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Question

The table gives the monthly mean maximum temperature, in degrees Celsius, for Canberra, Australia. Roughly fit a sine model of the form y=a $\sin \frac{1}{b}$(x-h)+k to the data. Then determine a sine regression model using a graphing calculator. Finally, visually differentiate between the two models in relation to the data.

Month | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
---|---|---|---|---|---|---|---|---|---|---|---|---|

Maximum temperature (^(@)C) | 28.0 | 27.1 | 24.5 | 20.0 | 15.6 | 12.3 | 11.4 | 13.0 | 16.2 | 19.4 | 22.7 | 26.1 |

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 7The task is to write a roughly-fit model of the form $y=a \sin \frac{1}{b}(x-h)+k$ to the given data and a regression model. Then to visually compare these two models.

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