2. Fitting Lines to Data Points: Modeling Linear Functions Chapter 2 Lesson 2

3. Creating a Scatterplot

4. Creating a Scatterplot on Calculator Press STAT button Select option 1:Edit Fill in X values into L1, Y values into L2 Press 2 nd, STAT PLOT (Y=, top left) Press Enter on Plot 1 Turn Plot on, with scatterplot type selected Press GRAPH

5. Exactly Linear vs. Approximately Linear Exactly linear means that a linear line can be drawn and all points of the scatterplot will fall on the linear line. Approximately linear means that a linear line can be drawn and not all of the points of the scatterplot fall on the linear line.

6. Examples

7. Determining Exact or Approximate without Graphing If both the x and y values grow or decline at a constant rate, it can be modeled exactly. If not, it can only be modeled approximately

8. Examples

9. Creating a Linear Regression Model On your calculator Press the STAT button Press ENTER on option 1:Edit Fill out Tables L1 and L2 (X values in L1 and Y values in L2) Press the STAT button Go to the CALC tab Option number 4: LinReg(ax+b) Select Calculate Press Enter

10. Examples

11. Determining a Better Line of Fit Graph the Scatterplot and both lines Pick the one that fits best

12. Examples

13. Interpolation vs. Extrapolation When asked to estimate for a given value, if the given value falls between two known values in the table, then the estimate is interpolation. If the given value does not fall between two known values in the table, then the estimate is extrapolation.

14. Examples

15. Discrete vs. Continuous A discrete function is represented by a scatterplot, a set of ordered pairs, or a table of x and y values. A continuous function is represented by a line on a graph or an equation.

16. Examples

17. Homework Pages 119-126 3-8,11-14,20,21,25,26,28,31,33,35,37,40,41,45