The following table shows the amount, in billions of dollars, spent on cell phone service t years a 2000. t Amount 5 113.42 6 126.55 7 138.13 8 142.48 A: Find the equation of the regression line. Define your variables and write the units. Round answer to 2 decimal places. B: Based on the regression equation, how long will it take for the amount spent on cell phone service to be 216.7 billion dollars? Write the equation you are using to solve the problem. Solve algebraically and show your work. Do not use guess and check. Round answer to 2 decimal places.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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### Cell Phone Service Expenditure Over Time

The following table represents the expenditure on cell phone services, in billions of dollars, measured \( t \) years after the year 2000.

| \( t \) (Years after 2000) | Amount (Billions of Dollars) |
|---------------------------|-----------------------------|
| 5                         | 113.42                      |
| 6                         | 126.55                      |
| 7                         | 138.13                      |
| 8                         | 142.48                      |

#### A: Determining the Regression Line
To find the equation of the regression line, follow these steps:

1. **Define your variables:**
   - \( t \): Number of years after 2000
   - Amount: The spending on cell phone services in billions of dollars

2. **Write the equation:**
   The equation should be in the form \( y = mx + b \), where \( y \) is the amount, \( m \) is the slope, and \( b \) is the y-intercept. Round the final answer to two decimal places.

#### B: Forecasting Future Expenditure
Using the regression equation:

- Estimate the time it will take for the expenditure on cell phone services to reach 216.7 billion dollars.
- Write the equation used for this calculation.
- Solve algebraically, showing all steps, and avoid using guesswork.
- Round your final answer to two decimal places.
Transcribed Image Text:### Cell Phone Service Expenditure Over Time The following table represents the expenditure on cell phone services, in billions of dollars, measured \( t \) years after the year 2000. | \( t \) (Years after 2000) | Amount (Billions of Dollars) | |---------------------------|-----------------------------| | 5 | 113.42 | | 6 | 126.55 | | 7 | 138.13 | | 8 | 142.48 | #### A: Determining the Regression Line To find the equation of the regression line, follow these steps: 1. **Define your variables:** - \( t \): Number of years after 2000 - Amount: The spending on cell phone services in billions of dollars 2. **Write the equation:** The equation should be in the form \( y = mx + b \), where \( y \) is the amount, \( m \) is the slope, and \( b \) is the y-intercept. Round the final answer to two decimal places. #### B: Forecasting Future Expenditure Using the regression equation: - Estimate the time it will take for the expenditure on cell phone services to reach 216.7 billion dollars. - Write the equation used for this calculation. - Solve algebraically, showing all steps, and avoid using guesswork. - Round your final answer to two decimal places.
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