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Handling data: scattergraphs

         BTEOTSSSBAT
  Draw and interpret scattergraphs
Correlation

There are three types of correlation: positive, zero and negative.




      Positive                     Zero                         Negative
Strong, moderate and weak correlation
The correlation can also be strong, moderate or weak.
The diagrams below give examples of each for a negative correlation:




 Strong                    Moderate                       Weak
Example
A class sat two maths tests on one algebra and another on handling data.
The results are shown below: Algebra Handling
                                                data
                                    67          52
                                    76          56
                                    78          72
                                    93          84
                                    65          43
                                    61          78
                                    56          67
                                    38          34
                                    54          62
                                    72          77
                                    84          84

     To draw the line of best fit we must first plot
     the data on a scattergraph and then draw
     the line of best fit by eye.
Which is the harder paper?


                100
                 90
Algebra score    80
                 70
                 60
                 50
                 40
                 30
                 20
                 10
                  0
                      0   20        40       60        80         100




                                                            Handling
  If someone scores 80 on the
                                                            data score
  handling data how many marks
  would they get on the algebra
  paper?
Now try these
The scatter graph shows the height and mass of students.
Draw a line of best fit on the graph.
Use the line of best fit to estimate the height of someone who
has a mass of 60 kg.

                  80
     mass/kg
                  70



                  60



                  50



                  40
                       140   145   150   155   160   165   170   175     180

                                                            height/ cm
What’s going on here? Do lemons cause accidents?
Handling data scattergraph

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Handling data scattergraph

  • 1. Handling data: scattergraphs BTEOTSSSBAT Draw and interpret scattergraphs
  • 2.
  • 3. Correlation There are three types of correlation: positive, zero and negative. Positive Zero Negative
  • 4. Strong, moderate and weak correlation The correlation can also be strong, moderate or weak. The diagrams below give examples of each for a negative correlation: Strong Moderate Weak
  • 5. Example A class sat two maths tests on one algebra and another on handling data. The results are shown below: Algebra Handling data 67 52 76 56 78 72 93 84 65 43 61 78 56 67 38 34 54 62 72 77 84 84 To draw the line of best fit we must first plot the data on a scattergraph and then draw the line of best fit by eye.
  • 6. Which is the harder paper? 100 90 Algebra score 80 70 60 50 40 30 20 10 0 0 20 40 60 80 100 Handling If someone scores 80 on the data score handling data how many marks would they get on the algebra paper?
  • 7. Now try these The scatter graph shows the height and mass of students. Draw a line of best fit on the graph. Use the line of best fit to estimate the height of someone who has a mass of 60 kg. 80 mass/kg 70 60 50 40 140 145 150 155 160 165 170 175 180 height/ cm
  • 8. What’s going on here? Do lemons cause accidents?