Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are I meuic fatality rates are per 100,000 people, find the best predicted crash fatality rate for a year in which there are 400 metric tons of lemon imports. Is the prediction worthwhile? Lemon Imports Crash Fatality Rate 16 15.7 229 264 365 489 537 O 14.9 15.4 15.4 Find the equation of the regression line. (Round the constant three decimal places as needed. Round the coefficient to six decimal places as needed.)

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**Educational Website Text Transcription**

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**Regression Analysis: Lemon Imports and Crash Fatality Rates**

*Task:*

Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per 100,000 people, find the best predicted crash fatality rate for a year in which there are 400 metric tons of lemon imports. Is the prediction worthwhile?

*Data Table:*

| Lemon Imports (metric tons) | Crash Fatality Rate (per 100,000 people) |
|-----------------------------|------------------------------------------|
| 229                         | 16                                       |
| 264                         | 15.7                                     |
| 365                         | 15.4                                     |
| 489                         | 15.4                                     |
| 537                         | 14.9                                     |

*Instructions:*

Find the equation of the regression line.

\[
\hat{y} = \text{[ ]} + \text{[ ]}x
\]

*Note:*

- Round the constant to three decimal places as needed.
- Round the coefficient to six decimal places as needed.

---

**Instructions:**

Enter your answer in the edit fields and then click "Check Answer."

*Progress Indicator:*

- 2 parts remaining

*Please ensure your calculations are precise for accurate predictions.*
Transcribed Image Text:**Educational Website Text Transcription** --- **Regression Analysis: Lemon Imports and Crash Fatality Rates** *Task:* Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per 100,000 people, find the best predicted crash fatality rate for a year in which there are 400 metric tons of lemon imports. Is the prediction worthwhile? *Data Table:* | Lemon Imports (metric tons) | Crash Fatality Rate (per 100,000 people) | |-----------------------------|------------------------------------------| | 229 | 16 | | 264 | 15.7 | | 365 | 15.4 | | 489 | 15.4 | | 537 | 14.9 | *Instructions:* Find the equation of the regression line. \[ \hat{y} = \text{[ ]} + \text{[ ]}x \] *Note:* - Round the constant to three decimal places as needed. - Round the coefficient to six decimal places as needed. --- **Instructions:** Enter your answer in the edit fields and then click "Check Answer." *Progress Indicator:* - 2 parts remaining *Please ensure your calculations are precise for accurate predictions.*
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