1. WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4

2. WARM – UP #5 SOLUTIONS 1. Graph 4x – 5y = -20 x-intercept (y = 0)4x - 5(0) = -20 4x = -20x = -5 (-5, 0) y-intercept (x = 0) 4(0) - 5y = -20 -5y = -20 y = 4 (0, 4)

3. WARM – UP #5 SOLUTIONS 2. Graph y = -3x + 2 Slope = -3 y-int: (0, 2)

4. WARM – UP #5 SOLUTIONS 4. Graph x = -4

5. LESSON 2-5 USING LINEAR MODELS Algebra II

6. LEARNING OBJECTIVE To write linear equations that model real-world data To make predictions from linear models

7. Scatter Plot – graph that relates two sets of data by plotting the data as ordered pairs Correlation – strength of the relationship between data sets Correlation Coefficient r – indicates strength of correlation

8. Positive Correlation r is closer to 1 Negative Correlation r is closer to -1 No Correlation r is closer to 0

9. Line of Best Fit – the trend line that gives the most accurate model of related data To write the equation of the line: -Find slope of the line -Use the slope and a point to write an equation of the line

10. 1. a. Make a scatter plot b. Sketch a line of best fit c. What is the correlation? d. What is the equation for the line of best fit?

11. A. SCATTER PLOT

12. B. LINE OF BEST FIT

13. C. STRONG NEGATIVE CORRELATION!

14. D. LINE OF BEST FIT

15. 2. Using #1’s linear model, predict what your test score will be if you spend 10 hours on the computer daily. y = -8.3x + 100 y = -8.3(10) + 100 y = -83 + 100 y = 17 17%!! Spend more time studying and less time on the computer!!

16. TICKET OUT THE DOOR The table shows population and licensed driver from a recent year. a. Make a scatter plot b. Sketch a line of best fit c. Is the correlation strong or weak? Explain.

17. ASSIGNMENT: PG. 96 # 7 – 11, 14 - 17, 27 - 29 Don’t Cry. You got this!!!