North Maharashtra University 2008 B.Sc Mathematics S.YBSc - MTH – 222 (B) (Numerical Analysis) - Question Paper

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NORTH MAHARASHTRA UNIVERSITY, JALGAON

Class : S.Y. B. Sc. Subject : Mathematics
Paper : MTH – 222 (B) (Numerical Analysis)

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1 : ques. of two marks
1) State normal equations for fitting a straight line y = ax + b.
2) State normal equations for fitting a 2nd degree polynomial y = a + bx
+ cx2.
3) How we decrease the issue of fitting the curve y = aebx for finding a lowest
square straight line through the provided data.
4) How we decrease the issue of fitting a power function y = axc for finding
a lowest square straight line through the provided data.
5) What is meant by curve fitting? Which method is most useful for this?
6) What is the use of the method of lowest squares?
7) obtain the normal equations for fitting the curve y = axc.
8) obtain the normal equations for fitting the curve y = aebx.
12
9) For the subsequent data, obtain S 2
xi , S xi , S yi , S i i x y .
x 0 one 2
y one six 17
10) For data provided beneath obtain S i
2
i x y
x 0 one two three 4
y one 0 three 10 21
11) For the subsequent data , obtain S i logy :
x one 1.2 1.4 1.6
y 40.17 73.196 133.372 243.02
12) If a = logc and normal equations of y = cedx are 10a + 30b = 30.7134 and
4a + 10b = 13.1991 then obtain c.
13) For the subsequent data obtain the normal equations for fitting a straight line
y = a + bx.
x one 2
y five 8
14) Fit a 2nd degree parabola y = a + bx + cx2 to the data
x one 2
y two 5
15) obtain the normal formula for fitting the curve y = a + bx + cx2 , where
provided data is as
x one 2
y 0 3
16) Fit a straight line y = ax + b to the data
x 0 1
y one 0
17) Fit a straight line y = ax + b to the data
13
x 0 1
y two 5
18) If the normal equations for fitting a straight line y = ax + b are 26 = 4a +
6b and 54 = 6a + 4b then fit the above straight line.
19) Fit the 2nd degree formula y = a + bx + cx2 if their normal equations
are 35 = 5a + 10b + 30c , 120 = 10a + 30b + 100c, 438 = 30a + 100b +
354c.
20) Fit the parabola y = a + bx + cx2 if their normal equations are 9a + 60c =
11, 60b = 51 and 60a + 708c = –9.
21) Fit the curve y = aebx if their normal equations are 13.1991 = 4a + 10b and
30.7134 = 10a + 30b.
2 : Fill in the blanks/ Multiple option ques. of 1
marks
1) The issue of fitting a power function y = axc is nothing but the
issue of fitting a - - - - by - - - - method.
2) The issue of fitting a curve y = aebx is the issue of fitting the
- - - - by - - - - method.
3) The straight line y = a +bx is fitted to the data by - - - - method and

Earning:   Approval pending.