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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:

CoefficientsStandard ErrortStatp-Value
Intercept10.193.572.850.0158
Population8.051.395.790.0102
Income7.466.041.240.3407

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:

SalaryEducation
376
697
??
290

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