Cda Equations

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Computing and Data Analysis EC125 - Assignment 1 Question 1 (a)

0 if individual is male xi =  1 if individual is female (b)

1 if in quarter j yt = α + β1 x1 t + β2 x1 t− 1 +∑ δj Qjt + ε,t where Qjt = otherwise j =1 0 3

(c)

 1   ω   n− 2 ω  ω n −1 

ω 1 O L L

ω2 ω O ω ω2

     ω   1 

ω n−2 ω

n− 1

L L O 1

ω

(d) 2 ln ( Poli ) = 32.45 + 0.218agei −0.0015age +3.674male i +2.139 ln(inc i ) 0.859 − Degree i e +i i

(0.064)

(0.0009)

(0.991)

(0. 873)

(0.345)

where: Pol = Index of political persuasion where 0 is most left wing and 100 most right wing, age = Age of individual male = 1 if male, 0 if female, inc = Gross annual income in £000s, Degree = 1 if holds at least a first degree, 0 otherwise.

(e)

E ( X + Y ) = ∑ ∑ ( x + y) p( x, y) = ∑ ∑xp( x, y) x

y

x

y

+ ∑ ∑yp( x, y) x

y

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∑ x ∑ p( x, y) + ∑ y ∑ p( x, y) = ∑ xp( x) + ∑ yp( y) = E ( X ) + E (Y ) x

y 14 2 43 p(x)

y

x 14 2 43

x

y

p( y)

(f) max U ( x1, x 2,..., x n) s.t. x1,..., xn

n

∑p x i =1

i

i

≤M ; x i ≥0 ( i =1, 2,..., n)

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Figure 1 - Efficient study time allocation Question 2 (a)

mpc

(b)

mpc t

t