1MA0 Higher June 2013 Paper 2 Q3
3 The scatter graph shows some information about 10 cars, of the same type and make.
The graph shows the age (years) and the value (£) of each car.
The table shows the age and the value of two other cars of the same type and make.
| age (years) | 1 | 3.5 |
|---|---|---|
| value (£) | 8200 | 5000 |
(a) On the scatter graph, plot the information from the table. (1)
(b) Describe the relationship between the age and the value of the cars. (1)
A car of the same type and make is \(2\frac{1}{2}\) years old.
(c) Estimate the value of the car. (2)
| Answer | Mark | Notes |
|---|---|---|
| Points plotted at (1,8200) and (3.5,5000) | 1 | B1 for points accurately plotted ±1/2 square tolerance |
| Answer | Mark | Notes |
|---|---|---|
| ‘the older the car the lower the value’ ‘the greater the value the newer the car’ | 1 | B1 for an acceptable relationship eg. ‘the older the car the lower the value’ (accept ‘negative correlation’ but not just ‘negative’) |
| Answer | Mark | Notes |
|---|---|---|
| 5200 to 6600 | 2 | M1 for a single line segment with negative gradient that could be used as a line of best fit or a vertical line from 2.5 or a point at (2.5,\(y\)) where \(y\) is from 5200 to 6600 A1 for given answer in the range 5200 − 6600 |