The capacities at which U.S. nuclear power plants are working are shown in table for various years. Year Percent 1975 56 1980 59 1985 58 1990 70 1995 76 2000 88 2004 89 Let f(t) be the capacity (in percent) at which U.S. nuclear power plants are working at t years since 1970. Use Quadratic regression on your calculator to find a quadratic function that models this data. Round each coefficient to at least 3 decimal places. BE SURE TO USE t = 0 to represent the 1 would be 1971, and so on: year 1970. Then t Equation f(t) : Use your graphing calculator to draw the graph of the model and, in the same viewing window, the scattergram of the data. Does the model fit the data well? The function is a good model for the data. The function is not a good model for the data Estimate at what capacity U. S. nuclear power plants were working in 2013. % Round to the nearest whole percent. Predict when U. S. nuclear power plants will be working at full (100%) capacity. Enter the year this occurs.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The capacities at which U.S. nuclear power plants are working are shown in the table for various years:

| Year | Percent |
|------|---------|
| 1975 | 56      |
| 1980 | 59      |
| 1985 | 58      |
| 1990 | 70      |
| 1995 | 76      |
| 2000 | 88      |
| 2004 | 89      |

Let \( f(t) \) be the capacity (in percent) at which U.S. nuclear power plants are working at \( t \) years since 1970. Use Quadratic regression on your calculator to find a quadratic function that models this data. Round each coefficient to at least 3 decimal places. Be sure to use \( t = 0 \) to represent the year 1970. Then \( t = 1 \) would be 1971, and so on:

**Equation \( f(t) \) =** [blank field]

Use your graphing calculator to draw the graph of the model and, in the same viewing window, the scattergram of the data. Does the model fit the data well?

- [ ] The function is a good model for the data.
- [ ] The function is not a good model for the data.

Estimate at what capacity U.S. nuclear power plants were working in 2013.  
**[blank field]%** Round to the nearest whole percent.

Predict when U.S. nuclear power plants will be working at full (100%) capacity.  
**[blank field]** Enter the year this occurs.
Transcribed Image Text:The capacities at which U.S. nuclear power plants are working are shown in the table for various years: | Year | Percent | |------|---------| | 1975 | 56 | | 1980 | 59 | | 1985 | 58 | | 1990 | 70 | | 1995 | 76 | | 2000 | 88 | | 2004 | 89 | Let \( f(t) \) be the capacity (in percent) at which U.S. nuclear power plants are working at \( t \) years since 1970. Use Quadratic regression on your calculator to find a quadratic function that models this data. Round each coefficient to at least 3 decimal places. Be sure to use \( t = 0 \) to represent the year 1970. Then \( t = 1 \) would be 1971, and so on: **Equation \( f(t) \) =** [blank field] Use your graphing calculator to draw the graph of the model and, in the same viewing window, the scattergram of the data. Does the model fit the data well? - [ ] The function is a good model for the data. - [ ] The function is not a good model for the data. Estimate at what capacity U.S. nuclear power plants were working in 2013. **[blank field]%** Round to the nearest whole percent. Predict when U.S. nuclear power plants will be working at full (100%) capacity. **[blank field]** Enter the year this occurs.
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