DXY price(P) is decided by D & S.
Now the rate(R) is 1.75, suppose D=S,
1.when R not changed, P is up, means, D is up, S should increase, in order to keep the balance;
2.when P decreased, R not changed, D is down, S should also down, if S keeps up, that means the Equity price may have bubble;
3.when R is down, but P increased, D is up, S should be cut, if S keeps up, that also means it will got the same result as 2.
.... And so on, that's only my analysis, maybe it is wrong.
The difficulty is that the said "Balance" is not fixed, it is hard to judge. Meanwhile, when the central bank uses the rate to control the inflation. That will also lead to break the balance sometimes.