Mathematics A, Further H235: Linear Regression Topical Past Paper Questions

The ages, x years, and the reaction time, t seconds, in an experiment carried out on a sample of 15 volunteers are summarised as follows. $$ n=15\quad 勁 \quad\Sigma x=762\quad 勁 \quad\Sigma t=8.7\quad 勁 \quad\Sigma x^{2}=44204\quad 勁 \quad\Sigma t^{2}=5.65\quad 勁 \quad\Sigma xt=4…

An insurance company collected data concerning the age, x years, of policy holders and the average size of claim, £y thousand. The data is summarised as follows. $$ n=32\quad\Sigma x=1340\quad\Sigma y=612\quad\Sigma x^{2}=64~282\quad\Sigma y^{2}=13~418\quad\Sigma xy=27~794 $$ (a)…

(a) Using the scatter diagram in the Printed Answer Booklet, explain what is meant by least squares in the context of a regression line of y on x. [2] (b) A set of bivariate data $(t, u)$ is summarised as follows. $$ \begin{array}{lllllll} n=5& & &\sum t=35& & &\sum u=54\\ \sum t…