Osteoporosis is a degenerative disease that primarily affects women over the age of 45. A research analyst wants to forecast sales of StrongBones, a prescription drug for treating this debilitating disease. She uses the model Sales = 6, + 6,Population + 6,lncome + ɛ, where Sales refers to the sales of StrongBones (in $1,000,000s), Population is the number of women over the age of 45 (in millions), and Income is the average income of women over the age of 45 (in $1,000s). She collects data on 29 cities across the United States and obtains the following regression results: Standard

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I would like for you to answer a, b-1, b-2, and c
Osteoporosis is a degenerative disease that primarily affects women over the age of 45. A research analyst wants to forecast sales of
StrongBones, a prescription drug for treating this debilitating disease. She uses the model Sales = 6, + 6,Population + 6,lncome + ɛ,
where Sales refers to the sales of StrongBones (in $1,000,000s), Population is the number of women over the age of 45 (in millions),
and Income is the average income of women over the age of 45 (in $1,000s). She collects data on 29 cities across the United States
and obtains the following regression results:
Standard
Coefficients
p-Value
0.0071
Error
t Stat
Intercept
Population
10.15
3.13
3.24
8.45
1.11
7.61
0.0047
Income
7.45
6.12
1.22
0.3468
a. What is the sample regression equation? (Enter your answers in millions rounded to 2 decimal places.)
Sales =
Population +
Income.
b-1. Interpret the coefficient of population.
O As the number of women over the age of 45 increases by 1 million, sales of StrongBones is predicted to increase by $8.45
million.
O As the number of women over the age of 45 increases by 1 million, sales of StrongBones is predicted to increase by $7.45
million.
O As the number of women over the age of 45 increases by 1 million, sales of StrongBones is predicted to increase by $8.45
million, holding income constant.
O As the number of women over the age of 45 increases by 1 million, sales of StrongBones is predicted to increase by $7.45
Transcribed Image Text:Osteoporosis is a degenerative disease that primarily affects women over the age of 45. A research analyst wants to forecast sales of StrongBones, a prescription drug for treating this debilitating disease. She uses the model Sales = 6, + 6,Population + 6,lncome + ɛ, where Sales refers to the sales of StrongBones (in $1,000,000s), Population is the number of women over the age of 45 (in millions), and Income is the average income of women over the age of 45 (in $1,000s). She collects data on 29 cities across the United States and obtains the following regression results: Standard Coefficients p-Value 0.0071 Error t Stat Intercept Population 10.15 3.13 3.24 8.45 1.11 7.61 0.0047 Income 7.45 6.12 1.22 0.3468 a. What is the sample regression equation? (Enter your answers in millions rounded to 2 decimal places.) Sales = Population + Income. b-1. Interpret the coefficient of population. O As the number of women over the age of 45 increases by 1 million, sales of StrongBones is predicted to increase by $8.45 million. O As the number of women over the age of 45 increases by 1 million, sales of StrongBones is predicted to increase by $7.45 million. O As the number of women over the age of 45 increases by 1 million, sales of StrongBones is predicted to increase by $8.45 million, holding income constant. O As the number of women over the age of 45 increases by 1 million, sales of StrongBones is predicted to increase by $7.45
b-2. Interpret the coefficient of income.
O As the average income of women over the age of 45 increases by $1,000, sales of StrongBones is predicted to increase by
$8.45 million.
O As the average income of women over the age of 45 increases by $1,000, sales of StrongBones is predicted to increase by
$7.45 million.
O As the average income of women over the age of 45 increases by $1,000, sales of StrongBones is predicted to increase by
$8.45 million, holding population constant.
O As the average income of women over the age of 45 increases by $1,000, sales of StrongBones is predicted to increase by
$7.45 million, holding population constant.
c. Predict sales if a city has 1.6 million women over the age of 45 and their average income is $43,000. (Enter your answer in millions
rounded to 2 decimal places.)
Sales
Transcribed Image Text:b-2. Interpret the coefficient of income. O As the average income of women over the age of 45 increases by $1,000, sales of StrongBones is predicted to increase by $8.45 million. O As the average income of women over the age of 45 increases by $1,000, sales of StrongBones is predicted to increase by $7.45 million. O As the average income of women over the age of 45 increases by $1,000, sales of StrongBones is predicted to increase by $8.45 million, holding population constant. O As the average income of women over the age of 45 increases by $1,000, sales of StrongBones is predicted to increase by $7.45 million, holding population constant. c. Predict sales if a city has 1.6 million women over the age of 45 and their average income is $43,000. (Enter your answer in millions rounded to 2 decimal places.) Sales
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