Answer Happy

The number of hours H of daylight in Denver, Colorado, on the 15th of each month starting with January are: 9.68, 10.72, 11.92, 13.25, 14.35, 14.97, 14.72, 13.73, 12.47, 11.18, 10.00, and 9.37. A model for the data is H(t) = 12.13 + 2.77 sin(-1.60) where t represents the month, with t= 1 corresponding to January.t (a) Use a graphing utility to graph the data points and the model in the same viewing window. H(t) H(D) 15 10 5 H(t) 15 10 5 (b) What is the period of the model? 8 10 12 10 -1 12 15 10 5 H(D) 15 10 5 4 10 12 10 12 t
(b) What is the period of the model? Is it what you expected? Explain. OYes, this is the expected value because there are 12 months in one year. Yes, this is the expected value because it corresponds to the number of data points. O No, this is not the expected value because there are 12 months in one year. No, this is not the expected value because there are four seasons in one year. No, this is not expected because this data is only representative of one year. (c) What is the amplitude of the model? What does it represent in the context of the problem? The amplitude represents the average number of hours of daylight. The amplitude represents the maximum hours of daylight. The amplitude represents the average displacement from the average number of hours of daylight. The amplitude represents the maximum displacement from the average number of hours of daylight. The amplitude represents the minimum hours of daylight.