### Polio Cases Data Analysis: Educational ExerciseThe numbers of polio cases in the world are shown in the table for various years.| Year | Number of Polio Cases (thousands) ||-------|----------------------------------|| 1988 | 350 || 1992 | 138 || 1996 | 32 || 2000 | 2 || 2005 | 3.2 || 2007 | 1.3 |Let $ f(t) $ be the number of polio cases in thousands $ t $ years since 1980.1. **Use a graphing calculator to draw a scattergram of the data.** - **Question:** Is it better to model the data by using a linear or exponential model? - **Answer:** [Select an answer] 2. **Find an equation of $ f $.** - **Hint:** [Hint] - **Equation:** $ f(t) = \_\_\_\_\_\_\_\_\_\_\_\_ $ - **Instructions:** Round the coefficients to 4 decimal places. - **Preview:** [Preview]3. **Determine the rate of change.** - **Question:** The number of polio cases is [Select an answer] by [Select an answer] per year.4. **Predict the number of polio cases in 2020.** - **Hint:** [Hint] - **Prediction:** [Input box]5. **Predict in which year there will be 1 case of polio.** - **Hint:** [Hint] - **Year:** [Input box]6. **Find the approximate half-life of the number of polio cases.** - **Hint:** [Hint] - **Half-life:** \_\_\_\_\_\_ years### Instructions:- Use the information provided in the table to plot a scattergram on your graphing calculator. - Determine whether a linear or exponential model best fits the data points.- Use statistical methods to derive an equation that models the number of polio cases over time, rounding to four decimal places as specified.- Based on this model, calculate and predict future values and determine key time points such as when there will be only one case of polio or when the half-life of the

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Description: ### Polio Cases Data Analysis: Educational ExerciseThe numbers of polio cases in the world are shown in the table for various years.| Year | Number of Polio Cases (thousands) ||-------|----------------------------------|| 1988 | 350

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Calculus

Year Number of Polio Cases (thousands) 1988 350 1992 138 1996 32 2000 2. 2005 3.2 2007 1.3

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

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Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

### Polio Cases Data Analysis: Educational Exercise

The numbers of polio cases in the world are shown in the table for various years.

| Year | Number of Polio Cases (thousands) |
|-------|----------------------------------|
| 1988 | 350 |
| 1992 | 138 |
| 1996 | 32 |
| 2000 | 2 |
| 2005 | 3.2 |
| 2007 | 1.3 |

Let $ f(t) $ be the number of polio cases in thousands $ t $ years since 1980.

1. **Use a graphing calculator to draw a scattergram of the data.**
- **Question:** Is it better to model the data by using a linear or exponential model?
- **Answer:** [Select an answer]

2. **Find an equation of $ f $.**
- **Hint:** [Hint]
- **Equation:** $ f(t) = \_\_\_\_\_\_\_\_\_\_\_\_ $
- **Instructions:** Round the coefficients to 4 decimal places.
- **Preview:** [Preview]

3. **Determine the rate of change.**
- **Question:** The number of polio cases is [Select an answer] by [Select an answer] per year.

4. **Predict the number of polio cases in 2020.**
- **Hint:** [Hint]
- **Prediction:** [Input box]

5. **Predict in which year there will be 1 case of polio.**
- **Hint:** [Hint]
- **Year:** [Input box]

6. **Find the approximate half-life of the number of polio cases.**
- **Hint:** [Hint]
- **Half-life:** \_\_\_\_\_\_ years

### Instructions:

- Use the information provided in the table to plot a scattergram on your graphing calculator.
- Determine whether a linear or exponential model best fits the data points.
- Use statistical methods to derive an equation that models the number of polio cases over time, rounding to four decimal places as specified.
- Based on this model, calculate and predict future values and determine key time points such as when there will be only one case of polio or when the half-life of the

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