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Mr. Borosky Section 5.7 Algebra 1 5.7 Predict With Linear Models p. 335-341 Objective: 1. You will make predictions using best-fitting lines. Best Fitting Line – the line that most closely follows a trend in data. Linear Regression – the process of finding the best-fitting line to model a set of data. Linear Interpolation – using a line or its equation to approximate a value between 2 known values. Linear Extrapolation – using a line or its equation to approximate a value outside the range of known values. Zero of a Function – is an x value for which f(x) = 0 or y = 0. Because y = 0 on the x-axis A ZERO OF A FUNCTION IS AN X-INTERCEPT of the functions graph. Key Concept Box p. 337 Relating Solutions of Equations, x-intercepts of graphs, and Zeros of functions In Chapter 3 you In chapter 4 you Now you are finding learned to solve an found the x-intercept the zero of a equation like of the graph of a function like 2x – 4 = 0 function like f(x) = 2x – 4 + 4 +4 y = 2x – 4 f(x) = 0 2x = 4 So 2 2 0 = 2x – 4 X = 2 +4 +4 The Solution of 4 = 2x 2x – 4 = 0 is 2 2 2 2 = x The zero of f(x) = 2x – 4 is 2 5.7 Predict With Linear Models p. 335-341 Page 1 of 1