The Snowshoe hare is the lynx's main food source, resulting in the two species interacting in a predator-prey relationship. When the hare is scarce, the lynx is vulnerable to starvation. After some time, the hare population increases due to the lynx population being lower. This cycle follows a sinusoidal pattern. Year2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018Population (In Thousands)31 44 50 40 22 75 21 22 20 33 The table gives the population of lynx, in thousands, over a 10-year period. In your model, letxbe the number of years since20082008andyrepresent the population of lynx in thousands. a) Use your calculator to plot the data. b) Use your calculator's regression tool to find a sinusoidal function that best fits the data. (Round all values to the nearest tenth. NOTE: Answers will vary based off regression software used.) c) Based on the model from part b), what is the predicted population in20272027? (Hint: Not in thousands, but the actual number predicted.) (Round your answer to the nearest whole number) Lynx