1. 0 100 200 300 400 500 600 Objective - To find the equation of the line of best fit for a given set of data. Animal Brain Weight (g) Max. Life (yr.) Mouse Fox Jaguar Sheep Pig Seal Donkey Chimp 0.4 50.4 157 175 180 325 419 440 3.2 9.8 22.4 20 27 41 40 50 x y Brain Weight (g) Max. Life (yrs.) 50 40 30 20 10

2. 0 100 200 300 400 500 600 x y Brain Weight (g) Max. Life (yrs.) 50 40 30 20 10 Trend is increasing Scatterplot - a coordinate graph of data points. Line of Best Fit -Points act like magnets attracting the line. Trend looks linear

3. 0 100 200 300 400 500 600 x y Brain Weight (g) Max. Life (yrs.) 50 40 30 20 10 Line of Best Fit -Points act like magnets attracting the line. Trend is increasing Trend looks linear Scatterplot - a coordinate graph of data points.

4. 0 100 200 300 400 500 600 x y Brain Weight (g) Max. Life (yrs.) 50 40 30 20 10 Line of Best Fit -Points act like magnets attracting the line. Trend is increasing Trend looks linear Scatterplot - a coordinate graph of data points.

5. 0 100 200 300 400 500 600 x y Brain Weight (g) Max. Life (yrs.) 50 40 30 20 10 Line of Best Fit -Points act like magnets attracting the line. Trend is increasing Trend looks linear Scatterplot - a coordinate graph of data points.

6. 0 100 200 300 400 500 600 x y Brain Weight (g) Max. Life (yrs.) 50 40 30 20 10 Line of Best Fit -Points act like magnets attracting the line. Trend is increasing Trend looks linear Scatterplot - a coordinate graph of data points.

7. 0 100 200 300 400 500 600 x y Brain Weight (g) Max. Life (yrs.) 50 40 30 20 10 Steps 1) Plot the points. 2) Draw the line of best fit. 3) Take two points off the line. (50, 10) (450, 50) (50, 10)(450, 50)

8. 0 100 200 300 400 500 600 x y Brain Weight (g) Max. Life (yrs.) 50 40 30 20 10 Steps 1) Plot the points. 2) Draw the line of best fit. 3) Take two points off the line. (50, 10) (450, 50) (50, 10)(450, 50) 4) Find the equation of the line using the two points.

9. Steps 1) Plot the points. 2) Draw the line of best fit. 3) Take two points off the line. (50, 10)(450, 50) 4) Find the equation of the line using the two points. Actual

10. Scatterplots Which scatterplots below show a linear trend? a) c)e) b) d)f)

11. Finding the Line of Best Fit Outlier x y Line of Best Fit Ignore outliers.

12. Finding the Line of Best Fit x y No Line of Best Fit Equal # of points above and below the line. Does not have to go through any points. Ignore outliers.

13. Finding the Line of Best Fit x y No Line of Best Fit Equal # of points above and below the line. Does not have to go through any points. Ignore outliers. Points attract the line like magnets to a metal rod.

14. Finding the Line of Best Fit x y Yes Line of Best Fit Equal # of points above and below the line. Does not have to go through any points. Ignore outliers. Points attract the line like magnets to a metal rod.

15. Choosing Two Points x y Yes Chosen points are too close together.

16. Choosing Two Points x y Yes Chosen points have sufficient spread.

17. Year Find the equation of the line of best fit for the data below. Sport Utility Vehicles (SUVs) Sales in U.S. Sales (in Millions) 1991 1992 1993 1994 1995 1996 1997 1998 1999 0.9 1.1 1.4 1.6 1.7 2.1 2.4 2.7 3.2 1991 1993 1995 1997 1999 1992 1994 1996 1998 2000 x y Year Vehicle Sales (Millions) 5432154321

18. Find the equation of the line of best fit for the data below. 1991 1993 1995 1997 1999 1992 1994 1996 1998 2000 x y Year Vehicle Sales (Millions) 5432154321 Steps 1) Plot the points. 2) Draw the line of best fit. 3) Take two points off the line. (1992, 1.1) (1999, 3) (1992, 1.1)(1999, 3) 4) Find the equation of the line using the two points.

19. Find the equation of the line of best fit for the data below. Steps 1) Plot the points. 2) Draw the line of best fit. 3) Take two points off the line. (1992, 1.1)(1999, 3) 4) Find the equation of the line using the two points. Actual

20. Find the equation of the line of best fit for the data below. 1991 1993 1995 1997 1999 1992 1994 1996 1998 2000 x y Year Vehicle Sales (Millions) 5432154321 (1992, 1.1) (1999, 3) If this trend continues, predict the sales for the year 2004.

21. The data below shows the gold medal perform- ance in high jump in some of the past Olympics Year High Jump (in.) 1948 1956 1964 1972 1980 1988 78 83.25 85.75 87.75 92.75 93.5 1948 1956 1964 1972 1980 1988 x y Year High Jump (in.) 100 80 60 40 20

22. The data below shows the gold medal perform- ance in high jump in some of the past Olympics 1948 1956 1964 1972 1980 1988 x y Year High Jump (in.) 100 80 60 40 20 (1948, 78) (1988, 94) (1948, 78)(1988, 94)

23. The data below shows the gold medal perform- ance in high jump in some of the past Olympics (1948, 78)(1988, 94) Actual

24. The data below shows the gold medal perform- ance in high jump in some of the past Olympics 1948 1956 1964 1972 1980 1988 x y Year High Jump (in.) 100 80 60 40 20 (1948, 78) (1988, 94) If this trend continues, predict the gold medal height in 2004.