Olivia would now like to compare the climate of Johannesburg

Olivia would now like to compare the climate of Johannesburg, South Africa, to the climates of the other 3 cities. She collects data for the month of the year m and the average daily high temperature H in degrees Celsius, As before, m=0 represents the first day of January, and m=11 represents the first day of December

29. Use your graphing calculator to perform a sinusoidal regression on the data. Write the function in the form asin(bm+c)+d. Round off a, b, c, and d to 4 decimal places.

30. Circle the letter(s) of ALL statements that would accurately describe the climate of Johannaesburg in comparison to the other cities. Remember that in the Southern Hemisphere, summer is during the months of December, January, and February and winter during the months of June, July, and August.

A. Winters are cooler than all the other 3 cities.

B. Summers are hotter than all the other 3 cities.

C. More variable than Rio de Janeiro, but less variable than Hong Kong.

D. Cooler than Rio de Janeiro in the summer, and significantly cooler in winter.

E. During April, it will have about the same temp as Havana.

F. None of these is accurate.

31. What if Johannesburg\'s function had the same midline as Havana\'s, and its climate were as variable as Hong Kong\'s? Rewrite the function for Johannesburg to account for these new parameters, and complete the missing values in the table. Give temperatures to the nearest tenth of a degree.

H(m):_____________________________________________

Havana, Cuba
Hong Kong, China
Rio de Janeiro, Brazil

Solution