Thanks for your inputs. Can you please let me know how these values of Hubble rate over time were measured? It would be great if you can point me to the source of these calculations.
Is there any observational data available for evolution of Hubble rate? To give some context, read the dark energy FAQ by Sean Caroll here.
He says:
"If the universe is decelerating, the Hubble constant is decreasing. If the Hubble constant is increasing, the universe is accelerating. But...