ISRO2011-52

Question

Given

X:	0	10	16
Y:	6	16	28

The interpolated value X=4 using piecewise linear interpolation is

• A. 11
• B. 4
• C. 22
• D. 10

Answer 1

Piecewise linear interpolation is a simple way of connecting points through straight lines

So equation Of line joining first 2 points is 

Y-x=6

So at x=4 , y is 10

Comments

Any reference ?

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@ManojK sir,

http://www.calpoly.edu/~gthorncr/ME236/Linear%20Interpolation.pdf

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you means distance between 2 related points should be constant(here is 6)?
or any other reason
if constant distance then 28-16 != 6
please explain

Answer 2

Piecewise linear interpolation is a simple way of connecting points through straight lines

So eq. Of line joining first 2 points is 

Y-x=6

So at x=4 , y is 10