OCR Further Statistics Specimen — Question 1

Exam BoardOCR
ModuleFurther Statistics (Further Statistics)
SessionSpecimen
TopicLinear regression
TypeIdentify response/explanatory variables

1 The table below shows the typical stopping distances \(d\) metres for a particular car travelling at \(v\) miles per hour.
\(v\)203040506070
\(d\)132436527294
  1. State each of the following words that describe the variable \(v\). \section*{Independent Dependent Controlled Response}
  2. Calculate the equation of the regression line of \(d\) on \(v\).
  3. Use the equation found in part (ii) to estimate the typical stopping distance when this car is travelling at 45 miles per hour. It is given that the product moment correlation coefficient for the data is 0.990 correct to three significant figures.
  4. Explain whether your estimate found in part (iii) is reliable.