Edexcel S1 2009 June — Question 5

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2009
SessionJune
TopicLinear regression
TypeCalculate y on x from raw data table

5. The weight, \(w\) grams, and the length, \(l \mathrm {~mm}\), of 10 randomly selected newborn turtles are given in the table below.
\(l\)49.052.053.054.554.153.450.051.649.551.2
\(w\)29323439383530312930
$$\text { (You may use } \mathrm { S } _ { l l } = 33.381 \quad \mathrm {~S} _ { w l } = 59.99 \quad \mathrm {~S} _ { w w } = 120.1 \text { ) }$$
  1. Find the equation of the regression line of \(w\) on \(l\) in the form \(w = a + b l\).
  2. Use your regression line to estimate the weight of a newborn turtle of length 60 mm .
  3. Comment on the reliability of your estimate giving a reason for your answer.