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The table shows the ages and values of 11 cars of the same model - OCR - GCSE Maths - Question 5 - 2019 - Paper 5

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The table shows the ages and values of 11 cars of the same model. | Age (years) | 4 | 7 | 11 | 1 | 10 | 4 | 3 | 8 | 12 | |-------------|----|----|----|----|--... show full transcript

Worked Solution & Example Answer:The table shows the ages and values of 11 cars of the same model - OCR - GCSE Maths - Question 5 - 2019 - Paper 5

Step 1

Plot the points for the remaining 4 cars.

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Answer

To plot the points for the remaining 4 cars, use the ages and values for the last four cars given in the table. The points to be plotted are:

  • Age: 3 years, Value: 8.0 (plot at (3, 8.0))
  • Age: 8 years, Value: 5.6 (plot at (8, 5.6))
  • Age: 12 years, Value: 0.4 (plot at (12, 0.4))

Mark these points on the scatter diagram to complete it.

Step 2

Describe the type and strength of the correlation shown in the completed scatter diagram.

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Answer

The completed scatter diagram shows a negative correlation between the age of the cars and their value. As the age of the car increases, the value tends to decrease. The correlation appears to be strong, as the points form a clear downward trend without much scatter around the trend line.

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