2. Scatter Graphs MENU Leaf Length / Width Car Age / Value Height / Maths Score Summary Which type of correlation ? Questions / Answers Main MENU

3. Menu

4. I wonder if water plant leaves grow wider as they grow longer. If I measure their lengths and then measure their widths I could then draw a Scatter Graph to see if there is a correlation between the length and the width of water plant leaves. Menu

5. L620102181214981523161725 W51591141114771117131218 L W X X X X X X X XX X X X X X The plots are in a sort of straight line ! I can therefore draw in a Line Of Best Fit. Line Of Best Fit How wide would you expect a 19 cm long leaf to be ? 15 cm How long would you expect a 10 cm wide leaf to be ? 12.8 cm Positive Correlation As one quantity increases so does the other. The line slopes from bottom left to top right. As the leaves get longer they also get wider. Menu

6. I wonder if there is a connection between the age of a car and its value. Menu

7. A151471176102 91448 V96153684935276 X X X X X X X X X X X X X X How much should an 8 year old car be worth ? £ 5100 How old should a car be when it is worth £ 7000 ? 5 years x It’s an OUTLIER. I will just ignore it ! Negative Correlation As one quantity increases the other decreases. The line slopes from top left bottom right. As the Age increases, the Value Decreases. Menu

8. I think that tall people are better at Maths than short people ! No way ! Menu

9. %10309050307060502085553540 H180160170 140145150175140155150 145 X X XX X X X X X X XX X I don’t seem to be able to draw in a Line of Best Fit ! That is because there is no correlation ! Menu

10. SUMMARY X X X X X X X X X X X X X X X X X X X X X X X X X X X X Strong Positive Correlation Strong Negative Correlation No Correlation x x x x x x x x x x x x x x x x x x x Weak Positive CorrelationWeak Negative Correlation Ignore Outliers xx Menu

11. Which type of Correlation ? Height Weight Shot Put Distance Time for 100 m Score in Maths Exam Score in Art Exam Cigarettes Smoked per Day Life Expectancy Maths Exam Mark Hours Spent Revising Hours Spent Exercising Weight x 1) 2) 3) 4) 5)6) x x x x x Positive Correlation x x x x x x x x x No Correlation x x x x x x Negative Correlation x x x x x x Negative Correlation x x x x x x x Positive Correlation x x x x x x x Positive Correlation Menu

12. Plot the following data on Scatter Graphs and use their Lines Of Best Fit to answer the questions. Maths % 90457224558342123666822530 Science % 8552683058873584170743041 1) Thirteen students recorded their Maths and Science scores as follows : a)What would you expect a student who got 77 % in Maths to get in Science ? b)What would you expect a student who got 50 % in Science to get in Maths ? c)Describe the type of Correlation. 2) Twelve pupils had their Maths results recorded against the number of days absent from school : Maths % 602090603080339648501062 Days absent 102510232510304025203516 a)How many days absent would you expect a pupil to have had who scored 40 % in their Maths exam ? b)What Maths score would you predict for a pupil who has had 15 days of absence ? c)Describe the Correlation. Answer Menu

13. Maths % Science % 0 10 20 30 40 50 60 70 80 90 100 90 80 70 60 50 40 30 20 10 0 x x x x x x x x x x x x x a) 77 % in Maths 77 % in Science b) 50 % in Science 47 % in Maths. c) Positive Correlation. QuestionsMenu

14. 0 10 20 30 40 50 60 70 80 90 100 Maths % Days Absent x x x x x x x x x x x x 40 35 30 25 20 15 10 5 0 a) 40 % in Maths 24 days absent. b) 15 days absent 63 % in Maths. c) Negative Correlation. QuestionsMenu

15. End of Scatter Graphs Presentation. Return to previous slide.