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 sin1b\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

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Answered 2 years ago
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The task is to write a roughly-fit model of the form y=asin1b(xh)+ky=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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