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The slope of the least squares regression line is given by where r is the correlation...

The slope of the least squares regression line is given by

where r is the correlation coefficient, sx is the standard deviation of the X‑values, and sy is the standard deviation of the Y‑values. If r = 0.25, sx = 2, and sy = 5, then how much should we expect Y to decrease for every one unit of increase in X?

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Answer #1

Your slop is =0.625

You given correlation is posstive. (r=0.25) It means x increases then y is also increses. It is not possible to x increase by unit then y is decrease....

if you give r= -0.25 then your stetment is correct . Then we can say x increases by one unit then y decreases multiply by 0.625 corresponding x units...

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