1. Warm-up: List the four types of slope and draw a graph for each. **You need your Calculator today!!! Positive Negative Zero Undefined October 4 th, 2011 Happy Summer Birthday to : Zack Vandiver

2.  Scatter Plot –  Correlation –  Line of best fit – A graph used to determine whether there is a relationship between paired data The relationship between two data sets A model used to represent the trend in data

3.  If y tends to increase as x increases, the paired data are said to have a _____________ correlation.  If y tends to decrease as x increases, the paired data are said to have a _____________ correlation.  If x and y have no apparent relationship, the paired data are said to have _____________ correlation. positive negative no

4. Correlation  If the points show a trend and are close together, it has a _____________ correlation.  If the points show a trend but are not close together, it has a _____________ correlation. strong weak So your options are: -strong positive correlation -strong negative correlation -weak positive correlation -weak negative correlation -no correlation

5. strong negativeno

6. Linear Regression  Find the equation of the line that goes through the following points: (-6, -11), (-4, -5), (1, 10), (4, 19)  In your calculator: Press STAT ENTER Enter the x-values into L 1 Enter the y-values into L 2 Press STAT again Arrow to the right so that CALC is highlighted Select 4. LinReg Press ENTER Approximate the value of y for x=8. y = 3x + 7 31

7. Linear Regression – A Little Harder  Find the equation of the line that goes through the following points: (-4,15), (-2, 5), (1, -7), (3, -18), (7, -35) STAT EDIT L1 are x values, L2 are y values STAT CALC 4. LinReg Approximate the value of y for x=10. y = -4.54x – 3.46 -48.86

8. Estimating Age Enter the age of each of the following people in L 1 of your graphing calculator, by pressing STAT EDIT

9. Tiger Woods Julia RobertsCondoleezza Rice Queen Latifah Harrison Ford Stacy Ferguson aka. Fergie Miley Cyrus Zac Efron Steve CarellSarah Jessica ParkerDavid Beckham George W. Bush

10. How well did you estimate? Enter the actual age of each of these personalities in L 2 of your graphing calculator.

11. Actual Ages  Tiger Woods -- 35 -- December 30, 1975  Julia Roberts -- 44 -- October 28, 1967  Condoleeza Rice -- 57 -- November 14, 1954  Queen Latifa -- 41 -- March 18, 1970  Harrison Ford -- 69 -- July 13, 1942  Stacy Ferguson -- 36 -- March 27, 1975  Miley Cyrus -- 19 -- November 23, 1992  Zac Efron -- 23 -- October 18, 1987  Steve Carell -- 49 -- August 16, 1962  Sarah Jessica Parker -- 46 -- March 25, 1965  David Beckham -- 36 -- May 2, 1975  George W. Bush -- 65 -- July 6, 1946

12. Guessing Ages  How do you think we could judge if you are a good guesser? do a linear regression to see if the line is a good correlation

13. Guessing Ages  Go to Window and set a reasonable window to see your data (think in years).  Go to 2 nd Y= and turn on Plot 1 by highlighting it and pressing ENTER twice.  Enter y = x into y 1 of your calculator.  Where do your points fall in relationship to the perfect-guess line of y = x?

14. Guessing Ages  The perfect-guess line of y = x is also known as the linear parent function.

15.  WS