I did the same sort of analysis of my last 150 days of Cronometer data that I did for protein and carbs, but compared day-to-day weight change to the amount of fat consumed. Here’s the scatter diagram for that data:
For me, this explodes the myth that to lose more weight you need to eat more fat. To be more accurate it is true from around 60 to 120 grams of fat that the more fat I ate the more weight I lost the following day. But the curve quickly reverses after that and shows a fairly straight rise. Past around 175 g of fat the weigh increases the next day.