Hey there! Sign in to join this conversationNew here? Join for free
x Turn on thread page Beta
    • Thread Starter
    Offline

    7
    ReputationRep:
    How do you work an approximation using linear interpolation?
    Offline

    11
    ReputationRep:
    This is somewhat vague! Anyway, say you had (1, 4) (2, 9) and assumed a line between them you can work out y for any x. Either by inspection for example what is y when x = 3? Answer 14 by inspection.
    Or work out the equation of the line using the gradient of 5 \frac{y-4}{x-1}=5 \Rightarrow 5x-5=y-4 \Rightarrow y=5x-1 and now we could say what is y when x=27.5? Answer y=5 times 27.5 -1 = 136.5

    To summarise, linear interpolation is where you assume existing data has a linear relationship (y=mx+c) and use that relationship to work out other values. Technically, interpolation is where the values sought are within the range that you have data for and if not, it would be linear extrapolation.
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: April 19, 2016
Poll
Are you going to a festival?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.