Get Points from a Line (data set)

I have a set of n data pairs (x,y), that are actual measurements. lets say x = [1 2 3 4 5 6 7 10]; and y = [100 200 300 400 500 600 700 800 900 1000];

I need to get estimated values that were not measured.

For example,

how can I find a "y" value within the plotting of that line (a simple plot(x,y) ) when x = 1.75, or x = 4.05 and so on?

Thank you

Answer 1

[arich82]

[Edit to fix grammar and include output.]

It seems interp1 is the answer of the day...

x = [1 2 3 4 5 6 7 8 9 10]; % note: your given x didn't match numel(y)
y = [100 200 300 400 500 600 700 800 900 1000];

xq = [1.75, 4.05];
yq = interp1(x, y, xq)

figure;
plot(x, y, 'r-', xq, yq, 'k+')

Output:

yq =

    175.0000  405.0000

Please accept this answer if it helps, or leave a comment if I missed something.

[Gabs]

This did exactly what I wanted! Thanks!