How to show the inverse square law from a data set

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To demonstrate the inverse square law using a dataset of electric field strength (E) and distance (r), one can start with the relationship that E is proportional to 1/r². A non-graphical method involves manipulating the data mathematically rather than visually. Initially, the user struggled with finding a direct relationship but ultimately resolved their confusion. The key is to apply the inverse square relationship directly to the dataset. This approach confirms the inverse square law without the need for graphical representation.
BEECHBOY707
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Hi there! I have a data set of r (independent variable) and E (electric field strength) (dependent variable). The question asks for a non graphical method to show if there is an inverse square law relationship between the two data sets.
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My attempt:
I picked the equation of field strength in a radial field to show that E is proportional to the inverse of r squared. I then, without any obvious next move, tried to find a relationship between the two days sets. I tried simply putting the two into the formula, I tried logging E and then multiplying it by the square of r, but I have a mind black and don't know how to do it! Please help!
 
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Don't worry, worked it out. It was a mind blank after all!
 

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