Question #1 [16 points]: The population of an insect (YT) on a tree was recorded for five days from Monday to Friday as follows: 2, 7, 9, 52, 80. Assume that the growth follows the trend model: YT-aß ɛT where T=1, 2, 3, 4, 5 for Monday, Tuesday...Friday, a and ẞ are parameter and ε error term. (a) Write the model in the linear equation form. (b) Compute the estimates of the parameters a and ẞ. (c) Compute the point estimate of insect growth rate in percentage. (d) Make forecast for Sunday and Monday. (e) Give 95% prediction interval for the forecast of Sunday.