The table below shows the typical stopping distances \(d\) metres for a particular car travelling at \(v\) miles per hour.
| \(v\) | 20 | 30 | 40 | 50 | 60 | 70 |
| \(d\) | 13 | 24 | 36 | 52 | 72 | 94 |
- State each of the following words that describe the variable \(v\).
Independent \quad Dependent \quad Controlled \quad Response [1]
- Calculate the equation of the regression line of \(d\) on \(v\). [2]
- Use the equation found in part (ii) to estimate the typical stopping distance when this car is travelling at 45 miles per hour. [1]
It is given that the product moment correlation coefficient for the data is 0.990 correct to three significant figures.
- Explain whether your estimate found in part (iii) is reliable. [2]