Mth302 Assignment No. 2 solution
Saturday, January 15, 2011 Posted In Mth Edit ThisAssignment # 2
MTH302 (Fall 2010)
Total marks: 10
Lecture # 22 to 33
Due date: January 17, 2011
MTH302 (Fall 2010)
Total marks: 10
Lecture # 22 to 33
Due date: January 17, 2011
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• There are 5 questions in the assignment but only one question will be graded.
Question 1: (Non-graded)
Find a linear regression line y = ax + b (where a is the slope and b is the y-intercept)
for values of x and y given below.
y x
7 3
10 5
11 7
15 9
Question 2: (Non-graded)
Find Quartile Deviation of the following data.
1,2,8,7,10,11,15,20,18,25
Question 3: (Graded) Marks 10
The table below shows the demand for a particular item in a shop for the last nine months.
Month Demand
1 10
2 12
3 13
4 17
5 15
6 19
7 20
8 21
9 20
Calculate a three month moving average. What would be your forecast for the demand in month ten?
Question 4: (Non-graded)
Calculate the coefficient of variation for data given below.
10, 12, 14, 16, 18, 20
Question 5: (Non-graded)
Calculate the mean, median, mode and range of the data given below.
0, 1, 2, 5, 9, 8, 3, 2, 6
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SOLUTION:
Question : 1
Preferred stocks 50,000 . Rs.100 par value 5,000,000
Common stock 700,000 . Rs. 1 700,000
Additional Paid in Capital Common stock
700,000 . Rs. 14 9,800,000
Retained Earning 5,450,000
Total equity 20,950,000
2004 to 2008
Working: div common stock: 700,000 x .60= 420,000
= 420,000 x 5 = 2,100,000
Div preferred stock: 9x50,000 = 450,000
= 450,000 x 5 = 2,250,000
Total Div = 2,100,000+2,250,000=4,350,000
Retained earnings up to 2008 = 8,750,000-4,350,000=4,400,000
Preferred stocks 50,000 . Rs.100 par value 5,000,000
Common stock 700,000 . Rs. 1 700,000
Additional Paid in Capital Common stock
700,000 . Rs. 14 9,800,000
Retained Earning 5,450,000
Total equity 20,950,000
2004 to 2008
Working: div common stock: 700,000 x .60= 420,000
= 420,000 x 5 = 2,100,000
Div preferred stock: 9x50,000 = 450,000
= 450,000 x 5 = 2,250,000
Total Div = 2,100,000+2,250,000=4,350,000
Retained earnings up to 2008 = 8,750,000-4,350,000=4,400,000
2009
Div preferred stock: 9x50,000 = 450,000
Retained earnging upto 2009 = 1,500,000 – 450,000 = 1,050,000
Net income 2009 = 1,050,000+4,400,000=5450,000
...
Question 3: (Graded) Marks 10
The table below shows the demand for a particular item in a shop for the last nine months.
Month Demand
1 10
2 12
3 13
4 17
5 15
6 19
7 20
8 21
9 20
[b]Calculate a three month moving average. What would be your forecast for the demand in month ten?
Solution
The three month moving average for months 3 to 9 is given by:
m3 = (10 + 12 + 13)/3 = 11.67
m4 = (12 + 13 + 17)/3 = 14.00
m5 = (13 + 17 + 15)/3 = 15.00
m6 = (17 + 15 + 19)/3 = 17.00
m7 = (15 + 19 + 20)/3 = 18.00
m8 = (19 + 20 + 21)/3 = 20.00
m9 = (20 + 21 + 20)/3 = 20.33
The forecast for month 10 is just the moving average for the month before that i.e. the moving average for month 9 = m9 = 20.33.
The table below shows the demand for a particular item in a shop for the last nine months.
Month Demand
1 10
2 12
3 13
4 17
5 15
6 19
7 20
8 21
9 20
[b]Calculate a three month moving average. What would be your forecast for the demand in month ten?
Solution
The three month moving average for months 3 to 9 is given by:
m3 = (10 + 12 + 13)/3 = 11.67
m4 = (12 + 13 + 17)/3 = 14.00
m5 = (13 + 17 + 15)/3 = 15.00
m6 = (17 + 15 + 19)/3 = 17.00
m7 = (15 + 19 + 20)/3 = 18.00
m8 = (19 + 20 + 21)/3 = 20.00
m9 = (20 + 21 + 20)/3 = 20.33
The forecast for month 10 is just the moving average for the month before that i.e. the moving average for month 9 = m9 = 20.33.
Hence (as we cannot have fractional demand) the forecast for month 10 is 20.
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