What kind of objective function would you design and why


Problem

Imagine a Clustering problem where the educational researchers would like to find clusters of students (group of students) who have similar correlation patterns when it comes to correlation of their GPA vs Income of their parents. And you are hired as the Data Scientist to do this job.

What kind of Objective Function would you design? Why?

The response must include a reference list. Using Times New Roman 12 pnt font, double-space, one-inch margins, and APA style of writing and citations.

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