Hello everyone,

I am a researcher in engineering. I do have some background on statistics and mathematics in general, but I am not a professional like many of you here. I hope you can give me some insight regarding the problem I am facing.

I have a set of data scattered more or less around the y=x line but the scatter does not start from the (0,0) point and it seems to increase with "x" (figure below). Up to a certain value of x, the data fit perfectly to a straight line. The actual best fit line is not y=x (let's say it is y=0.98x), however, it is meaningful in terms of the physical phenomena represented by the data to relate the statistics with the y=x line.

How would you describe this distribution in a meaningful and "powerful" manner as a statistician? For example, can I just calculate R^2 and say the data fits y=x with R2=...? This does not seem to be enough to me.

Thank you in advance,

best regards!

I am a researcher in engineering. I do have some background on statistics and mathematics in general, but I am not a professional like many of you here. I hope you can give me some insight regarding the problem I am facing.

I have a set of data scattered more or less around the y=x line but the scatter does not start from the (0,0) point and it seems to increase with "x" (figure below). Up to a certain value of x, the data fit perfectly to a straight line. The actual best fit line is not y=x (let's say it is y=0.98x), however, it is meaningful in terms of the physical phenomena represented by the data to relate the statistics with the y=x line.

How would you describe this distribution in a meaningful and "powerful" manner as a statistician? For example, can I just calculate R^2 and say the data fits y=x with R2=...? This does not seem to be enough to me.

Thank you in advance,

best regards!

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