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a) Given the demand function for computers to be P = 2400 – 0.4Q
i. Determine the coefficient of point elasticity of demand when P = 1800, P = 1200,
and P = 600 and give an interpretation of each result. [7]
ii. If the price of computers increases by 12%, calculate the percentage change in
quantity demanded at P = 1800, P = 1200, and P = 600. [12]
(5,0); 2y² =2y³
For a given set of constants α, β, and γ the functions
ƒ (x, y) =
7𝑥
𝛼𝑦
2𝑥𝛽
and ġ (x, y) =
3𝑥
𝛽−𝛾
𝑥𝛽−𝑦2
are homogeneous of degree 2 and 1 respectively. Determine the values for α, β, and γ.
An open economy is in equilibrium when
Y = C + I +G + X − M
where
Y =
national
income,
C =
consumption,
I =
investment,
G =
government expenditure,
X =
exports,
M =
imports,
Determine the equilibrium level of income given that
C = .0 5Y + 70 I = 65 G =120 X =120 M = .0 3Y + 40
John has 50 comic books and he increases his collection by 3 books per week
a women's resource center which provides housing for women and children who comes from abusive homes is undertaking a grass roots fund raising effort wihin the community
QUESTION 1
Differentiate between multiple regression analysis and multiple discriminant analysis. QUESTION 2
What is the importance of examining the assumptions of linearity and homoscedacity when conducting regression analysis and what are the potential remedies for violations of each?
QUESTION 3
What is multicollinearity?
QUESTION 4
How does sample size impact statistical power and generalizability?
QUESTION 5
What are the three primary issues a statistical analyst should consider when selecting applications of multiple regression?
QUESTION 6
Briefly describe six-stage model-building process
QUESTION 7
Justify the use of a split-sample approach for validating data in multiple discriminant analysis.
QUESTION 8
What are the assumptions of multiple discriminant analysis?
QUESTION 9
How does a two-group discriminant analysis differ from a three-group analysis? QUESTION 10
Why should you stretch the loadings and centroid data in plotting a discriminant analysis solution?
The table below shows the marks scored by
229
students in a statistics class test.
Marks
10 20 20 30 30 40 40 50 50 60 60 70 70 80
Frequency
12 30 x 65 y 25 17
Given that the median mark is
46
, determine the:
(i) Values of
x
and
y
; [5 Marks]
(ii) Mode; [2 Marks]
(iii) Mean absolute deviation; [4 Marks]
(iv) Quartile deviation. [4 Marks]
A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose length is 1 cm more than its width, find the area of the rectangle.
The following are weights in kilograms of
40
students recorded.
90.0 119.0 97.5 78.3 76.5
86.5 109.3 102.3 89.6 79.0
65.7 87.5 95.6 85.3 96.5
70.3 75.7 83.5 75.6 107.3
49.8 56.3 69.5 86.5 63.2
53.7 75.8 68.3 63.2 68.9
53.7 75.8 68.2 80.6 81.3
54.0 110.5 86.2 80.6 81.3
45.6 100.2 75.6 51.2 93.0
(i) Determine the suitable size of class interval. [1 Mark]
(ii) Construct a frequency distribution table, show a column of tally, midpoints, lower
and upper boundary for each class. [6 Marks]
(iii) Construct a frequency polygon superimposed on a histogram and comment on the
weight of the students. [4 Marks]
(iv) Construct a cumulative frequency curve and use it to determine median weight.
[3 Marks]
(v) Determine the mean and standard deviation using the frequency distribution in (ii)
above. [6 Marks]
