The annual flows (lowest one-day flow rate within a calendar year) of two tributaries of a river are expected to be linearly related. Data for a 12-year period are shown below.
Year | North Tributary Flow (cfs) | South Tributary Flow (cfs) |
1 | 225 | 232 |
2 | 354 | 315 |
3 | 201 | 1 74 |
4 | 372 | 402 |
5 | 246 | 204 |
6 | 324 | 324 |
7 | 21 6 | 1 89 |
8 | 21 0 | 224 |
9 | 195 | 210 |
10 | 264 | 281 |
11 | 276 | 235 |
12 | 183 | 1 74 |
Use a spreadsheet to do the following:
(a) Compute the best-fit line using the method of least squares. Use data for the north tributary as the independent variable.
(b) Plot the data and the prediction equation on the same graph.
(c) Compute the correlation coefficient and interpret it.
(d) If the low flow for the north tributary is 150 cfs, what would you expect the flow for the south tributary to be?
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