Describe one specific experience from your internship that best demonstrates your technical skills, problem-solving ability, and impact, including your role, actions taken, and the outcome achieved. Explain how to compute the square root of a given number x, including possible algorithms or methods, and discuss their efficiency, accuracy, or implementation considerations. Explain the key assumptions of linear regression, define Variance Inflation Factor (VIF), and describe how you would diagnose multicollinearity and implement solutions using statistical or software engineering tools.