Research study conducted by Senol Celik from Bingol University, Faculty of Agriculture Department of Animal Science...

   

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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. Years 2013 2014 2015 2016 2017 Eskisehir Number of buffalo milked 96 126 131 114 144 Amount of milk production (ton) 102.848 135.227 139.988 121.894 154.273 Ankara Number of buffalo milked 370 400 533 523 785 Amount of milk production (ton) 412.843 447.247 595.674 583.878 876.80 Konya Number of buffalo milked 152 83 121 135 270 Amount of milk production (ton) 195.168 106.572 155.364 173.34 346.68 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 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. Years 2013 2014 2015 2016 2017 Eskisehir Number of buffalo milked 96 126 131 114 144 Amount of milk production (ton) 102.848 135.227 139.988 121.894 154.273 Ankara Number of buffalo milked 370 400 533 523 785 Amount of milk production (ton) 412.843 447.247 595.674 583.878 876.80 Konya Number of buffalo milked 152 83 121 135 270 Amount of milk production (ton) 195.168 106.572 155.364 173.34 346.68 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

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