Question
1.) Osteoporosis is a degenerative disease that primarily affects women over the age of 58. A research analyst wants to forecast sales of StrongBones, a
1.) Osteoporosis is a degenerative disease that primarily affects women over the age of 58. A research analyst wants to forecast sales of StrongBones, a prescription drug for treating this debilitating disease. She uses the model Sales =?0+?1Population +?2Income+?,where Sales refers to the sales of StrongBones (in $1,000,000s), Population is the number of women over the age of 58 (in millions), and Income is the average income of women over the age of 58 (in $1,000s). She collects data on 27 cities across the United States and obtains the following regression results:
Coefficients | Standard Error | tStat | p-Value | |
Intercept | 10.19 | 3.57 | 2.85 | 0.0158 |
Population | 8.05 | 1.39 | 5.79 | 0.0102 |
Income | 7.46 | 6.04 | 1.24 | 0.3407 |
a.What is the sample regression equation?(Enter your answers in millions rounded to 2 decimal places.)
Sales?=Sales^= + Population + Income.
b-1.Interpret the coefficient of population.
- As the number of women over the age of 58 increases by 1 million, sales of StrongBones is predicted to increase by $8.05 million.
- As the number of women over the age of 58 increases by 1 million, sales of StrongBones is predicted to increase by $7.46 million.
- As the number of women over the age of 58 increases by 1 million, sales of StrongBones is predicted to increase by $8.05 million, holding income constant.
- As the number of women over the age of 58 increases by 1 million, sales of StrongBones is predicted to increase by $7.46 million, holding income constant.
b-2.Interpret the coefficient of income.
- As the average income of women over the age of 58 increases by $1,000, sales of StrongBones is predicted to increase by $8.05 million.
- As the average income of women over the age of 58 increases by $1,000, sales of StrongBones is predicted to increase by $7.46 million.
- As the average income of women over the age of 58 increases by $1,000, sales of StrongBones is predicted to increase by $8.05 million, holding population constant.
- As the average income of women over the age of 58 increases by $1,000, sales of StrongBones is predicted to increase by $7.46 million, holding population constant.
c.Predict sales if a city has 1.8 million women over the age of 58 and their average income is $35,000.(Enter your answer in millions rounded to 2 decimal places.)
Sales?Sales^
2.) A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows:
Salary | Education | ||||
37 | 6 | ||||
69 | 7 | ||||
? | ? | ||||
29 | 0 | ||||
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