Page 23 - Math SL HB Sem 3
P. 23
10 people of different ages were selected to take a test. The table below shows their ages
and results:
B C D E F G H I J
Ages(r)/ years 11 16 '18 20 21 ZJ z:) 26 31
Scores(y) bU 43 55 68 70 /t) 65 48 80 57
a) Given S.y 1,1.i9, S?19'.!14!e, q9II9C!!9_twg
=
decimal places, the product moment correlation coefficient. ' . Sxy- lxv _rxrv
nTln
12947 206 /622\
b) A person claimed that'a younger person has more advantages - 10 10 \10,/
in doing well in the test. 'Use your result in part (a) to comment = 13.38
on the claim.
\. solution:
For each of the scatter diagrams shown below, write down which of the following values:
0.95, 0.75, 0.34, -0.34, -1.1 is the most appropriate for the correlation coefficients and
explain your choice.
hs
x I
x x
r
xx x x x ,t' x
x
x x t x t
Graph I Craph 2
\. solution:
28
