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Linear Interpolation

  1. #1
    Metalmaniac
    Guest

    Linear Interpolation

    Hello,

    I am trying to create a formula that will lookup values in a column and find
    those values in another column and then place the value in the row next to it
    in a specific cell. So far this works with the formula
    (=VLOOKUP(I6,$D$11:$E$223,2)). Now most of the time the value for cell I6
    (thru I n) will not be found in the list ($D$11:$E$223) so I want to revise
    the formula to do one of two things:

    1. Always "interpolate" between points even when an exact match is found in
    ($D$11:$E$223)

    2. When the value for cell I6 (thru I n) is not found then find the values
    less than and greater than I6 and interpolate between the two points a value
    based on the slope of the function defined by the two sets of corresponding
    data.


    this is driving me insane!!!! Please help me! I have 20 years of data to
    enter and if I do it manually it will take 20 years.

  2. #2
    Tom Ogilvy
    Guest

    Re: Linear Interpolation

    http://groups.google.co.uk/groups?as...=2005&safe=off

    That should all be one line in your browser navigation window.

    --
    Regards,
    Tom Ogilvy



    "Metalmaniac" <Metalmaniac@discussions.microsoft.com> wrote in message
    news:4B74742A-5CD9-4757-857E-127268883D2F@microsoft.com...
    > Hello,
    >
    > I am trying to create a formula that will lookup values in a column and

    find
    > those values in another column and then place the value in the row next to

    it
    > in a specific cell. So far this works with the formula
    > (=VLOOKUP(I6,$D$11:$E$223,2)). Now most of the time the value for cell I6
    > (thru I n) will not be found in the list ($D$11:$E$223) so I want to

    revise
    > the formula to do one of two things:
    >
    > 1. Always "interpolate" between points even when an exact match is found

    in
    > ($D$11:$E$223)
    >
    > 2. When the value for cell I6 (thru I n) is not found then find the values
    > less than and greater than I6 and interpolate between the two points a

    value
    > based on the slope of the function defined by the two sets of

    corresponding
    > data.
    >
    >
    > this is driving me insane!!!! Please help me! I have 20 years of data to
    > enter and if I do it manually it will take 20 years.




  3. #3
    Jim Thomlinson
    Guest

    RE: Linear Interpolation

    In order to come up with the interpolation formula (the easy way) just graph
    the source data and add a linear trend line. Right click the trend line and
    one of the options is to add the formula to the trend line. This will give
    you the formula of the best line through all of the points on the graph. If
    you wanted to interpolate between any two point look at the slope() and
    intercept() formulas. Using these you should be able to create the Y=aX + b
    formulas for each set of points.
    --
    HTH...

    Jim Thomlinson


    "Metalmaniac" wrote:

    > Hello,
    >
    > I am trying to create a formula that will lookup values in a column and find
    > those values in another column and then place the value in the row next to it
    > in a specific cell. So far this works with the formula
    > (=VLOOKUP(I6,$D$11:$E$223,2)). Now most of the time the value for cell I6
    > (thru I n) will not be found in the list ($D$11:$E$223) so I want to revise
    > the formula to do one of two things:
    >
    > 1. Always "interpolate" between points even when an exact match is found in
    > ($D$11:$E$223)
    >
    > 2. When the value for cell I6 (thru I n) is not found then find the values
    > less than and greater than I6 and interpolate between the two points a value
    > based on the slope of the function defined by the two sets of corresponding
    > data.
    >
    >
    > this is driving me insane!!!! Please help me! I have 20 years of data to
    > enter and if I do it manually it will take 20 years.


  4. #4
    Tom Ogilvy
    Guest

    Re: Linear Interpolation

    Just a thought, but
    that wouldn't work for the situation described/asked for unless the data was
    linear and fell exactly on the trend line.



    --
    Regards,
    Tom Ogilvy



    "Jim Thomlinson" <jamest@tcgiRe-Move-This.com> wrote in message
    news:0F693996-79A9-4E94-BC79-B553BB5DBA73@microsoft.com...
    > In order to come up with the interpolation formula (the easy way) just

    graph
    > the source data and add a linear trend line. Right click the trend line

    and
    > one of the options is to add the formula to the trend line. This will give
    > you the formula of the best line through all of the points on the graph.

    If
    > you wanted to interpolate between any two point look at the slope() and
    > intercept() formulas. Using these you should be able to create the Y=aX +

    b
    > formulas for each set of points.
    > --
    > HTH...
    >
    > Jim Thomlinson
    >
    >
    > "Metalmaniac" wrote:
    >
    > > Hello,
    > >
    > > I am trying to create a formula that will lookup values in a column and

    find
    > > those values in another column and then place the value in the row next

    to it
    > > in a specific cell. So far this works with the formula
    > > (=VLOOKUP(I6,$D$11:$E$223,2)). Now most of the time the value for cell

    I6
    > > (thru I n) will not be found in the list ($D$11:$E$223) so I want to

    revise
    > > the formula to do one of two things:
    > >
    > > 1. Always "interpolate" between points even when an exact match is found

    in
    > > ($D$11:$E$223)
    > >
    > > 2. When the value for cell I6 (thru I n) is not found then find the

    values
    > > less than and greater than I6 and interpolate between the two points a

    value
    > > based on the slope of the function defined by the two sets of

    corresponding
    > > data.
    > >
    > >
    > > this is driving me insane!!!! Please help me! I have 20 years of data

    to
    > > enter and if I do it manually it will take 20 years.




  5. #5
    Jim Thomlinson
    Guest

    Re: Linear Interpolation

    Agreed on the trend line part. It does assume that the formula of the best
    line is desired. This is why I gave the Slope and Intercept formulas which
    can be used on any two points. Using these formulas a linear formula can be
    created for each point to the next point in the series. This will require
    more calculations but it will work. Depends on what the user wants. I have
    done something similar using both linear and polynomial regression (Trend
    Formula) with success.
    --
    HTH...

    Jim Thomlinson


    "Tom Ogilvy" wrote:

    > Just a thought, but
    > that wouldn't work for the situation described/asked for unless the data was
    > linear and fell exactly on the trend line.
    >
    >
    >
    > --
    > Regards,
    > Tom Ogilvy
    >
    >
    >
    > "Jim Thomlinson" <jamest@tcgiRe-Move-This.com> wrote in message
    > news:0F693996-79A9-4E94-BC79-B553BB5DBA73@microsoft.com...
    > > In order to come up with the interpolation formula (the easy way) just

    > graph
    > > the source data and add a linear trend line. Right click the trend line

    > and
    > > one of the options is to add the formula to the trend line. This will give
    > > you the formula of the best line through all of the points on the graph.

    > If
    > > you wanted to interpolate between any two point look at the slope() and
    > > intercept() formulas. Using these you should be able to create the Y=aX +

    > b
    > > formulas for each set of points.
    > > --
    > > HTH...
    > >
    > > Jim Thomlinson
    > >
    > >
    > > "Metalmaniac" wrote:
    > >
    > > > Hello,
    > > >
    > > > I am trying to create a formula that will lookup values in a column and

    > find
    > > > those values in another column and then place the value in the row next

    > to it
    > > > in a specific cell. So far this works with the formula
    > > > (=VLOOKUP(I6,$D$11:$E$223,2)). Now most of the time the value for cell

    > I6
    > > > (thru I n) will not be found in the list ($D$11:$E$223) so I want to

    > revise
    > > > the formula to do one of two things:
    > > >
    > > > 1. Always "interpolate" between points even when an exact match is found

    > in
    > > > ($D$11:$E$223)
    > > >
    > > > 2. When the value for cell I6 (thru I n) is not found then find the

    > values
    > > > less than and greater than I6 and interpolate between the two points a

    > value
    > > > based on the slope of the function defined by the two sets of

    > corresponding
    > > > data.
    > > >
    > > >
    > > > this is driving me insane!!!! Please help me! I have 20 years of data

    > to
    > > > enter and if I do it manually it will take 20 years.

    >
    >
    >


  6. #6
    Tom Ogilvy
    Guest

    Re: Linear Interpolation

    If the OP wants a linear interpolation between just two points in his data
    as stated, unless his data falls exactly on his trendline, then using the
    formula for the trend line will not work (the formula for the trendline is a
    best fit for all the data points vice the two points being addressed -
    unless the special case that the data falls exactly on the trendline). No
    doubt you have had repeated success in all your endeavors, but no matter how
    well made, a left shoe doesn't fit a right foot.

    --
    Regards,
    Tom Ogilvy


    "Jim Thomlinson" <jamest@tcgiRe-Move-This.com> wrote in message
    news:A93BB000-B291-4BF9-BC6C-AC3BF92304BB@microsoft.com...
    > Agreed on the trend line part. It does assume that the formula of the best
    > line is desired. This is why I gave the Slope and Intercept formulas which
    > can be used on any two points. Using these formulas a linear formula can

    be
    > created for each point to the next point in the series. This will require
    > more calculations but it will work. Depends on what the user wants. I have
    > done something similar using both linear and polynomial regression (Trend
    > Formula) with success.
    > --
    > HTH...
    >
    > Jim Thomlinson
    >
    >
    > "Tom Ogilvy" wrote:
    >
    > > Just a thought, but
    > > that wouldn't work for the situation described/asked for unless the data

    was
    > > linear and fell exactly on the trend line.
    > >
    > >
    > >
    > > --
    > > Regards,
    > > Tom Ogilvy
    > >
    > >
    > >
    > > "Jim Thomlinson" <jamest@tcgiRe-Move-This.com> wrote in message
    > > news:0F693996-79A9-4E94-BC79-B553BB5DBA73@microsoft.com...
    > > > In order to come up with the interpolation formula (the easy way) just

    > > graph
    > > > the source data and add a linear trend line. Right click the trend

    line
    > > and
    > > > one of the options is to add the formula to the trend line. This will

    give
    > > > you the formula of the best line through all of the points on the

    graph.
    > > If
    > > > you wanted to interpolate between any two point look at the slope()

    and
    > > > intercept() formulas. Using these you should be able to create the

    Y=aX +
    > > b
    > > > formulas for each set of points.
    > > > --
    > > > HTH...
    > > >
    > > > Jim Thomlinson
    > > >
    > > >
    > > > "Metalmaniac" wrote:
    > > >
    > > > > Hello,
    > > > >
    > > > > I am trying to create a formula that will lookup values in a column

    and
    > > find
    > > > > those values in another column and then place the value in the row

    next
    > > to it
    > > > > in a specific cell. So far this works with the formula
    > > > > (=VLOOKUP(I6,$D$11:$E$223,2)). Now most of the time the value for

    cell
    > > I6
    > > > > (thru I n) will not be found in the list ($D$11:$E$223) so I want to

    > > revise
    > > > > the formula to do one of two things:
    > > > >
    > > > > 1. Always "interpolate" between points even when an exact match is

    found
    > > in
    > > > > ($D$11:$E$223)
    > > > >
    > > > > 2. When the value for cell I6 (thru I n) is not found then find the

    > > values
    > > > > less than and greater than I6 and interpolate between the two points

    a
    > > value
    > > > > based on the slope of the function defined by the two sets of

    > > corresponding
    > > > > data.
    > > > >
    > > > >
    > > > > this is driving me insane!!!! Please help me! I have 20 years of

    data
    > > to
    > > > > enter and if I do it manually it will take 20 years.

    > >
    > >
    > >




  7. #7
    Jim Thomlinson
    Guest

    Re: Linear Interpolation

    "repeated success in all your endeavors" seems to be an overly optomistic
    evaluation of my Excel endeavors, but if you insist. :-) I was just giving
    two alternatives to Metalmaniac which I thought was identified in my original
    reply. Which one will work best is up to him. I gave the trend line solution
    because of his statement "based on the slope of the function defined by the
    two sets of coresponding data".
    --
    HTH...

    Jim Thomlinson


    "Tom Ogilvy" wrote:

    > If the OP wants a linear interpolation between just two points in his data
    > as stated, unless his data falls exactly on his trendline, then using the
    > formula for the trend line will not work (the formula for the trendline is a
    > best fit for all the data points vice the two points being addressed -
    > unless the special case that the data falls exactly on the trendline). No
    > doubt you have had repeated success in all your endeavors, but no matter how
    > well made, a left shoe doesn't fit a right foot.
    >
    > --
    > Regards,
    > Tom Ogilvy
    >
    >
    > "Jim Thomlinson" <jamest@tcgiRe-Move-This.com> wrote in message
    > news:A93BB000-B291-4BF9-BC6C-AC3BF92304BB@microsoft.com...
    > > Agreed on the trend line part. It does assume that the formula of the best
    > > line is desired. This is why I gave the Slope and Intercept formulas which
    > > can be used on any two points. Using these formulas a linear formula can

    > be
    > > created for each point to the next point in the series. This will require
    > > more calculations but it will work. Depends on what the user wants. I have
    > > done something similar using both linear and polynomial regression (Trend
    > > Formula) with success.
    > > --
    > > HTH...
    > >
    > > Jim Thomlinson
    > >
    > >
    > > "Tom Ogilvy" wrote:
    > >
    > > > Just a thought, but
    > > > that wouldn't work for the situation described/asked for unless the data

    > was
    > > > linear and fell exactly on the trend line.
    > > >
    > > >
    > > >
    > > > --
    > > > Regards,
    > > > Tom Ogilvy
    > > >
    > > >
    > > >
    > > > "Jim Thomlinson" <jamest@tcgiRe-Move-This.com> wrote in message
    > > > news:0F693996-79A9-4E94-BC79-B553BB5DBA73@microsoft.com...
    > > > > In order to come up with the interpolation formula (the easy way) just
    > > > graph
    > > > > the source data and add a linear trend line. Right click the trend

    > line
    > > > and
    > > > > one of the options is to add the formula to the trend line. This will

    > give
    > > > > you the formula of the best line through all of the points on the

    > graph.
    > > > If
    > > > > you wanted to interpolate between any two point look at the slope()

    > and
    > > > > intercept() formulas. Using these you should be able to create the

    > Y=aX +
    > > > b
    > > > > formulas for each set of points.
    > > > > --
    > > > > HTH...
    > > > >
    > > > > Jim Thomlinson
    > > > >
    > > > >
    > > > > "Metalmaniac" wrote:
    > > > >
    > > > > > Hello,
    > > > > >
    > > > > > I am trying to create a formula that will lookup values in a column

    > and
    > > > find
    > > > > > those values in another column and then place the value in the row

    > next
    > > > to it
    > > > > > in a specific cell. So far this works with the formula
    > > > > > (=VLOOKUP(I6,$D$11:$E$223,2)). Now most of the time the value for

    > cell
    > > > I6
    > > > > > (thru I n) will not be found in the list ($D$11:$E$223) so I want to
    > > > revise
    > > > > > the formula to do one of two things:
    > > > > >
    > > > > > 1. Always "interpolate" between points even when an exact match is

    > found
    > > > in
    > > > > > ($D$11:$E$223)
    > > > > >
    > > > > > 2. When the value for cell I6 (thru I n) is not found then find the
    > > > values
    > > > > > less than and greater than I6 and interpolate between the two points

    > a
    > > > value
    > > > > > based on the slope of the function defined by the two sets of
    > > > corresponding
    > > > > > data.
    > > > > >
    > > > > >
    > > > > > this is driving me insane!!!! Please help me! I have 20 years of

    > data
    > > > to
    > > > > > enter and if I do it manually it will take 20 years.
    > > >
    > > >
    > > >

    >
    >
    >


  8. #8
    Tom Ogilvy
    Guest

    Re: Linear Interpolation

    My comments were only aimed at the use of the Trend line in a chart method.

    Slope and intercept are useful, but personally I would look at Forecast or
    Trend in this case.

    but in any event, identifying the X /Y values to interpolate are more the
    challenge in using any of them. Those methods should be contained/discussed
    in the link provided.

    --
    Regards,
    Tom Ogilvy

    "Jim Thomlinson" <jamest@tcgiRe-Move-This.com> wrote in message
    news:B62CDB69-91B9-442C-8C10-1C01746380B5@microsoft.com...
    > "repeated success in all your endeavors" seems to be an overly optomistic
    > evaluation of my Excel endeavors, but if you insist. :-) I was just

    giving
    > two alternatives to Metalmaniac which I thought was identified in my

    original
    > reply. Which one will work best is up to him. I gave the trend line

    solution
    > because of his statement "based on the slope of the function defined by

    the
    > two sets of coresponding data".
    > --
    > HTH...
    >
    > Jim Thomlinson
    >
    >
    > "Tom Ogilvy" wrote:
    >
    > > If the OP wants a linear interpolation between just two points in his

    data
    > > as stated, unless his data falls exactly on his trendline, then using

    the
    > > formula for the trend line will not work (the formula for the trendline

    is a
    > > best fit for all the data points vice the two points being addressed -
    > > unless the special case that the data falls exactly on the trendline).

    No
    > > doubt you have had repeated success in all your endeavors, but no matter

    how
    > > well made, a left shoe doesn't fit a right foot.
    > >
    > > --
    > > Regards,
    > > Tom Ogilvy
    > >
    > >
    > > "Jim Thomlinson" <jamest@tcgiRe-Move-This.com> wrote in message
    > > news:A93BB000-B291-4BF9-BC6C-AC3BF92304BB@microsoft.com...
    > > > Agreed on the trend line part. It does assume that the formula of the

    best
    > > > line is desired. This is why I gave the Slope and Intercept formulas

    which
    > > > can be used on any two points. Using these formulas a linear formula

    can
    > > be
    > > > created for each point to the next point in the series. This will

    require
    > > > more calculations but it will work. Depends on what the user wants. I

    have
    > > > done something similar using both linear and polynomial regression

    (Trend
    > > > Formula) with success.
    > > > --
    > > > HTH...
    > > >
    > > > Jim Thomlinson
    > > >
    > > >
    > > > "Tom Ogilvy" wrote:
    > > >
    > > > > Just a thought, but
    > > > > that wouldn't work for the situation described/asked for unless the

    data
    > > was
    > > > > linear and fell exactly on the trend line.
    > > > >
    > > > >
    > > > >
    > > > > --
    > > > > Regards,
    > > > > Tom Ogilvy
    > > > >
    > > > >
    > > > >
    > > > > "Jim Thomlinson" <jamest@tcgiRe-Move-This.com> wrote in message
    > > > > news:0F693996-79A9-4E94-BC79-B553BB5DBA73@microsoft.com...
    > > > > > In order to come up with the interpolation formula (the easy way)

    just
    > > > > graph
    > > > > > the source data and add a linear trend line. Right click the trend

    > > line
    > > > > and
    > > > > > one of the options is to add the formula to the trend line. This

    will
    > > give
    > > > > > you the formula of the best line through all of the points on the

    > > graph.
    > > > > If
    > > > > > you wanted to interpolate between any two point look at the

    slope()
    > > and
    > > > > > intercept() formulas. Using these you should be able to create the

    > > Y=aX +
    > > > > b
    > > > > > formulas for each set of points.
    > > > > > --
    > > > > > HTH...
    > > > > >
    > > > > > Jim Thomlinson
    > > > > >
    > > > > >
    > > > > > "Metalmaniac" wrote:
    > > > > >
    > > > > > > Hello,
    > > > > > >
    > > > > > > I am trying to create a formula that will lookup values in a

    column
    > > and
    > > > > find
    > > > > > > those values in another column and then place the value in the

    row
    > > next
    > > > > to it
    > > > > > > in a specific cell. So far this works with the formula
    > > > > > > (=VLOOKUP(I6,$D$11:$E$223,2)). Now most of the time the value

    for
    > > cell
    > > > > I6
    > > > > > > (thru I n) will not be found in the list ($D$11:$E$223) so I

    want to
    > > > > revise
    > > > > > > the formula to do one of two things:
    > > > > > >
    > > > > > > 1. Always "interpolate" between points even when an exact match

    is
    > > found
    > > > > in
    > > > > > > ($D$11:$E$223)
    > > > > > >
    > > > > > > 2. When the value for cell I6 (thru I n) is not found then find

    the
    > > > > values
    > > > > > > less than and greater than I6 and interpolate between the two

    points
    > > a
    > > > > value
    > > > > > > based on the slope of the function defined by the two sets of
    > > > > corresponding
    > > > > > > data.
    > > > > > >
    > > > > > >
    > > > > > > this is driving me insane!!!! Please help me! I have 20 years

    of
    > > data
    > > > > to
    > > > > > > enter and if I do it manually it will take 20 years.
    > > > >
    > > > >
    > > > >

    > >
    > >
    > >




  9. #9
    Jim Thomlinson
    Guest

    Re: Linear Interpolation

    As always it has been a pleasure butting propellors with you but I think we
    have probably beaten this horse to death by now. Trend, Forecast, Trend Line,
    Slope and Intercept. If that doesn't cover it nothing will. One day we will
    have to get together and argue in person.
    --
    HTH...

    Jim Thomlinson


    "Tom Ogilvy" wrote:

    > My comments were only aimed at the use of the Trend line in a chart method.
    >
    > Slope and intercept are useful, but personally I would look at Forecast or
    > Trend in this case.
    >
    > but in any event, identifying the X /Y values to interpolate are more the
    > challenge in using any of them. Those methods should be contained/discussed
    > in the link provided.
    >
    > --
    > Regards,
    > Tom Ogilvy
    >
    > "Jim Thomlinson" <jamest@tcgiRe-Move-This.com> wrote in message
    > news:B62CDB69-91B9-442C-8C10-1C01746380B5@microsoft.com...
    > > "repeated success in all your endeavors" seems to be an overly optomistic
    > > evaluation of my Excel endeavors, but if you insist. :-) I was just

    > giving
    > > two alternatives to Metalmaniac which I thought was identified in my

    > original
    > > reply. Which one will work best is up to him. I gave the trend line

    > solution
    > > because of his statement "based on the slope of the function defined by

    > the
    > > two sets of coresponding data".
    > > --
    > > HTH...
    > >
    > > Jim Thomlinson
    > >
    > >
    > > "Tom Ogilvy" wrote:
    > >
    > > > If the OP wants a linear interpolation between just two points in his

    > data
    > > > as stated, unless his data falls exactly on his trendline, then using

    > the
    > > > formula for the trend line will not work (the formula for the trendline

    > is a
    > > > best fit for all the data points vice the two points being addressed -
    > > > unless the special case that the data falls exactly on the trendline).

    > No
    > > > doubt you have had repeated success in all your endeavors, but no matter

    > how
    > > > well made, a left shoe doesn't fit a right foot.
    > > >
    > > > --
    > > > Regards,
    > > > Tom Ogilvy
    > > >
    > > >
    > > > "Jim Thomlinson" <jamest@tcgiRe-Move-This.com> wrote in message
    > > > news:A93BB000-B291-4BF9-BC6C-AC3BF92304BB@microsoft.com...
    > > > > Agreed on the trend line part. It does assume that the formula of the

    > best
    > > > > line is desired. This is why I gave the Slope and Intercept formulas

    > which
    > > > > can be used on any two points. Using these formulas a linear formula

    > can
    > > > be
    > > > > created for each point to the next point in the series. This will

    > require
    > > > > more calculations but it will work. Depends on what the user wants. I

    > have
    > > > > done something similar using both linear and polynomial regression

    > (Trend
    > > > > Formula) with success.
    > > > > --
    > > > > HTH...
    > > > >
    > > > > Jim Thomlinson
    > > > >
    > > > >
    > > > > "Tom Ogilvy" wrote:
    > > > >
    > > > > > Just a thought, but
    > > > > > that wouldn't work for the situation described/asked for unless the

    > data
    > > > was
    > > > > > linear and fell exactly on the trend line.
    > > > > >
    > > > > >
    > > > > >
    > > > > > --
    > > > > > Regards,
    > > > > > Tom Ogilvy
    > > > > >
    > > > > >
    > > > > >
    > > > > > "Jim Thomlinson" <jamest@tcgiRe-Move-This.com> wrote in message
    > > > > > news:0F693996-79A9-4E94-BC79-B553BB5DBA73@microsoft.com...
    > > > > > > In order to come up with the interpolation formula (the easy way)

    > just
    > > > > > graph
    > > > > > > the source data and add a linear trend line. Right click the trend
    > > > line
    > > > > > and
    > > > > > > one of the options is to add the formula to the trend line. This

    > will
    > > > give
    > > > > > > you the formula of the best line through all of the points on the
    > > > graph.
    > > > > > If
    > > > > > > you wanted to interpolate between any two point look at the

    > slope()
    > > > and
    > > > > > > intercept() formulas. Using these you should be able to create the
    > > > Y=aX +
    > > > > > b
    > > > > > > formulas for each set of points.
    > > > > > > --
    > > > > > > HTH...
    > > > > > >
    > > > > > > Jim Thomlinson
    > > > > > >
    > > > > > >
    > > > > > > "Metalmaniac" wrote:
    > > > > > >
    > > > > > > > Hello,
    > > > > > > >
    > > > > > > > I am trying to create a formula that will lookup values in a

    > column
    > > > and
    > > > > > find
    > > > > > > > those values in another column and then place the value in the

    > row
    > > > next
    > > > > > to it
    > > > > > > > in a specific cell. So far this works with the formula
    > > > > > > > (=VLOOKUP(I6,$D$11:$E$223,2)). Now most of the time the value

    > for
    > > > cell
    > > > > > I6
    > > > > > > > (thru I n) will not be found in the list ($D$11:$E$223) so I

    > want to
    > > > > > revise
    > > > > > > > the formula to do one of two things:
    > > > > > > >
    > > > > > > > 1. Always "interpolate" between points even when an exact match

    > is
    > > > found
    > > > > > in
    > > > > > > > ($D$11:$E$223)
    > > > > > > >
    > > > > > > > 2. When the value for cell I6 (thru I n) is not found then find

    > the
    > > > > > values
    > > > > > > > less than and greater than I6 and interpolate between the two

    > points
    > > > a
    > > > > > value
    > > > > > > > based on the slope of the function defined by the two sets of
    > > > > > corresponding
    > > > > > > > data.
    > > > > > > >
    > > > > > > >
    > > > > > > > this is driving me insane!!!! Please help me! I have 20 years

    > of
    > > > data
    > > > > > to
    > > > > > > > enter and if I do it manually it will take 20 years.
    > > > > >
    > > > > >
    > > > > >
    > > >
    > > >
    > > >

    >
    >
    >


  10. #10
    Tushar Mehta
    Guest

    Re: Linear Interpolation

    I didn't go through all the hits in the google archive (the link Tom
    provided) but using a formula for a general purpose solution is kinda
    messy. By contrast a user defined function (UDF) might be a lot
    cleaner. And, it can written to handle multiple a vector of input
    values and return a vector of results with a single call!

    In any case, if you want to stick with formulas, you would need to do
    the following. Suppose the x and y data are in columns A and B
    starting with row 1 (i.e., no header).

    Then, define the following names (Insert | Names > Define...):
    XVals =OFFSET(Sheet1!$A$1,0,0,COUNTA(Sheet1!$A:$A),1)
    YVals =OFFSET(XVals,,1)
    XMax =INDEX(XVals,COUNTA(Sheet1!$A:$A))
    XMin =INDEX(XVals,1)
    YMax =OFFSET(XMax,,1)
    YMin =OFFSET(XMin,,1)

    Now, if you want the interpolated y value corresponding to the x value
    in D2, use

    =IF(OR(D2<XMin,D2>XMax),"out of bounds",IF(ABS(D2-XMax)
    <0.00000001,YMax,FORECAST(D2,OFFSET(YMin,MATCH(D2,XVals,1)-
    1,0,2,1),OFFSET(XMin,MATCH(D2,XVals,1)-1,0,2,1))))

    I wrote a UDF for linear interpolation some time back. I will try and
    find it, but no promises.

    --
    Regards,

    Tushar Mehta
    www.tushar-mehta.com
    Excel, PowerPoint, and VBA add-ins, tutorials
    Custom MS Office productivity solutions

    In article <4B74742A-5CD9-4757-857E-127268883D2F@microsoft.com>,
    Metalmaniac@discussions.microsoft.com says...
    > Hello,
    >
    > I am trying to create a formula that will lookup values in a column and find
    > those values in another column and then place the value in the row next to it
    > in a specific cell. So far this works with the formula
    > (=VLOOKUP(I6,$D$11:$E$223,2)). Now most of the time the value for cell I6
    > (thru I n) will not be found in the list ($D$11:$E$223) so I want to revise
    > the formula to do one of two things:
    >
    > 1. Always "interpolate" between points even when an exact match is found in
    > ($D$11:$E$223)
    >
    > 2. When the value for cell I6 (thru I n) is not found then find the values
    > less than and greater than I6 and interpolate between the two points a value
    > based on the slope of the function defined by the two sets of corresponding
    > data.
    >
    >
    > this is driving me insane!!!! Please help me! I have 20 years of data to
    > enter and if I do it manually it will take 20 years.
    >


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