correlation and regression analysis methods

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correlation and regression analysis methods correlation and regression analysis methods podzagolovok plan definition and purpose of correlation and regression types and interpretation of correlation and regression application with table and graphical representation what is correlation? • correlation is a statistical method used to measure the strength and direction of a linear relationship between two numerical variables. • it is expressed by the correlation coefficient (r), which ranges from -1 to +1: • +1 → perfect positive linear relationship • -1 → perfect negative linear relationship • 0 → no linear relationship • example: as the number of hours studied increases, the exam score also increases. this shows a positive correlation. • regression is a method that shows how one variable (called the dependent variable) changes depending on another variable (called the independent variable). • it helps us predict or estimate the value of one variable based on the value of …

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n coefficient (r) strength of relationship ±0.90 to ±1.00 very strong ±0.70 to ±0.89 strong ±0.40 to ±0.69 moderate ±0.10 to ±0.39 weak 0.00 to ±0.09 no or very weak correlation the value of r tells us the strength and direction of the relationship. example: if r = 0.85 → strong positive correlation if r = -0.60 → moderate negative correlation types of regression type description simple linear regression one independent variable (x) predicts one dependent variable (y). multiple linear regression two or more independent variables are used to predict one dependent variable. non-linear regression the relationship between variables is not a straight line (e.g., exponential). • this section demonstrates how correlation and regression are used in real-world data analysis with the help of a data table, scatter plot, and regression equation. • example: studying and exam scores • let’s say we want to analyze the relationship between the number …

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udy time leads to higher scores. • interpretation of correlation coefficient: • assume the correlation coefficient is r = 0.93 ➡ this means a very strong positive correlation. here is the graph showing the correlation and regression between hours studied and exam scores: •🔵 blue dots: actual data points •🔴 red dashed line: regression line based on the equation y = 6.5x + 45

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correlation and regression analysis methods correlation and regression analysis methods podzagolovok plan definition and purpose of correlation and regression types and interpretation of correlation and regression application with table and graphical representation what is correlation? • correlation is a statistical method used to measure the strength and direction of a linear relationship between two numerical variables. • it is expressed by the correlation coefficient (r), which ranges from -1 to +1: • +1 → perfect positive linear relationship • -1 → perfect negative linear relationship • 0 → no linear relationship • example: as the number of hours studied increases, the exam score also increases. this shows a positive correlation. • regression is a method that shows how one variable …

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