The population of a town is recorded every year for 5 5​ years with Year 0 0​ being the town's population at the beginning of the record-keeping. The results are recorded in the table below. Year Population 0 0 19 , 266 19,266 1 1 17 , 753 17,753 2 2 16 , 654 16,654 3 3 15 , 750 15,750 4 4 14 , 953 14,953 5 5 14 , 112 14,112 ​​ a) Determine an exponential regression of the form = y=ab x ​ using the least-squares method to fit this data, where y​ is the town's population x​ years after record-keeping began. Round each value to four decimal places. y=20869.07668*0.8829^x Preview = 20869.07668 β‹… 0.882 9 y=20869.07668β‹…0.8829 x error Not quite. ​ b) Using the regression from a), what will the population of the town be at Year ​ 8 8​​? Round to the nearest whole number.



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