What kind of Objective Function would you design?

What kind of Objective Function would you design to find in clusters of students?

What kind of Objective Function would you design?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?Please use your own reasoning and explain in details

The paper should be written in the student’s own words, and no more than 4 pages in length, including a title page and reference page. This means two pages of content, which requires clear and focused writing

 A “similarity” score should be under 20%. Please check the Q &A post on Canvas if you

have any questions.

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Evaluation Criteria for Paper

A “similarity” score should be under 20%. Please check the Q &A post on Canvas if you have any questions.

(10%) Resources used as rationale for approaches and as sources of content

_____ 5. (20%) write paper in a scholarly manner
(4%) Format includes title page, body of paper, & reference page, with pages numbered

_____ 5. (20%) Write the Paper in a scholarly manner
(4%) Format includes title page, body of paper, & reference page, with pages numbered

APA style
(4%) Limit the paper to 4 pages in length, which includes title page and reference page
(4%) Cite references in the paper according to APA style
(4%) list References on the reference page according to APA style
(4%) Grammar, language, spelling, and sentence structure are at a college writing level