(Step-by-Step) An article in the Journal of Environmental Engineering reported the results of a study on the occurrence of the sodium and chloride in surface
Question: An article in the Journal of Environmental Engineering reported the results of a study on the occurrence of the sodium and chloride in surface streams in central Rhode Island. The following data are chloride concentration y (in milligrams per liter) and roadway area in the watershed x (in percentage).
| y | x |
| 4.4 | 0.19 |
| 6.6 | 0.15 |
| 9.7 | 0.57 |
| 10.6 | 0.7 |
| 10.8 | 0.67 |
| 10.9 | 0.63 |
| 11.8 | 0.47 |
| 12.1 | 0.7 |
| 14.3 | 0.6 |
| 14.7 | 0.78 |
| 15 | 0.81 |
| 17.3 | 0.78 |
| 19.2 | 0.69 |
| 23.1 | 1.3 |
| 27.4 | 1.05 |
| 27.7 | 1.06 |
| 31.8 | 1.74 |
| 39.5 | 1.62 |
- Draw a scatter diagram of the data. Does a simple linear regression model seem appropriate here?
- Fit the simple linear regression model using the method of least squares. Submit your solution.
- Interpret the meaning of the slope.
- Interpret the meaning of the intercept. Does it have a practical meaning?
- Estimate the mean chloride concentration for a watershed that has 1% roadway area.
- Find the fitted value corresponding to x = 0.47 and the associated residual.
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