Question

6. # since 1990/67 68 69 70 71 72 73 con tong 122.7 27.2 31.030.731.7 35.3 37.9 . 3rd differences: b.) 4th differences: C.) Better fit model D.) use a model to find cost of construction in 1976

Answer 1

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part a)

X Y(X) 1st order 2nd order 3rd order 67 22.7 68 27.2 -0.35 -0.56667 -2.05 0.9 70 30.7 0.65 0.21667 71 31.7 -0 .0 72 35.3 -0.5 73 37.9

Part b )

X Y(X) 1st order 2nd order 3rd order 4th order 67 22.7 68 27.2 -0.35 -0.56667 69 31 -2.05 0.36667 0.9 70 30.7 0.65 -0.17083 0.21667 71 31.7 -0.20417 -0.6 72 35.3 -0.5 73 37.9

Now part c )

X Y(X) 1st order 2nd order 3rd order 4th order 5th order 6th order 67 22.7 68 27.2 -0.35 -0.56667 69 31 -2.05 0.36667 0.9 -0.1075 70 30.7 0.65 -0.17083 0.01681 0.21667 -0.00667 71 31.7 -0.20417 -0.6 72 35.3 -0.5 73 37.9

Fargs) oras 92.74 (267) (us) + (x-67) (2268) + (x=67) (x+68) (889) (-0.56667) to & 167(268) (arral (ato) (0-71) and 72 (0101881) 711512 XS - 1254.9320 x 4 10.01881 x8 - 118010.98958x²+6240847. 48058x² -175961 489.6958 +2066692555 yen 1925 year 1976 de 26 anos p(16) = 252.4772