I have 2 values of population say 30000 for 2001 and 50000 for 2011, I want the population values for all the years between 2001 to 2011 following the trend of population rise from 2001 to 2011

do I use the extrapolation technique for this? If so how?

Answer 1

[sixwwwwww]

Dear Sourangsu,Using interplotation you can do like this:

Known_year = [2001 2011];
Known_year_population = [30000 50000];
Unknown_year = 2002:2010;
Unknown_year_population = interp1(Known_year, Known_year_population, Unknown_year);
year = 2001:2011;
population = [30000 Unknown_year_population(:,:) 50000];
plot(year, population, 'o-'), title('Population vs. Year'), xlabel('Year'), ylabel('Population')

Good luck!

Answer 2

[Image Analyst]

I hope this isn't homework - I'm assuming you're honest when you didn't apply the "homework" tag. Here is a solution using polyfit. Don't be scared - it's really only 3 lines - most of the code is just to make a fancy graph.

order = 1; % Whatever...
years = [2001, 2011];
population = [30000, 50000];

% Main part of the code is the next 3 lines:
coefficients = polyfit(years, population, order);
fittedYears = 2001 : 1 : 2011; % Years you want to estimate.
estimatedPopulation = polyval(coefficients, fittedYears)

% Now plot
fontSize = 20;
plot(fittedYears, estimatedPopulation, 'rs-', 'LineWidth', 2);
hold on;
plot(years, population, 'bo', ...
  'MarkerSize', 15, 'LineWidth', 3); % Training set.
grid on;
xlabel('Year', 'FontSize', fontSize);
ylabel('Population', 'FontSize', fontSize);
title('Demo by ImageAnalyst', 'FontSize', fontSize);
% Enlarge figure to full screen.
set(gcf, 'Units', 'Normalized', 'OuterPosition', [0 0 1 1]);
% Give a name to the title bar.
set(gcf, 'Name', 'Demo by ImageAnalyst', 'NumberTitle', 'Off')

[SOURANGSU]

thank you sir! It feels great to get an answer from you..