How do you explain a significant variable (p-value less than 0.05) in a linear regression equation in layman terms?
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2$p<0.05$ indicates a significant variable. Did you mean a p-value greater than 0.05? – Hugh Nov 11 '16 at 21:58
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A non-significant variable is one which you have not yet proven to have a "true" coefficient that is non-zero.

Silverfish
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Bernhard
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1I have edited for clarity of grammar, but I do think this provides an answer - albeit brief - to the question. – Silverfish Nov 12 '16 at 00:24
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Plesse feel free to delete the answer, if one-liners are inappropriate. I do not understand this as a statistical question that needs explanation and context in the answer. It is just a tip, on how to explain to outsiders and I found, those want short and easy explanations. – Bernhard Nov 12 '16 at 19:28