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QUESTION 2 [17 MARKS] Research study conducted by Senol Celik from Bingol University, Faculty of Agriculture Department of Animal Science has examined the milk production by the number of buffalos produced between the years of 2013-2017 in Turkey's Eskisehir, Ankara and Konya provinces as given in Table 2. This researcher used polynomial interpolation to estimate the amount of milk corresponding to the desired number of buffalos or vice- versa. Eskisehir Ankara Konya Amount of Amount of Number of Amount of Years Number of Number of milk milk milk buffalo buffalo buffalo production production production milked milked milked (ton) (ton) (ton 2013 96 102.848 370 412.843 152 195.168 2014 126 135.227 400 447.247 83 106.572 2015 131 139.988 533 595.674 121 155.364 2016 114 121.894 523 583.878 135 173.34 2017 144 154.273 785 876.80 270 346.68 1. Construct a fourth order inverse Newton's interpolation polynomial to estimate the number of milked buffalo in Ankara to produce 426.20 milk production (ton). (Use six decimal places in your calculation) 9 MARKS 2. By using the first three data in Table 2, fit the data with quadratic spline interpolation to estimate the amount of milk produce by the total of 130milked buffalos in Eskisehir. 8 MARKS