Graphical Method

While drawing the graph on a natural scale, the independent variables are marked along the horizontal line and corresponding dependent variables are taken as ordinates. The points so plotted are joined by a smooth curve. For interpolation, the value of the independent variable is marked at the proper place on the X-axis and a line perpendicular to the X-axis is drawn from the point so marked to intersect the curve. Again by drawing a line perpendicular to the Y-axis from the point of intersection on the curve to meet the Y-axis, the value of the dependent variable is ascertained by reading off the value at the point of intersection with the Y-axis. The illustration given below demonstrates the use of this method.

Example 

The population of a town is as follows:

Figure 

Year 1941 1951 1961 1971 1981 1991 Population (in 000's) 24 30 40 54 78 104

Find the population for the years 1976 and 1978.

Marking points on the X-axis, for the years 1976 and 1978, and dropping perpendiculars, the population for the years can be interpolated as 65,000 and 70,000 respectively.

Posted Date: 9/13/2012 8:10:50 AM | Location : United States

Ask an Expert

Related Discussions:- Graphical method for interpolation, Assignment Help, Ask Question on Graphical method for interpolation, Get Answer, Expert's Help, Graphical method for interpolation Discussions

Write discussion on Graphical method for interpolation
Your posts are moderated

Write your message here..

Related Questions

Quadric surfaces - three dimensional spaces, Quadric Surfaces Earlier w... Quadric Surfaces Earlier we have looked at lines and planes in three dimensions (or R 3 ) and when these are used fairly heavily at times in a Calculus class there are several

Example of probability, Example of Probability: Example: By using... Example of Probability: Example: By using a die, what is the probability of rolling two 3s in a row? Solution: From the previous example, there is a 1/6 chance of

Algebra, find the value of A and B if the following polynomials are perfect... find the value of A and B if the following polynomials are perfect square:

Complex Numbers, How do you compute the phase/angle of a complex number? i.... How do you compute the phase/angle of a complex number? i.e 1+2i

Complex number, The points A,B,C and D represent the numbers Z1,Z2,Z3 and Z... The points A,B,C and D represent the numbers Z1,Z2,Z3 and Z4.ABCD is rhombus;AC=2BD.if  Z2=2+i ,Z4=1-2i,find Z1 and Z3 Ans) POI of diagonals: (3-i)/2. Using concept of rotation:

Compute steady state value of capital - solow growth model, Consider the So... Consider the Solow growth model as given in the lecture notes using the Cobb-Douglas production function Y t = AK 1-α t L α t a) Set up the underlying nonlinear differen

North west corner method, What is the history of North west corner method i... What is the history of North west corner method in transportation problem? Why there are only m+n-1 solution to the transportation problem?

Personal assistance needed, I have an original finding on the subject of pr... I have an original finding on the subject of prime distribution and would like expert help in my endeavors. I have written a paper describing everything in detail and demonstration

HELP, WHAT TWO SIX DIDGIT NUMBERS CAN YOU ADD 984,357 WHAT TWO SIX DIDGIT NUMBERS CAN YOU ADD 984,357

Homework, How do you simplify 10:30:45 How do you simplify 10:30:45