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    Question

    Which numerical method is commonly used to find the roots of nonlinear equations in statistical computing?    

    A Simpson’s Rule Correct Answer Incorrect Answer
    B Trapezoidal Rule Correct Answer Incorrect Answer
    C Newton-Raphson Method Correct Answer Incorrect Answer
    D Monte Carlo Simulation Correct Answer Incorrect Answer
    E Least Squares Method Correct Answer Incorrect Answer

    Solution

    The Newton-Raphson method is an iterative numerical technique used to find the roots of nonlinear equations. It works by approximating the solution through successive iterations, based on the function’s derivative. It is widely used due to its fast convergence properties, especially when the initial guess is close to the actual root. Simpson’s Rule : Used for numerical integration, not for finding roots. Trapezoidal Rule : Another numerical integration technique, not for root finding. Monte Carlo Simulation : Used for probabilistic modeling and statistical simulation, not root finding. Least Squares Method : A technique used to minimize the sum of squared differences, often used in regression analysis, not root finding.

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