The scatter diagram shows the age and the value of each of eight cars of the same model. Write down the type of correlation shown by the scatter diagram.

Assessment: Mathematics 0580 | Paper 3 Mock 01 | Calculator (Core) Subject: Mathematics - 0580

Question 1 Report

The scatter diagram shows the age and the value of each of eight cars of the same model.

Write down the type of correlation shown by the scatter diagram.

Answer Details

This question tests reading the type of correlation from a scatter diagram.

Correlation describes how two quantities change together. If the points fall as you move to the right, so that a larger value of one quantity goes with a smaller value of the other, the correlation is negative. If the points rise to the right it is positive, and if there is no clear pattern there is no correlation.

Here the horizontal axis is the age of the car and the vertical axis is its value. Older cars have had more use and wear, so they sell for less, and the points slope downwards from left to right. The correlation is therefore negative [B1]

Notice that "negative" describes the direction of the trend, not the values themselves; the car values are all positive numbers. Also, correlation here shows a strong association between age and value, but you should describe the trend rather than claim that age is the only cause of the fall in price.

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