1. 1.6 Modeling Real-World Data with Linear Functions Objectives Draw and analyze scatter plots. Write a predication equation and draw best-fit lines. Use a graphing calculator to compute correlation coefficients to determine goodness of fit. Solve problems using prediction equation models.

2. Modeling Real-World Data Academic Year Tuition and fees 1995-19962811 1996-19972975 1997-19983111 1998-19993247 1999-20003362 2000-20013487 2001-20023725 2002-20034115 2003-20044694 Paper-Pencil 1.Make a scatterplot 2.Use two points to write the equation of a line of fit. Graphing Calculator 1.Enter data into STAT 2.Find the linear regression 3.Determine correlation coefficient.

3. Example 1) Predict the average college cost in the academic year beginning in 2010 and 2018.

4. Best fit-line/regression line Many times there are several good choices for the line of fit for a linear equation. So computer/calculators use a correlation coefficient to describe the nature of the data. The more likely the data points fit a line the closer the correlation coefficient r approaches 1 or -1.