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Calculate Linear Regression and Graph Scatter Plot and Line of Best Fit What is simple linear regression? Simple linear regression is a way to describe a relationship between two variables through an equation of a straight line, called line of best fit, that most closely models this relationship. A common form of a linear equation in the two variables x and y isy=mx+b where m and b designate constants. Given any set of n data points in the form (x_i, y_i), according to this method of minimizing the sum of square errors, the line of best fit is obtained whenm\sum_{i=1}^{n} x_i+bn=\sum_{i=1}^{n} y_im\sum_{i=1}^{n} x_i^2+b\sum_{i=1}^{n} x_i=\sum_{i=1}^{n} x_iy_i where the summations are taken over the entire data set. From the normal equations above, we can find the expressions for the unknown coefficients m and b. intercept b,b = \frac{\sum_{i=1}^{n} y_i - b\sum_{i=1}^{n} x_i}{n} where the summations are again taken over the entire data set Online Tool to Calculate Linear Regression and Graph Scatter Plot and Line of Best Fit The Standard Deviation

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