Malus Law Graph Question Homework: Urgent Help Needed!

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Homework Statement



ok, so i am writing my lab report which is due in tomorrow and the theory says that the graph of relative irradiance versus cos^{2}θ should be linear, the lab script has told me that i should expect the plot to deviated from the expected linear shape, so i have this curved graph infront of me and i don't know what to say about it- i can't say that yes it is linear when a best fit line does not lye within the error bars - does anyone know what is the reason for the curve and what shall i say in the conclusion and interpretion of the write up?
 
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To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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