Methods: This section describes in detail the methods used to answer the questions of interest. The description of the method should include all relevant mathematical formulas, hypotheses, and complete formulas. Also, explain why the methods were selected.

The Student Performance Dataset is a dataset designed to examine the factors influencing academic student performance. The dataset consists of 10,000 student records, with each record containing information about various predictors and a performance index.

Variables:
Hours Studied: The total number of hours spent studying by each student.
Previous Scores: The scores obtained by students in previous tests.
Extracurricular Activities: Whether the student participates in extracurricular activities (1 means Yes, and 0 means No).
Sleep Hours: The average number of hours of sleep the student had per day.
Sample Question Papers Practiced: The number of sample question papers the student practiced.

Target Variable:
Performance Index: A measure of the overall performance of each student. The performance index represents the student's academic performance and has been rounded to the nearest integer. The index ranges from 10 to 100, with higher values indicating better performance.