The total numbers y of AIDS cases by year of diagnosis in Canada for the years 2005 through 2014 are shown in the table, with x = 5 corresponding to 2005.

(a) Use the regression capabilities of a graphing utility to find the following models for the data.y₁ = ax + by₂ = a + b ln xy₃ = ab^xy₄ = ax^b(b) Use a graphing utility to plot the data and graph each of the models. Which model do you think best fits the data?(c) Find the rate of change of each of the models in part (a) for the year 2012. Which model is decreasing at the greatest rate in 2012?

Transcribed Image Text:

X У X У 5 6 434 398 10 11 276 234 7 8 371 367 12 223 226 9 296 13 14 188