The owners of an e-business have been successful in selling fashion products but are now venturing into another domain. Knowing that the impact of advertising on profit cannot be overemphasized, they are interested in determining the right amount to allocate to advertising for the new business. Based on a monthly report from the fashion e-business, a regression analysis of monthly profit (in thousands of dollars) on advertising spending (in hundreds of dollars) produced the following results: slope y�-intercept r� 1.24 2.437 0.7372 where y = profit (in $1000s) x = advertising spending (in $100s) a. State the least-squares regression line for the data. ŷ = ? + ? x b. Interpret the value of the slope as it relates to this problem. For every $1 increase in advertising spending, there is a $1.24 increase in profit. For every $100 increase in advertising spending, there is a $1,240 increase in profit. For every $100 increase in advertising spending, there is a $124 increase in profit. For every $1,000 increase in advertising spending, there is a $124 increase in profit. c. Compute and interpret the coefficient of determination. R2= Round to 4 decimal places d. Predict the monthly profit for a month when advertising is $2,100. Round to the nearest cent e. If the expected profit in a particular month is $45,837, about how much should be set aside for advertising that month? Round to the nearest cent
The owners of an e-business have been successful in selling fashion products but are now venturing into another domain. Knowing that the impact of advertising on profit cannot be overemphasized, they are interested in determining the right amount to allocate to advertising for the new business. Based on a monthly report from the fashion e-business, a regression analysis of monthly profit (in thousands of dollars) on advertising spending (in hundreds of dollars) produced the following results: slope y�-intercept r� 1.24 2.437 0.7372 where y = profit (in $1000s) x = advertising spending (in $100s) a. State the least-squares regression line for the data. ŷ = ? + ? x b. Interpret the value of the slope as it relates to this problem. For every $1 increase in advertising spending, there is a $1.24 increase in profit. For every $100 increase in advertising spending, there is a $1,240 increase in profit. For every $100 increase in advertising spending, there is a $124 increase in profit. For every $1,000 increase in advertising spending, there is a $124 increase in profit. c. Compute and interpret the coefficient of determination. R2= Round to 4 decimal places d. Predict the monthly profit for a month when advertising is $2,100. Round to the nearest cent e. If the expected profit in a particular month is $45,837, about how much should be set aside for advertising that month? Round to the nearest cent
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...
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The owners of an e-business have been successful in selling fashion products but are now venturing into another domain. Knowing that the impact of advertising on profit cannot be overemphasized, they are interested in determining the right amount to allocate to advertising for the new business. Based on a monthly report from the fashion e-business, a regression analysis of monthly profit (in thousands of dollars) on advertising spending (in hundreds of dollars) produced the following results:
where y = profit (in $1000s)
x = advertising spending (in $100s)
| slope | y�-intercept | r� |
| 1.24 | 2.437 | 0.7372 |
where y = profit (in $1000s)
x = advertising spending (in $100s)
a. State the least-squares regression line for the data.
ŷ = ? + ? x
b. Interpret the value of the slope as it relates to this problem.
For every $1 increase in advertising spending, there is a $1.24 increase in profit.
For every $100 increase in advertising spending, there is a $1,240 increase in profit.
For every $100 increase in advertising spending, there is a $124 increase in profit.
For every $1,000 increase in advertising spending, there is a $124 increase in profit.
c. Compute and interpret the coefficient of determination.
R2=
Round to 4 decimal places
d. Predict the monthly profit for a month when advertising is $2,100.
Round to the nearest cent
e. If the expected profit in a particular month is $45,837, about how much should be set aside for advertising that month?
Round to the nearest cent
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d. Predict the monthly profit for a month when advertising is $2,100.
Round to the nearest cent
e. If the expected profit in a particular month is $45,837, about how much should be set aside for advertising that month?
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