For a linear regression analysis… the equation of a line is Y=MX+B, where M is the slope. So if I’m measuring a line across 365 days and M=.2, can I say that I have increased production by 20% over a year. Or is production increasing 20% each day?

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20% a day is 20% a year unless you're compounding

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Look at the units. If X unit is day, then M=0.2 implies 0.2 (units Y)/(days). It is not exactly 20%, it is instead 0.2 Y units per Day.

A 20% increase per day would not be linear growth which is what you modeled.

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Each day because X is one of 365.

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That would be 20% per year. 20% per day implies that each day is 20% better than the last (day1=100 units, day 2=120 units, day 3=144 units,etc...). Although 20% per year is still misleading and implies exponential growth. It would be more accurate to word it something like 'production has increased by 20% over the past year'.

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