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.)
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
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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.
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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.
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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.
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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
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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.
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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.
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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.
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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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