1-7 Scatter Plots How can scatter plots help spot trends? Vocabulary • scatter plot – a graph that shows the relationship between two sets of data Constructing a Scatter Plot • In a scatter plot, two sets of data are graphed as ordered pairs on a coordinate system. • Choose something to represent on the x-axis, and something to represent on the y-axis. Example – Test Scores The table shows the average SAT math scores from 1990 – 2000. Year 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 Score 510 500 501 503 504 506 508 511 512 511 514 Make a scatter plot of the data. Number of Rebounds 18 16 14 12 10 Number of Rebounds 8 6 4 2 0 0 5 10 15 The Table shows the average cost of a loaf of bread from 1920 - 2000 Year 1920 1930 1940 1950 1960 1970 1980 1990 2000 Cents 12 9 8 14 20 24 52 72 99 Please make a scatter plot of the data. Interpreting a Scatter Plot Some types of relationships: • No Relationship – No –obvious patternsyy Negative Relationship –As Asxxincreases, increases, Positive Relationship decreases. increases Figures are from http://www.mste.uiuc.edu/courses/ci330ms/youtsey/scatterinfo.html. Please determine whether a scatter plot of the data for the following might show a positive, negative, or no relationship. Negative relationship Please determine whether a scatter plot of the data for the following might show a positive, negative, or no relationship. No relationship Please determine whether a scatter plot of the data for the following might show a positive, negative, or no relationship. Positive relationship A zoologist studied extinction times (in years) of island birds. The zoologist wanted to see if there was a relationship between the average number of nests and the time needed to each bird to become extinct on the islands. Use the table of data on the next slide to make a prediction. Bird Name Average Number Bird Size of Nests Extinction Time Buzzard Large 2.0 5.5 Quail Large 1.0 1.5 Curlew Large 2.8 3.1 Cuckoo Large 1.4 2.5 Magpie Large 4.5 10.0 Swallow Small 3.8 2.6 Robin Small 3.3 4.0 Stonechat Small 3.6 2.4 Blackbird Small 4.7 3.3 Tree-Sparrow Small 2.2 1.9