2. How to Read, Develop, and Interpret GRAPHS! OBSERVATIONS: often are recorded in a data table. We INTERPRET our data table by making INFERENCES and PREDICTIONS One way to interpret is to ANALYZE data with GRAPHS #2

3. What is the relationship between Frog and Years for the following example: GRAPH IT YEAR ___# FROGS 1990500 1992 600 1994 800 1995 900 1996 1200 1998 1800

4. ANALYZE your DATA Identify your problem: What is the relationship between the years and the number of frogs

5. Step One: Draw your Axis Y-axis X-axis

6. Step Two: Label Your X Axis: Y-axis X-axis Years 1990 1992 1994 1996 1998 2000

7. Step Two: Now Label Your Y Axis: Y-axis X-axis YEARS FROGS 700 600 800 900 500 1000 1990 1992 1994 1996 1998 2000 Was there enough room to label your y axis completely for this problem?

8. Step Two: Now Label Your Y Axis: Y-axis X-axis So, we have to change the SCALE of our Y-axis YEARS FROGS 1200 900 1500 1800 600 2100 1990 1992 1994 1996 1998 2000

9. Step Three: Now Plot Your Points Y-axis X-axis Years FROGS 1200 900 1500 1800 600 2100 1990 1992 1994 1996 1998 2000

10. Step Four: Now Draw Your LINE Y-axis X-axis Years FROGS 1200 900 1500 1800 600 2100 1990 1992 1994 1996 1998 2000

11. Step Five: Title? Y-axis X-axis Years FROGS 1200 900 1500 1800 600 2100 1990 1992 1994 1996 1998 2000

12. Step Five: Years vs. Frogs Y-axis X-axis Years FROGS 1200 900 1500 1800 600 2100 1990 1992 1994 1996 1998 2000

13. Y-axis X-axis Years FROGS 1200 900 1500 1800 600 2100 1990 1992 1994 1996 1998 2000 What are the characteristics of the Red Point?

14. Y-axis X-axis Years FROGS 1200 900 1500 1800 600 2100 1990 1992 1994 1996 1998 2000 What is the x coordinate and the y coordinate of the red star? (1991, 650)

15. Y-axis X-axis Years FROGS 1200 900 1500 1800 600 2100 1990 1992 1994 1996 1998 2000 What is the x coordinate and the y coordinate of the green dot

16. Y-axis X-axis Years FROGS 1200 900 1500 1800 600 2100 1990 1992 1994 1996 1998 2000 What are the characteristics of the Green Star? (x=1997, y=1500 Frogs)

17. Y-axis X-axis Years FROGS 1200 900 1500 1800 600 2100 1990 1992 1994 1996 1998 2000 What would you estimate the frog population to be in 2000?

18. Y-axis X-axis Years FROGS 1200 900 1500 1800 600 2100 1990 1992 1994 1996 1998 2000 What would be the x and y coordinates for your prediction of the frog population in 2000? (Jan 2000, 2100 frogs)

19. Y-axis X-axis Years FROGS 1200 900 1500 1800 600 2100 1990 1992 1994 1996 1998 2000 This is called an EXTRAPOLATION

20. Y-axis X-axis Years FROGS 1200 900 1500 1800 600 2100 1990 1992 1994 1996 1998 2000 This is called an INTERPOLATION

21. Internet Questions: Line Graph #2