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What I am confused about is if I can apply an f-test to compare the following, (and if so what is the best way)

I have two regression laws

Y = a1*X1 + a2*X2 + b

Y = a3*X1 + a4*X2 + b

Is the best way to test these quantitatively to compare each in turn against the reduced model Y = b

or can I compare them against one another directly by using the f-test?