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Warm UpScatter Plots andLine of Best FitGraph each point on the samecoordinate plane.1. A (5, 20)CD2. B (20, 15)3. C (10, 40)A4. D (30, 35)BVocabularyLearn to create and interpret scatterplots.scatter plotcorrelationline of best fit1

A scatter plot shows relationshipsbetween two sets of data.Additional Example 1: Making a Scatter Plot of aData SetUse the given data to make a scatter plot ofthe weight and height of each member of abasketball team.The points on the scatter plot are(71, 170), (68, 160), (70, 175),(73, 180), and (74, 190).Try This: Example 1Use the given data to make a scatter plot ofthe weight and height of each member of asoccer team.Height (in)Weight lation describes the type of relationshipbetween two data sets. The line of best fit is theline that comes closest to all the points on ascatter plot. One way to estimate the line of bestfit is to lay a ruler’s edge over the graph andadjust it until it looks closest to all the points.170160150140The points on the scatter 130120plot are (63, 125), (67,156), (69, 175), (68, 135),and (62, 120).60 61 62 63 64 65 66 67 68 69Height2

Additional Example 2A: Identifying the Correlation ofDataDo the data sets have a positive, a negative,or no correlation?.Positivecorrelation;both data setsincreasetogether.No correlation;as one data setincreases, theotherdecreases.Negativecorrelation; asone data setincreases, theother decreases.Additional Example 2B: Identifying the Correlation ofDataA. The size of a jar of baby food and thenumber of jars of baby food a baby will eat.Negative correlation: The more food in each jar,the fewer number of jars of baby food a babywill eat.Additional Example 2C: Identifying the Correlation ofDataDo the data sets have a positive, a negative,or no correlation?.Do the data sets have a positive, a negative,or no correlation?.B. The speed of a runner and the number ofraces she wins.C. The size of a person and the number offingers he hasPositive correlation: The faster the runner, themore races she will win.No correlation: A person generally has tenfingers regardless of their size.3

Try This: Example 2ATry This: Example 2BDo the data sets have a positive, a negative,or no correlation?.Do the data sets have a positive, a negative,or no correlation?.A. The size of a car or truck and the numberof miles per gallon of gasoline it cantravel.B. Your grade point average and the numberof A’s you receive.Negative correlation: The larger the car or truck,the fewer miles per gallon of gasoline it cantravel.Try This: Example 2CDo the data sets have a positive, a negative,or no correlation?.Positive correlation: The more A’s youreceive, the higher your grade point average.Additional Example 3: Using a Scatter plot to MakePredictionsUse the data to predict how much a workerwill earn in tips in 10 hours.C. The number of telephones using the samephone number and the number of calls youreceive.No correlation: No matter how many telephonesyou have using the same telephone number, thenumber of telephone calls received will be thesame.According to the graph, aworker will earn approximately 24 in tips in 10 hours.4

Try This: Example 3HoursUse the data to predict how many circuitboards a worker will assemble in 10 hours.Hours4 8 6 9 11WorkedCircuit Board 2 7 5 8 12Assemblies14121086422 46 8 10 12 14Circuit BoardAssembliesAccording to the graph, aworker will assembleapproximately 10 circuitboards in 10 hours.5

A scatter plot shows relationships between two sets of data. Use the given data to make a scatter plot of the weight and height of each member of a basketball team. Additional Example 1: Making a Scatter Plot of a Data Set The points on the scatter plot are (