2. (40points) The data below shows Olympic triple jump winning distance for men in meters for years 1896 to 1992 (there were no Olympic games in 1916, 1940, and 1944). Men's Olympic Triple Jump Whining Distance (in meters) A least square regression line is obtained as: \"y =-62.312 +0040): The M85 is calculated as 0.014 (as an estimate of variance) and the Sxx==1 8153 a) Is there a signicant increasing linear trend in the triple jump distance.j Test at (F005 b) Calculate a 95% prediction interval for the winning jump in 2004. [)0 you think the prediction is; reliable? Explain why? Would a 95% condence interval for the winning jump in 2004 have a meaningful interpretation? Only explain, do not calculate C l