Explanation:
I don't have the data specific for this question, but I do have a general understanding of the science behind this and what the shape of this graph should look like.
The underwater mountain range and the Hawaiian Island chain were formed by a mantle plume hot spot, which is a hotter area in the mantle. Magma from the boundary between the lower mantle and inner core floated up due to its higher temperature and cooled to become a rock after reaching earth's surface, forming and island or volcano.
However, due to the movement of the Pacific Plate, this volcano moved away from its place precisely over the hot spot. Without heat from underneath, these volcanoes could no longer be active, rendering them extinct. The hot spot continued spewing lava, forming another volcano and repeating the cycle.
Over time, the rock from these volcanoes weathered and eroded away, causing them to sink under sea level and forming the mountain range and island chain.
Knowing the backstory behind Hawaii's formation, we can conclude that the islands further away from Hawaii, the biggest island with active volcanoes, are older in age.
I suspect it is a linear relationship!
I hope this somewhat helps! Sorry if it was a bit word heavy!
