Question

21. The table below shows pole vault heights for Olympic competition since 195 Years since 1952 0 Height in inches 1790 180.5 187.0 108.5 215.5 230.5 12 16 20 a. Find first differences of the data. b. Find second differences of the data. Which type of model of the function is a better fit for the data?

Answer 1

21. T he table below shows pole vault heights for Olympic competition since 195 Years since 19520 Height in inches 1790 180.5 187.0 198.5 215.5 236.5 12 16 20 a. Find first differences of the data. b. Find second differences of the data , Which type of model of the fünction is a better fit for the data? Ans.: Second Differences Years since 1952 Height in inches First Differences f (x) 179.0 180.5 187.0 198.5 215.5 236.5 Af (x) 180.5 -179.0 1.5 187.0 -180.5 6.5 198.5-187.0 11.5 215.5 -198.5 17.0 236.5-215.5= 21.0 6.5-1.5 5.0 11.5-6.5 = 5.0 17.0-11.5-5.5 21.0 17.0 4.0 0 4 12 16 20 Quadratic model of the function is a better fir for the data