Complete the regularization of the following primal problem
Min Z = 15×1 + 15×2
s.t 3×1 + 2×2 > 2
7×1 + 2×2 = 6
5×1 + 7×2 < 4
x1 , x2 > 0
The following sample observations were randomly selected
X 4 5 3 6 10
Y 4 6 5 7 7
a) Determine the correlation coefficient and interpret the
relationship between X and Y.
b) Determine the regression equation
c) Determine the value of when X is 7.
d) State two uses of goodness-of-fit test
State one use for each of the following
i. The F distribution
ii. A one-way ANOVA
State three assumptions of ANOVA
State one use for each of the following
i. The F distribution
ii. A one-way ANOVA
Briefly outline the steps involved in hypothesis testing
ii. Use a table to illustrate how Type I and Type II error can occur
The following observations are arranged in ascending order. The median of the data is 25 find the value of x.
17, x, 24, x + 7, 35, 36, 46
Find the median of the following data.
(a) 27, 39, 49, 20, 21, 28, 38
(b) 10, 19, 54, 80, 15, 16
The number of rupee notes of different denominations are given below in the table.
| Denominations (Rs) | 10 | 20 | 5 | 50 | 100 |
| Number of Notes | 40 | 30 | 10 | 25 | 20 |
Find the mode of the above data.
he marks obtained by 40 students out of 50 in a class are given below in the table.
| Marks (in $) | 42 | 36 | 30 | 45 | 50 |
| Number of Students | 7 | 10 | 13 | 8 | 2 |
Find the mode of the above data.
