Solve the following questions Olivia would now like to compa

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. Use your graphing calculator to perform a sinusoidal regression on the data. Write the function in the form a sin(bm + c) + d. Round off a, b, c, and d to 4 decimal places. Circle the letter(s) of all Statements that would accurately describe the climate of Johannesburg in comparison to the other cities. Remember that in the Southern Hemisphere, summer is during the months of December. January, and February and winter is during months of June, July, and August. Winters are cooler than all of the other 3 cities. Summers are hotter than all of the other 3 cities. More variable than Rio de Janeiro, but less variable than Hong Kong. Cooler than Rio de Janeiro in the summer, and significantly cooler in winter. During April, it will have about the same temperature as Havana. None of these is accurate. 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.

Solution

30

sumers are hotter than all of the other 3 cities

winters are cooler than all of the other 3 cities