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Linear Modelingmedium
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Given a set of data points (1,2),(2,4),(3,5)(1, 2), (2, 4), (3, 5)(1,2),(2,4),(3,5), calculate the slope β1\beta_1β1​ of the best-fit line using the formula β1=∑(xi−xˉ)(yi−yˉ)∑(xi−xˉ)2\beta_1 = \frac{\sum (x_i - \bar{x})(y_i - \bar{y})}{\sum (x_i - \bar{x})^2}β1​=∑(xi​−xˉ)2∑(xi​−xˉ)(yi​−yˉ​)​.