(Steps Shown) Lake Michigan water level records have been kept for many years, showing an overall loss of water over time. The chart below shows depths for
Question: Lake Michigan water level records have been kept for many years, showing an overall loss of water over time. The chart below shows depths for various years.
| Year | Lake Michigan water level (feet) |
| 1860 | 581.9 |
| 1900 | 579.6 |
| 1950 | 578.4 |
| 2000 | 576.8 |
Source: National Oceanic and Atmospheric Administration
- Working by hand, find a linear equation that is a reasonable linear model that represents the water level (in feet) t years past 1800. Use the model to predict the water level in 2050.
- Use linear regression on your calculator to find the best fit linear model for the water level (in feet) t years since 1800. Use the model to predict the water level in 2050.
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