The evidence for the evolution of the 15 species of finch from one common ancestor is primarily based on their similarities in physical characteristics, genetics, and behavior. They all have a similar body structure, such as beak size and shape, which has adapted according to the available food sources on the Galapagos islands. They also share a close genetic relationship, as genetic studies have shown that they all have a common ancestor. Finally, they exhibit similar behavior patterns, including feeding behavior, courtship behavior, and nesting behavior. These similarities provide strong evidence for their common ancestry.