Here are the results I've got:

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Comparison of two regressions

Grplt Grpst

n 4630 11800

meanx 5.5 5.5

SDx 2.8726 2.8724

meany 9.7261 3.0838

SDy 16.0482 9.2947

r -0.0693 -0.2317

t -4.7254 -25.8727

p <0.0001 <0.0001

Slope b -0.3871 -0.7498

Const a 11.8553 7.2077

blt-bst = -0.3627 SEdiff = 0.0691

t = -5.2493 df = 16426 p = <0.0001

Est. common slope = -0.6476

Diff. adj. means (lt-st) = 6.6423

SEdiff = 0.1986

t = 33.4444 df = 16427 p = <0.0001

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I am assuming the first two p values are for the two regression analysis for each of the two population groups. p = <0.0001 for both, which I interpret to say that the regression equations, the trend lines, are statistically significant for each group. Is this correctly interpreted?

Also, what does the t and r values for each of the two groups tell me?

The two last p values I assume refer to the actual comparison of the two groups. They seem to say that both the y-intercept constants and the slopes of the two regression lines are statistically significant to p = <0.0001. Is this correctly interpreted?

What does the t and df values tell me about the comparison?

Finally, what is the best way to report/present these results? Which measurements should I include? Only the p values, or do I need to include any of the other values?

Again, my goal is to be able to state that the trend lines for the two groups are statistically different.

I appreciate any help I can get on this. Thanks