find relationship between age and events

I have 6 ages. Example, 5000, 7550 years before present and so on.

I have put these ages on a graph going back approx 15,000 years in history.

These ages (blue dots) look like they lie close to key points (the vertical lines) along this timeline, see this graph:

The right axis is temperature (degrees Celsius) [relates to the curve]

The left axis is age (thousands of years) [relates to the dots]

The x-axis is time (in thousands of years)

Is it possible to calculate some kind of correlation between these ages and their proximity to the vertical lines? I.e. to see if the dots are a consequence of the vertical lines (the events in history) - to see if they are somehow related? In other words, to measure the degree of difference between the vertical lines and dots, statistically?

My suggestion (it might be incorrect) - is it possible to join up the 6 ages and make a curve. Then, I should plot this curve on the existing curve. Then measure the degree of cross-correlation in Matlab to find a time lag - perhaps? Then perform a correlation calculation between the synthetic curve and the existing curve data - my concern is, there is not enough data for the synthetic curve - only 6 points - as opposed to possibly hundreds of points which make up the existing curve.

Suggestions welcome.

Thank you.

Answer 1

[Image Analyst]

You can call corrcoeff() and pass in the 6 ages, and 6 temperatures from the curve at the same x locations as the ages.

[Yatavakilla Amarendra Nath]

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