Finding X value for a corresponding Y value from contents of a table

I'd like to find values from the following table.

     0        3.0000    1.0000    1.0000    1.0000    1.0000    1.0000
    0.0010    3.0000    1.6532    1.1366    1.0207    1.0025    1.0005
    0.0020    3.0000    1.9523    1.3355    1.0915    1.0206    1.0073
    0.0030    3.0000    2.1198    1.5034    1.1848    1.0592    1.0289
    0.0040    3.0000    2.2283    1.6362    1.2808    1.1137    1.0674
    0.0050    3.0000    2.3049    1.7426    1.3723    1.1783    1.1201
    0.0060    3.0000    2.3630    1.8301    1.4574    1.2484    1.1825
    0.0070    3.0000    2.4097    1.9042    1.5363    1.3208    1.2508
    0.0080    3.0000    2.4486    1.9686    1.6099    1.3935    1.3219
    0.0090    3.0000    2.4818    2.0259    1.6788    1.4653    1.3937
    0.0100    3.0000    2.5109    2.0775    1.7435    1.5355    1.4651
    0.0110    3.0000    2.5371    2.1250    1.8047    1.6033    1.5348
    0.0120    3.0000    2.5613    2.1691    1.8625    1.6685    1.6023
    0.0130    3.0000    2.5835    2.2104    1.9173    1.7312    1.6675
    0.0140    3.0000    2.6045    2.2492    1.9694    1.7911    1.7299
    0.0150    3.0000    2.6240    2.2859    2.0189    1.8483    1.7898
    0.0160    3.0000    2.6424    2.3205    2.0659    1.9030    1.8470

The column on th extreme left is independent quantity(say X) and the other columns contain multiple Y values observed over X. I'd like to find the value of X when Y = 1.5.

For instance, in the third column the value 1.5 doesn't occur. In such a case, I would like to interpolate. Any suggestion on how this can be done?

[Deepa Maheshvare]

I tried something like,

vq1 = interp1(data(3,:),data(1,:),1.5)

it didn't work though.

[ananya gupta]

EXAMPLE 7: EVALUATING FUNCTIONS AT SPECIFIC VALUES

Evaluate \displaystyle f\left(x\right)={x}^{2}+3x - 4f(x)=x​2​​+3x−4 at

1. \displaystyle 22
2. \displaystyle aa
3. \displaystyle a+ha+h
4. \displaystyle \frac{f\left(a+h\right)-f\left(a\right)}{h}​h​​f(a+h)−f(a)​​

SOLUTION

Replace the \displaystyle xx in the function with each specified value.

1. Because the input value is a number, 2, we can use algebra to simplify.⎧⎨⎩f(2)=22+3(2)−4=4+6−4=6{f(2)=22+3(2)−4=4+6−4=6
2. In this case, the input value is a letter so we cannot simplify the answer any further.\displaystyle f\left(a\right)={a}^{2}+3a - 4f(a)=a​2​​+3a−4
3. With an input value of \displaystyle a+ha+h, we must use the distributive property.{f(a+h)=(a+h)2+3(a+h)−4=a2+2ah+h2+3a+3h−4{f(a+h)=(a+h)2+3(a+h)−4=a2+2ah+h2+3a+3h−4
4. In this case, we apply the input values to the function more than once, and then perform algebraic operations on the result. We already found that\displaystyle f\left(a+h\right)={a}^{2}+2ah+{h}^{2}+3a+3h - 4f(a+h)=a​2​​+2ah+h​2​​+3a+3h−4and we know that\displaystyle f\left(a\right)={a}^{2}+3a - 4f(a)=a​2​​+3a−4Now we combine the results and simplify.⎧⎪

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⎧⎨⎩f(a+h)−f(a)h=(a2+2ah+h2+3a+3h−4)−(a2+3a−4)h⎧⎪

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=2ah+h2+3hh =h(2a+h+3)h{cc{ccFactor out h. =2a+h+3{cc{ccSimplify.

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[Walter Roberson]

Raj comments to ananya,

irrelevant to question

I agree with Raj, this does appear to be talking about something else entirely.

Answer 1

[Raj]

You can use 'interp1' command.

For example, in case of third column you can use:

interp1(A(:,4), A(:,1),1.5)

which gives

ans =

   0.002979749851102