The table shows the number of manatee deaths caused by watercraft in Florida each year beginning in 1980. The years are coded that 1980 is 1, 1981 is 2, and so on. Use the table to fin the best model and the R2 value. Year 1 2 4. 7 8. 10 Deaths 16 24 15 34 33 33 39 43 50 linear model, 0.845 exponential model, 0.779 power model, 0.682 O quadratic model, 0.866 9, 3, 20

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Find the best model and the r^2 value
**Manatee Deaths Due to Watercraft in Florida (1980-1989)**

The table below tracks the number of manatee deaths caused by watercraft each year in Florida, beginning in 1980. The years are coded as follows: 1980 is 1, 1981 is 2, 1982 is 3, and so on.

| Year | 1  | 2  | 3  | 4  | 5  | 6  | 7  | 8  | 9  | 10 |
|------|----|----|----|----|----|----|----|----|----|----|
| Deaths | 16 | 24 | 20 | 15 | 34 | 33 | 33 | 39 | 43 | 50 |

**Model and R² Value:**

- **Linear Model**: 0.845
- **Exponential Model**: 0.779
- **Power Model**: 0.682
- **Quadratic Model**: 0.866

**Analysis:**

Based on the R² values, the quadratic model (0.866) appears to be the best fit for predicting the trend in manatee deaths over the years. It indicates that this model explains approximately 86.6% of the variance in the data, suggesting a potential quadratic relationship.
Transcribed Image Text:**Manatee Deaths Due to Watercraft in Florida (1980-1989)** The table below tracks the number of manatee deaths caused by watercraft each year in Florida, beginning in 1980. The years are coded as follows: 1980 is 1, 1981 is 2, 1982 is 3, and so on. | Year | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |------|----|----|----|----|----|----|----|----|----|----| | Deaths | 16 | 24 | 20 | 15 | 34 | 33 | 33 | 39 | 43 | 50 | **Model and R² Value:** - **Linear Model**: 0.845 - **Exponential Model**: 0.779 - **Power Model**: 0.682 - **Quadratic Model**: 0.866 **Analysis:** Based on the R² values, the quadratic model (0.866) appears to be the best fit for predicting the trend in manatee deaths over the years. It indicates that this model explains approximately 86.6% of the variance in the data, suggesting a potential quadratic relationship.
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