Question

In: Statistics and Probability

Osteoporosis is a degenerative disease that primarily affects women over the age of 49. A research...

Osteoporosis is a degenerative disease that primarily affects women over the age of 49. 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 49 (in millions), and Income is the average income of women over the age of 49 (in $1,000s). She collects data on 39 cities across the United States and obtains the following regression results:

Coefficients Standard
Error
t Stat p-Value
Intercept 10.11 3.66 2.76 0.0134
Population 8.12 1.63 4.98 0.0156
Income 7.05 6.07 1.16 0.3658

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

b-1. Interpret the coefficient of population.

b-2. Interpret the coefficient of income.

c. Predict sales if a city has 1.0 million women over the age of 49 and their average income is $35,000. (Enter your answer in millions rounded to 2 decimal places.)

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