Tim would like to compare the climate of Sydney, Australia, to the climates of t

Question

Tim would like to compare the climate of Sydney, Australia, to the climates of the other 3 cities He collects data for the day of the year r and the average daily high temperature H in degrees Fahrenheit. As before,: 0 represents January 1, and r 364 represents December 31 t15 4574 105 135166 96 227 258 288 319 349 H 78.6 78.4 765 723 669 624 613 640 680 718 745 774 29. Use your graphing calculator to perform a sinusoidal regression on the data. Write the function in the form a sin(br+c)+d. 4 decimal places. Round off a and d to 2 decimal places, and b and c to 30. Circle the letter(s) of all statements that would accurately describe the climate of Sydney in comparison to the other cities. Remember that summer in the Southern Hemisphere is the months of December, January, and February A. Similar temperature to Buenos Aires, but hotter in the summer B. Similar temperature to Buenos Aires, but cooler in the summer. C. Cooler than Osaka, but more variable. D. About as variable as Los Angeles, but generally cooler E. Warmer than Los Angeles, but not as variable. F. none of these What if Sydney's climate were equally as variable as Osaka's? Rewrite the function for Sydney to account for this new variability, and complete the missing values in the table. Give temperatures to the nearest tenth of a degree 31. H(t): 135 196 258 319 15 74

Explanation / Answer

2) About as variable as Los Angeles, but generally cooler.

3) H(t) = 20.71sin(0.01681x-1.945)+68.97

t 15 74 135 196 258 319 H 48.4 55.6 75.6 89.2 83.1 63.3

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