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Interpolation

A

ActStudent

Member
Q&A Bank Solution 3.4 (Page 2, the bit about a**68:60 = 2/5 x 11.372 + 3/5 X 11.849)

i.e.
a**68:60 = 2/5 x a**68:63 + 3/5 X a**68:58

2/5 = (60-58)/(63-58)
3/5 = (63-60)/(63-58)

Does anyone know if my understanding about the weighting is correct?

Solution 3.16 (Page 11)

a**73:70 = 2/5 X 10.233 + 3/5 X 8.110

i.e. a**73:70 = 2/5 X a**70:67 + 3/5 X a**75:72
right? I'm totally lost here. Anyone can explain this in more details? Thanks!
 
Yup, agree with you on both counts here.
I think the thing is we're interpolating in different directions in these two examples.

In the first case, we have table values for the correct (x=68) but not for the correct (y=60-x-8), so we take the values for x=68 and the two nearest y (y=x-10 and y=x-5) and interpolate between them.

In the second case, we have table values for the correct age gap (y-x= -3) but not for the correct (x=73). So we take the values for the nearest x (x=70, x=75) and interpolate between those.
 
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