KS3 Scatter Diagrams. Levels 6 to 7.

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1 KS3 Scatter Diagrams. Levels 6 to Steve records the time taken and the average speed for several different journeys. This information is shown on the scatter graph. 5 4 Average speed (mph) Time taken (hours) Draw a line of best fit on the scatter graph. Describe the relationship between the time taken and the average speed

2 2. The scatter graph shows the number of ice creams sold plotted against the midday temperature Number of ice creams sold Midday temperature (ºF) Draw a line of best fit on the scatter graph. Describe the relationship between the number of ice creams sold and the midday temperature.

3 3. Some runners recorded their resting pulse rates and miles run per week. Resting pulse rate (beats per minute) Miles run per week How many runners have a resting pulse rate of 57 beats per minute? Answer... Draw a line of best fit. (c) (d) Predict the resting pulse rate of a runner who runs 4 miles per week. Answer... beats per minute Describe the relationship between the resting pulse rate and miles run per week. (Total 4 marks)

4 4. The scatter graph shows the number of cats and the number of dogs in each of six villages. Number of cats Number of dogs Ayville has the lowest number of cats of the six villages. Use the graph to find the number of cats in Ayville. Answer The point plotted for Beeville does not fit the general trend. Circle the point for Beeville on the scatter graph.

5 5. The number of hours of sunshine and the maximum temperature at a seaside resort were measured on seven days in June. Hours of sunshine Temperature ( C) Plot this data as a scatter graph Temperature ( C) Hours of sunshine (2) Draw a line of best fit on your scatter graph. (c) Use your line of best fit to estimate the maximum temperature on a day in June when there are 7 hours of sunshine. Answer.. C

6 (d) Describe the relationship shown by your scatter graph. (e) Explain why this data may not be representative of the maximum temperatures in June at this seaside resort. (Total 6 marks) 6. Eight teenagers took part in a general knowledge quiz and a pop-music quiz. The scatter graph shows their scores Score in pop-music 8 quiz Score in general knowledge quiz Draw a line of best fit on the scatter graph. Describe the relationship shown in the scatter graph.

7 7. The table shows the school year and the reaction time of eight people who took part in the same test. School year Reaction time (seconds) Draw a scatter graph of these data. 6 5 Reaction time (seconds) (c) School year Draw a line of best fit on your scatter graph. Describe the relationship shown by your scatter graph. (2)

8 (d) Use your line of best fit to estimate the reaction time of a person in school year 12. Answer... seconds (Total 5 marks) 8. Six pupils revise for a test. The scatter graph shows the time each pupil spent revising and their mark in the test Mark Time (hours) State the type of correlation shown by the graph. Answer... Explain why it would not be sensible to use the line of best fit to estimate the mark of a pupil who revised for 15 hours.

9 9. The value of six houses in 2 is compared to the value of similar houses in 24. Here are the results. House value in 2 (thousands of pounds) House value in 24 (thousands of pounds) Draw a scatter graph of these results House value in 24 (thousands of pounds) House value in 2 (thousands of pounds) (2) Describe the relationship shown in the scatter graph. (c) In 2 a house was valued at 8. Estimate the value of a similar house in 24. Answer... (2) (Total 5 marks)

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