Edexcel S1 — Question 6

Exam BoardEdexcel
ModuleS1 (Statistics 1)
TopicLinear regression
TypeConvert regression equation between coded and original

6. In a survey for a computer magazine, the times \(t\) seconds taken by eight laser printers to print a page of text were compared with the prices \(\pounds p\) of the printers. The data were coded using the equations \(x = t - 10\) and \(y = p - 150\), and it was found that $$\sum x = 42 \cdot 4 , \quad \sum x ^ { 2 } = 314 \cdot 5 , \quad \sum y = 560 , \quad \sum y ^ { 2 } = 60600 , \quad \sum x y = 1592 .$$
  1. Find the mean time and the mean price for the eight printers.
  2. Find the variance of the times.
  3. Find the equation of the regression line of \(p\) on \(t\).
  4. Estimate the price of a printer which takes 11.3 seconds to print the page.