# Scatter Plots

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24-Feb-2016Category

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Scatter PlotsThe scatter plot shows education and income data.a.Describe the person represented by the point with coordinates (10, 30).This person has 10 years of education and earns $30,000 each year.b.How many people have exactly 14 years of education? What are their incomes?The points (14, 50), (14, 80), and (14, 90) have education coordinate 14.The three people they represent earn $50,000, $80,000, and $90,000, respectively.Scatter PlotsUse the scatter plot below. Is there a positive correlation, a negative correlation, or no correlation between temperatures and amounts of precipitation? Explain.

The values show no relationship.There is no correlation.Problem Solving Strategy: Solve by Graphing Use the data in the table below. Suppose this year there are 16 wolves on the island. Predict how many moose are on the island.Isle Royale PopulationsWolfMoose1423242220167009008111,0621,0251,380Year198219831984198519861987WolfMoose1211151212131,6531,3971,2161,3131,6001,880Year198819891990199119921993WolfMoose1516222414251,8002,4001,200500700750Year199419951996199719981999

Step 1:Make a scatter plot by graphing the (wolf, moose) ordered pairs. Use the x-axis for wolves and the y-axis for moose.

Step 2:Sketch a trend line. The line should be as close as possible to each data point. There should be about as many points above the trend line as below it.

Problem Solving Strategy: Solve by Graphing (continued)

Look up to find the point on the trend line that corresponds to 16 wolves.

Then look across to the value on the vertical axis, which is about 1,300.

Problem Solving Strategy: Solve by Graphing (continued)Step 3:To predict the number of moose when there are 16 wolves, find 16 along the horizontal axis. There are about 1,300 moose on the island.Graph each inequality on a coordinate plane.Graphing Linear Inequalitiesa.y > 2x + 1

Step 1:Graph the boundary line.Points on the boundary line do not make y > 2x + 1 true. Use a dashed line.Scatter PlotsUse the table to make a scatter plot of the elevation and precipitation data.Atlanta, GABoston, MAChicago, ILHonolulu, HIMiami, FLPhoenix, AZPortland, MESan Diego, CAWichita, KSElevation Above Sea Level (ft)1,0502059618111,07275401,305CityMean AnnualPrecipitation (in.)51423622568441029

(continued)Graphing Linear Inequalitiesb.y 3x 2