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Akilan km
Akilan km
𧬠Data Scientist | LLM & Generative AI Enthusiast | AI-Driven Analytics
Published Mar 22, 2023
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π Are you tired of making predictions that don't pan out or drawing conclusions that turn out to be inaccurate? Look no further than linear regression!
π Linearity, π΅ independence, π hom*oscedasticity, π normality, and π« no multicollinearity are the five key assumptions of linear regression. Ensuring these assumptions are met is critical to creating an accurate and reliable model for predicting and drawing insights from data.
β LINEARITY: The more a person weighs, the taller they tend to be. Linear regression can model this relationship between weight and height.
β INDEPENDENCE: A new medication's effectiveness should not be related to the responses of other patients. Independence ensures that the observations are not related, and any differences in response are due to the medication.
β hom*oSCEDASTICITY: The variance of the errors should be constant across all levels of study time. This ensures that the spread of the residuals is similar for all levels of study time, leading to more accurate predictions.
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β NORMALITY: The distribution of the residuals should be bell-shaped and symmetrical. This ensures that the errors are normally distributed, as in a study on the distribution of incomes.
β NO MULTICOLLINEARITY: Education level and years of experience should not be highly correlated with each other. This ensures that there is no perfect linear relationship between the independent variables, leading to more accurate predictions.
Understanding these assumptions is crucial when applying linear regression to real-world problems. By ensuring that these assumptions are met, you can improve the accuracy and reliability of your models and make better-informed decisions.
So what are you waiting for? Start using linear regression to make accurate predictions and gain insights from your data!
#LinearRegression #Statistics #DataScience #MachineLearning #PredictiveAnalytics #DataAnalysis #BusinessIntelligence #StatisticalModeling #RegressionAnalysis #DataVisualization #BigData #ArtificialIntelligence #Analytics #Mathematics #Programming #Python #RProgramming #STEM #QuantitativeAnalysis
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Catherine Teare Ketter
Former Teaching/Administrative Faculty, School of Marine Programs at University of Georgia
4mo
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Great for beginning students. I frequently find that graduate students new to data analysis fail to check that the underlying assumptions for a specific test statistic or analysis technique are met; frequently they are unaware of what these assumptions are! Thank you for a concise introduction to the assumptions of linear regression as a data analysis technique.
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