Regression line calculator online at easycalculation.Test yourself: Numbas test on linear regression External Resources This linear regression calculator uses the least squares method to find the line of best fit for a set of paired data. This workbook produced by HELM is a good revision aid, containing key points for revision and many worked examples. The equation of the least squares regression line is \ Workbook The idea behind it is to minimise the sum of the vertical distance between all of the data points and the line of best fit.Ĭonsider these attempts at drawing the line of best fit, they all look like they could be a fair line of best fit, but in fact Diagram 3 is the most accurate as the regression line has been calculated using the least squares regression line. The calculation is based on the method of least squares. It turns out that the line of best fit has the equation: where. When you make the SSE a minimum, you have determined the points that are on the line of best fit. Enter all known values of X and Y into the form below and click the 'Calculate' button to calculate the linear regression equation. It also produces the scatter plot with the line of best fit. It turns out that the line of best fit has the equation: y a + bx. You can use this Linear Regression Calculator to find out the equation of the regression line along with the linear correlation coefficient.
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Using calculus, you can determine the values of a and b that make the SSE a minimum. The regression line can be used to predict or estimate missing values, this is known as interpolation. Using calculus, you can determine the values of and that make the SSE a minimum. The linear regression calculator generates the best-fitting equation and draws the linear regression line and the prediction interval. Equation 10.4.1 is called the Sum of Squared Errors (SSE). Simple linear regression aims to find a linear relationship to describe the correlation between an independent and possibly dependent variable. Contents Toggle Main Menu 1 Definition 2 Least Squares Regression Line, LSRL 2.1 Worked Examples 2.2 Video Example 3 Interpreting the Regression Line 3.1 Worked Example 4 Workbook 5 Test Yourself 6 External Resources 7 See Also Definition