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    Home»Machine Learning»Reviewing mathematically why SST = SSR + SSE in regression | by Bhargav Sridhar | Feb, 2025
    Machine Learning

    Reviewing mathematically why SST = SSR + SSE in regression | by Bhargav Sridhar | Feb, 2025

    Team_AIBS NewsBy Team_AIBS NewsFebruary 3, 2025No Comments1 Min Read
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    Unveiling the connection between the error phrases in regression

    Cantor’s Paradise

    Picture generated by DALL-E, OpenAI

    Regression is (along with many different issues) a supervised machine studying methodology, geared toward predicting continuous-valued outputs primarily based on a set of numerical inputs (sometimes called options). It finds plenty of use instances in actual life starting from gross sales forecasting and inventory market prediction to upkeep prediction for machines in a manufacturing or a producing setting.

    In a regression evaluation, the mannequin skilled and developed is evaluated utilizing 3 error phrases: SSR, SSE and SST (definitions to comply with). Mathematically, the SST denotes the overall variability within the mannequin efficiency and is expressed because the sum of SSR (the variability defined by the mannequin) and SSE (the unexplained variability). When exploring mathematically why this holds good, I discovered an intriguing method to show this relationship which I needed to share with you.

    I outline these 3 error phrases and their mathematical equation on this article. Then, I present the step-by-step process to derive the connection mentioned above. Let’s go!



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