PSYC210: Assignment 1

1




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Date

, 2


1. Given Xi = {6, 16, 8, 18, 19, 1, 11, 18} and Yi = {4, 1, 14, 1, 7, 4, -7, 12}, calculate

a) Σ (Xi) = (6+16+8+18+19+1+11+18) = 97

b) Σ (Yi) = (4+1+14+1+7+4-7+12) = 36

c) [Σ (Xi)] 2 =

Σ (Xi) = 97 so (97*97) = 9409

d) [Σ (Yi)] 2 =

Σ (Yi) = 36 so (36*36) = 1296

e) Σ (Xi − Yi) =

For example for the first elements (Xi − Yi) = (6-4) = 2

We get a set of data which is (2, 15, -6, 17, 12, -3, 18, and 6)

Adding individual values in that set we get 61

f) Σ (XiYi) =

We get this by multiplying individual element on x to individual element

of y. for instance the first elements we get (6*4) = 24.

Doing so for all the elements we have set of elements which are (24, 16,

112, 18, 133, 4, -77, 216, 446) adding elements in that set we have a total

of 446

g) Σ (Xi) = (6+16+8+18+19+1+11+18) = 97

h) Σ (Yi) = (4+1+14+1+7+4-7+12) = 36

i) [Σ (Xi − Yi)] 2=

Under this we subtract (Xi - Yi) then we find squares of those individual

elements. For instance for the first elements (6-4) = 2 then squaring we get

4 that is 2*2. Doing that for all elements we have a set of elements of