Osteoporosis is a degenerative disease that primarily affects women over the age of 60. A research analyst wants to forecast sales of StrongBones, a prescription drug for treating this debilitating disease. She uses the model Sales = β0 + β1Population + β2Income + ε, where Sales refers to the sales of StrongBones (in $1,000,000s), Population is the number of women over the age of 60 (in millions), and Income is the average income of women over the age of 60 (in $1,000s). She collects data on 38 cities across the United States and obtains the following regression results:     Coefficients Standard Error t Stat p-Value Intercept 10.35 4.02 2.57 0.0199 Population 8.47 2.71 3.12 0.0062 Income 7.62 6.63 1.15 0.2661   a. What is the sample regression equation? (Enter your answers in millions rounded to 2 decimal places.)       b-1. Interpret the coefficient of population.   multiple choice 1 As the number of women over the age of 60 increases by 1 million, sales of StrongBones is predicted to increase by $8.47 million. As the number of women over the age of 60 increases by 1 million, sales of StrongBones is predicted to increase by $7.62 million. As the number of women over the age of 60 increases by 1 million, sales of StrongBones is predicted to increase by $8.47 million, holding income constant. As the number of women over the age of 60 increases by 1 million, sales of StrongBones is predicted to increase by $7.62 million, holding income constant.   b-2. Interpret the coefficient of income. multiple choice 2 As the average income of women over the age of 60 increases by $1,000, sales of StrongBones is predicted to increase by $7.62 million. As the average income of women over the age of 60 increases by $1,000, sales of StrongBones is predicted to increase by $8.47 million. As the average income of women over the age of 60 increases by $1,000, sales of StrongBones is predicted to increase by $7.62 million, holding population constant. As the average income of women over the age of 60 increases by $1,000, sales of StrongBones is predicted to increase by $8.47 million, holding population constant.   c. Predict sales if a city has 1.5 million women over the age of 60 and their average income is $44,000. (Enter your answer in millions rounded to 2 decimal places.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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 Osteoporosis is a degenerative disease that primarily affects women over the age of 60. A research analyst wants to forecast sales of StrongBones, a prescription drug for treating this debilitating disease. She uses the model Sales = β0 + β1Population + β2Income + ε, where Sales refers to the sales of StrongBones (in $1,000,000s), Population is the number of women over the age of 60 (in millions), and Income is the average income of women over the age of 60 (in $1,000s). She collects data on 38 cities across the United States and obtains the following regression results:

 

  Coefficients Standard
Error
t Stat p-Value
Intercept 10.35 4.02 2.57 0.0199
Population 8.47 2.71 3.12 0.0062
Income 7.62 6.63 1.15 0.2661
 


a. What is the sample regression equation? (Enter your answers in millions rounded to 2 decimal places.)

 

 


 

b-1. Interpret the coefficient of population.
 

multiple choice 1

  • As the number of women over the age of 60 increases by 1 million, sales of StrongBones is predicted to increase by $8.47 million.
  • As the number of women over the age of 60 increases by 1 million, sales of StrongBones is predicted to increase by $7.62 million.
  • As the number of women over the age of 60 increases by 1 million, sales of StrongBones is predicted to increase by $8.47 million, holding income constant.
  • As the number of women over the age of 60 increases by 1 million, sales of StrongBones is predicted to increase by $7.62 million, holding income constant.


 

b-2. Interpret the coefficient of income.


multiple choice 2

  • As the average income of women over the age of 60 increases by $1,000, sales of StrongBones is predicted to increase by $7.62 million.
  • As the average income of women over the age of 60 increases by $1,000, sales of StrongBones is predicted to increase by $8.47 million.
  • As the average income of women over the age of 60 increases by $1,000, sales of StrongBones is predicted to increase by $7.62 million, holding population constant.
  • As the average income of women over the age of 60 increases by $1,000, sales of StrongBones is predicted to increase by $8.47 million, holding population constant.


 

c. Predict sales if a city has 1.5 million women over the age of 60 and their average income is $44,000. (Enter your answer in millions rounded to 2 decimal places.)

 


 

 
 
 
 
 
 
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