Stitz-Zeager_College_Algebra_e-book

1 example 311 determine if the following functions

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Unformatted text preview: . Using advanced mathematical machinery,2 it is possible to 2 find the line which results in the lowest value of E . This line is called the least squares regression line, or sometimes the ‘line of best fit’. The formula for the line of best fit requires notation we won’t present until Chapter 9.1, so we will revisit it then. The graphing calculator can come to our assistance here, since it has a built in feature to compute the regression line. We enter the data and perform the Linear Regression feature and we get 1 2 and authors with more expertise in this area, Like Calculus and Linear Algebra 2.5 Regression 171 The calculator tells us that the line of best fit is y = ax + b where the slope is a ≈ 0.214 and the y -coordinate of the y -intercept is b ≈ 1.428. (We will stick to using three decimal places for our approximations.) Using this line, we compute the total squared error for our data to be E ≈ 1.786. The value r is the correlation coefficient and is a measure of h...
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