   
a.Develop the least squares regression equation.
b.Estimate the yearly income of an individual with 6 years of college education.
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.@#IMG-DLM&= 25.6 + 5.2X
b.$56,800
c.0.939
d.t =

Question 10

If the coefficient of correlation is a positive value, then

Accepted Answer

A) the intercept must also be positive 
B) the coefficient of determination can be either negative or positive, depending on the value of the slope 
C) the regression equation could have either a positive or a negative slope 
D) the slope of the line must be positive 
A) the intercept must also be positive 
B) the coefficient of determination can be either negative or positive, depending on the value of the slope 
C) the regression equation could have either a positive or a negative slope 
D) the slope of the line must be positive

Question 11

It is possible for the coefficient of determination to be

Accepted Answer

A) larger than 1 
B) less than one 
C) less than -1 
D) None of these alternatives is correct. 
A) larger than 1 
B) less than one 
C) less than -1 
D) None of these alternatives is correct.

Question 12

If the coefficient of correlation is -0.4, then the slope of the regression line

Accepted Answer

A) must also be -0.4 
B) can be either negative or positive 
C) must be negative 
D) must be 0.16 
A) must also be -0.4 
B) can be either negative or positive 
C) must be negative 
D) must be 0.16

Question 13

Compared to the confidence interval estimate for a particular value of y (in a linear regression model), the interval estimate for an average value of y will be

Accepted Answer

A) narrower 
B) wider 
C) the same 
D) None of these alternatives is correct. 
A) narrower 
B) wider 
C) the same 
D) None of these alternatives is correct.

Question 14

Regression analysis was applied between sales (in $10,000) and advertising (in $100) and the following regression function was obtained.  = 50 + 8 X
Based on the above estimated regression line if advertising is $1,000, then the point estimate for sales (in dollars) is

Accepted Answer

A) $8,050 
B) $130 
C) $130,000 
D) $1,300,000 
A) $8,050 
B) $130 
C) $130,000 
D) $1,300,000

Question 15

Regression analysis was applied between sales (in $1000) and advertising (in $100) and the following regression function was obtained.   = 500 + 4 X
Based on the above estimated regression line if advertising is $10,000, then the point estimate for sales (in dollars) is

Accepted Answer

A) $900 
B) $900,000 
C) $40,500 
D) $505,000 
A) $900 
B) $900,000 
C) $40,500 
D) $505,000

Question 16

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& = 13.251 + 0.803x
b.t = 2.086; p-val

Question 17

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 18

Exhibit 12-8
The following information regarding a dependent variable Y and an independent variable X is provided
  
-Refer to Exhibit 12-8. The Y intercept is

Accepted Answer

A) -0.667 
B) 0.667 
C) 100 
D) -100 
A) -0.667 
B) 0.667 
C) 100 
D) -100

Question 19

If the coefficient of correlation is 0.90, then the coefficient of determination

Accepted Answer

A) is also 0.9 
B) is either 0.81 or -0.81 
C) can be either negative or positive 
D) must be 0.81 
A) is also 0.9 
B) is either 0.81 or -0.81 
C) can be either negative or positive 
D) must be 0.81

Question 20

If there is a very strong 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) any value larger than 1 
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) any value larger than 1 
D) None of these alternatives is correct.

Part of an Excel output relating X (independent variable) and Y (dependent variable) is shown below. Fill in all the blanks marked with "?".

Exhibit 12-9 A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 12-9. The least squares estimate of b₀ equals

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 S_b₁ = 0.2683 -Refer to Exhibit 12-4. The t statistic for testing the significance of the slope is

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

Exhibit 12-3 You are given the following information about y and x. -Refer to Exhibit 12-3. The sample correlation coefficient equals

Exhibit 12-2 You are given the following information about y and x. -Refer to Exhibit 12-2. The point estimate of y when x = 10 is

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 MSE is

If the coefficient of correlation is a positive value, then

It is possible for the coefficient of determination to be

If the coefficient of correlation is -0.4, then the slope of the regression line

Compared to the confidence interval estimate for a particular value of y (in a linear regression model), the interval estimate for an average value of y will be

Regression analysis was applied between sales (in $10,000) and advertising (in $100) and the following regression function was obtained. = 50 + 8 X Based on the above estimated regression line if advertising is $1,000, then the point estimate for sales (in dollars) is

Regression analysis was applied between sales (in $1000) and advertising (in $100) and the following regression function was obtained. = 500 + 4 X Based on the above estimated regression line if advertising is $10,000, then the point estimate for sales (in dollars) is

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

Exhibit 12-8 The following information regarding a dependent variable Y and an independent variable X is provided -Refer to Exhibit 12-8. The Y intercept is

If the coefficient of correlation is 0.90, then the coefficient of determination

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

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

Exam 12: Simple Linear Regression

Part of an Excel output relating X (independent variable) and Y (dependent variable) is shown below. Fill in all the blanks marked with "?".

Exhibit 12-9 A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 12-9. The least squares estimate of b0 equals

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 Sb1 = 0.2683 -Refer to Exhibit 12-4. The t statistic for testing the significance of the slope is

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

Exhibit 12-3 You are given the following information about y and x. -Refer to Exhibit 12-3. The sample correlation coefficient equals

Exhibit 12-2 You are given the following information about y and x. -Refer to Exhibit 12-2. The point estimate of y when x = 10 is

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 MSE is

If the coefficient of correlation is a positive value, then

It is possible for the coefficient of determination to be

If the coefficient of correlation is -0.4, then the slope of the regression line

Compared to the confidence interval estimate for a particular value of y (in a linear regression model), the interval estimate for an average value of y will be

Regression analysis was applied between sales (in $10,000) and advertising (in $100) and the following regression function was obtained. = 50 + 8 X Based on the above estimated regression line if advertising is $1,000, then the point estimate for sales (in dollars) is

Regression analysis was applied between sales (in $1000) and advertising (in $100) and the following regression function was obtained. = 500 + 4 X Based on the above estimated regression line if advertising is $10,000, then the point estimate for sales (in dollars) is

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

Exhibit 12-8 The following information regarding a dependent variable Y and an independent variable X is provided -Refer to Exhibit 12-8. The Y intercept is

If the coefficient of correlation is 0.90, then the coefficient of determination

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

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 12-9 A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 12-9. The least squares estimate of b₀ equals

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 S_b₁ = 0.2683 -Refer to Exhibit 12-4. The t statistic for testing the significance of the slope is