Question 1

The model y = β₀ + β₁x₁ + β₂x₂ + β₃x₁x₂ + ε is a(n)____________________-order polynomial model with ____________________ predictor variables and ____________________.

Accepted Answer

The answer of The model y = β₀ + β₁x₁...

Question 2

____________________ means that the effect of x₁ on y is influenced by the value of x₂,and vice versa.

Accepted Answer

The answer of ____________________ means that the effect of x₁...

Question 3

Computer Training 
Consider the following data for two variables,x and y.The independent variable x represents the amount of training time (in hours)for a salesperson starting in a new computer store to adjust fully,and the dependent variable y represents the weekly sales (in $1000s).  Use statistical software to answer the following question(s). ​ ​
-{Computer Training Narrative} Estimate the value of y when x = 45 using the estimated linear regression equation in the previous question.

Accepted Answer

The answer of  Computer Training 
Consider the following data...

Question 4

The model y = β₀ + β₁x₁ + β₂x₂ + ε is a(n)____________________-order polynomial model with ____________________ predictor variable(s).

Accepted Answer

The answer of The model y = β₀ + β₁x₁...

Question 5

In a first-order polynomial model with no interaction,the effect of x₁ on y remains the same no matter what the value of x₂ is.The graph of this model produces straight lines that are ____________________ to each other.

Accepted Answer

The answer of In a first-order polynomial model with no...

Question 6

Computer Training 
Consider the following data for two variables,x and y.The independent variable x represents the amount of training time (in hours)for a salesperson starting in a new computer store to adjust fully,and the dependent variable y represents the weekly sales (in $1000s).  Use statistical software to answer the following question(s). ​ ​
-{Computer Training Narrative} Find the coefficient of determination of this simple linear model.What does this statistic tell you about the model?

Accepted Answer

The answer of  Computer Training 
Consider the following data...

Question 7

Computer Training 
Consider the following data for two variables,x and y.The independent variable x represents the amount of training time (in hours)for a salesperson starting in a new computer store to adjust fully,and the dependent variable y represents the weekly sales (in $1000s).  Use statistical software to answer the following question(s). ​ ​
-{Computer Training Narrative} Use the quadratic model to predict the value of y when x = 45.

Accepted Answer

The answer of  Computer Training 
Consider the following data...

Question 8

Hockey Teams
 An avid hockey fan was in the process of examining the factors that determine the success or failure of hockey teams.He noticed that teams with many rookies and teams with many veterans seem to do quite poorly.To further analyze his beliefs he took a random sample of 20 teams and proposed a second-order model with one independent variable,average years of professional experience.The selected model is y = βS1U1B10S1U1B0 + βS1U1B11S1U1B0x + βS1U1B12S1U1B0xS1U1P12S1S1P0 + ε,where y = winning team's percentage,and x = average years of professional experience.The computer output is shown below. THE REGRESSION EQUATION IS y = 32.6 + 5.96x− .48xS1U1P12S1S1P0  S = 16.1 R−Sq = 43.9% ANALYSIS OF VARIANCE  ​ ​
-{Hockey Teams Narrative} Predict the winning percentage for a hockey team with an average of 6 years of professional experience.

Accepted Answer

The answer of Hockey Teams
 An avid hockey fan was...

Question 9

Motorcycle Fatalities
 A traffic consultant has analyzed the factors that affect the number of motorcycle fatalities.She has come to the conclusion that two important variables are the number of motorcycle and the number of cars.She proposed the model  (the second-order model with interaction),where y = number of annual fatalities per county,xS1U1B11S1U1B0 = number of motorcycles registered in the county (in 10,000),and xS1U1B12S1U1B0 = number of cars registered in the county (in 1000).The computer output (based on a random sample of 35 counties)is shown below: THE REGRESSION EQUATION IS   S = 15.2 R−Sq = 47.2% ANALYSIS OF VARIANCE  ​ ​
-{Motorcycle Fatalities Narrative} Is there enough evidence at the 5% significance level to conclude that the model is useful in predicting the number of fatalities?

Accepted Answer

The answer of Motorcycle Fatalities
 A traffic consultant has analyzed...

Question 10

If a quadratic relationship exists between y and each of x₁ and x₂,you use a(n)____________________-order polynomial model.

Accepted Answer

The answer of If a quadratic relationship exists between y...

Question 11

Computer Training 
Consider the following data for two variables,x and y.The independent variable x represents the amount of training time (in hours)for a salesperson starting in a new computer store to adjust fully,and the dependent variable y represents the weekly sales (in $1000s).  Use statistical software to answer the following question(s). ​ ​
-{Computer Training Narrative} Develop a scatter diagram for the data.Does the scatter diagram suggest an estimated regression equation of the form  ? Explain.

Accepted Answer

The answer of  Computer Training 
Consider the following data...

Question 12

Computer Training 
Consider the following data for two variables,x and y.The independent variable x represents the amount of training time (in hours)for a salesperson starting in a new computer store to adjust fully,and the dependent variable y represents the weekly sales (in $1000s).  Use statistical software to answer the following question(s). ​ ​
-{Computer Training Narrative} Develop an estimated regression equation of the form  .

Accepted Answer

The answer of  Computer Training 
Consider the following data...

Question 13

Computer Training 
Consider the following data for two variables,x and y.The independent variable x represents the amount of training time (in hours)for a salesperson starting in a new computer store to adjust fully,and the dependent variable y represents the weekly sales (in $1000s).  Use statistical software to answer the following question(s). ​ ​
-{Computer Training Narrative} Determine the coefficient of determination quadratic model.What does this statistic tell you about this model?

Accepted Answer

The answer of  Computer Training 
Consider the following data...

Question 14

Computer Training Consider the following data for two variables,x and y.The independent variable x represents the amount of training time (in hours)for a salesperson starting in a new computer store to adjust fully,and the dependent variable y represents the weekly sales (in $1000s). Use statistical software to answer the following question(s). -{Computer Training Narrative} Determine if there is sufficient evidence at the 5% significance level to infer that the quadratic relationship between y,x,and x² in the previous question is significant.

Accepted Answer

The answer of  Computer Training 
Consider the following data...

Question 15

Computer Training 
Consider the following data for two variables,x and y.The independent variable x represents the amount of training time (in hours)for a salesperson starting in a new computer store to adjust fully,and the dependent variable y represents the weekly sales (in $1000s).  Use statistical software to answer the following question(s). ​ ​
-{Computer Training Narrative} Determine if there is sufficient evidence at the 5% significance level to infer that the relationship between x and y is positive and significant.

Accepted Answer

The answer of  Computer Training 
Consider the following data...

Question 16

Hockey Teams
 An avid hockey fan was in the process of examining the factors that determine the success or failure of hockey teams.He noticed that teams with many rookies and teams with many veterans seem to do quite poorly.To further analyze his beliefs he took a random sample of 20 teams and proposed a second-order model with one independent variable,average years of professional experience.The selected model is y = βS1U1B10S1U1B0 + βS1U1B11S1U1B0x + βS1U1B12S1U1B0xS1U1P12S1S1P0 + ε,where y = winning team's percentage,and x = average years of professional experience.The computer output is shown below. THE REGRESSION EQUATION IS y = 32.6 + 5.96x− .48xS1U1P12S1S1P0  S = 16.1 R−Sq = 43.9% ANALYSIS OF VARIANCE  ​ ​
-{Hockey Teams Narrative} Test to determine at the 10% significance level if the linear term should be retained.

Accepted Answer

The answer of Hockey Teams
 An avid hockey fan was...

Question 17

Hockey Teams
 An avid hockey fan was in the process of examining the factors that determine the success or failure of hockey teams.He noticed that teams with many rookies and teams with many veterans seem to do quite poorly.To further analyze his beliefs he took a random sample of 20 teams and proposed a second-order model with one independent variable,average years of professional experience.The selected model is y = βS1U1B10S1U1B0 + βS1U1B11S1U1B0x + βS1U1B12S1U1B0xS1U1P12S1S1P0 + ε,where y = winning team's percentage,and x = average years of professional experience.The computer output is shown below. THE REGRESSION EQUATION IS y = 32.6 + 5.96x− .48xS1U1P12S1S1P0  S = 16.1 R−Sq = 43.9% ANALYSIS OF VARIANCE  ​ ​
-{Hockey Teams Narrative} Do these results allow us to conclude at the 5% significance level that the model is useful in predicting the team's winning percentage?

Accepted Answer

The answer of Hockey Teams
 An avid hockey fan was...

Question 18

Hockey Teams
 An avid hockey fan was in the process of examining the factors that determine the success or failure of hockey teams.He noticed that teams with many rookies and teams with many veterans seem to do quite poorly.To further analyze his beliefs he took a random sample of 20 teams and proposed a second-order model with one independent variable,average years of professional experience.The selected model is y = βS1U1B10S1U1B0 + βS1U1B11S1U1B0x + βS1U1B12S1U1B0xS1U1P12S1S1P0 + ε,where y = winning team's percentage,and x = average years of professional experience.The computer output is shown below. THE REGRESSION EQUATION IS y = 32.6 + 5.96x− .48xS1U1P12S1S1P0  S = 16.1 R−Sq = 43.9% ANALYSIS OF VARIANCE  ​ ​
-{Hockey Teams Narrative} What is the coefficient of determination? Explain what this statistic tells you about the model.

Accepted Answer

The answer of Hockey Teams
 An avid hockey fan was...

Question 19

Computer Training 
Consider the following data for two variables,x and y.The independent variable x represents the amount of training time (in hours)for a salesperson starting in a new computer store to adjust fully,and the dependent variable y represents the weekly sales (in $1000s).  Use statistical software to answer the following question(s). ​ ​
-{Computer Training Narrative} Develop an estimated regression equation of the form  .

Accepted Answer

The answer of  Computer Training 
Consider the following data...

Question 20

Hockey Teams An avid hockey fan was in the process of examining the factors that determine the success or failure of hockey teams.He noticed that teams with many rookies and teams with many veterans seem to do quite poorly.To further analyze his beliefs he took a random sample of 20 teams and proposed a second-order model with one independent variable,average years of professional experience.The selected model is y = βS1U1B10S1U1B0 + βS1U1B11S1U1B0x + βS1U1B12S1U1B0xS1U1P12S1S1P0 + ε,where y = winning team's percentage,and x = average years of professional experience.The computer output is shown below. THE REGRESSION EQUATION IS y = 32.6 + 5.96x− .48xS1U1P12S1S1P0 S = 16.1 R−Sq = 43.9% ANALYSIS OF VARIANCE -{Hockey Teams Narrative} Test to determine at the 10% significance level if the x² term should be retained.

Accepted Answer

The answer of Hockey Teams
 An avid hockey fan was...

Quiz 18: Model Building

The model y = β₀ + β₁x₁ + β₂x₂ + β₃x₁x₂ + ε is a(n)-order polynomial model with predictor variables and .

____________________ means that the effect of x₁ on y is influenced by the value of x₂,and vice versa.

The model y = β₀ + β₁x₁ + β₂x₂ + ε is a(n)-order polynomial model with predictor variable(s).

In a first-order polynomial model with no interaction,the effect of x₁ on y remains the same no matter what the value of x₂ is.The graph of this model produces straight lines that are ____________________ to each other.

If a quadratic relationship exists between y and each of x₁ and x₂,you use a(n)____________________-order polynomial model.

Quiz 18: Model Building

The model y = β0 + β1x1 + β2x2 + β3x1x2 + ε is a(n)____________________-order polynomial model with ____________________ predictor variables and ____________________.

____________________ means that the effect of x1 on y is influenced by the value of x2,and vice versa.

The model y = β0 + β1x1 + β2x2 + ε is a(n)____________________-order polynomial model with ____________________ predictor variable(s).

In a first-order polynomial model with no interaction,the effect of x1 on y remains the same no matter what the value of x2 is.The graph of this model produces straight lines that are ____________________ to each other.

If a quadratic relationship exists between y and each of x1 and x2,you use a(n)____________________-order polynomial model.

The model y = β₀ + β₁x₁ + β₂x₂ + β₃x₁x₂ + ε is a(n)-order polynomial model with predictor variables and .

____________________ means that the effect of x₁ on y is influenced by the value of x₂,and vice versa.

The model y = β₀ + β₁x₁ + β₂x₂ + ε is a(n)-order polynomial model with predictor variable(s).

In a first-order polynomial model with no interaction,the effect of x₁ on y remains the same no matter what the value of x₂ is.The graph of this model produces straight lines that are ____________________ to each other.

If a quadratic relationship exists between y and each of x₁ and x₂,you use a(n)____________________-order polynomial model.