MCQs of Curve fitting by the numerical method (Probability and Statistics - 3130006)

Showing 11 to 18 out of 18 Questions

11.

One of the normal equation for fitting a parabola is $\sum_{} {x^{2}}_{i} y_{i}$ =_______ .

(a)	$\sum_{} x_{i}^{2} y_{i} = a \sum_{} x_{i}^{2} + b \sum_{} x_{i}^{3} + c \sum_{} x_{i}^{4}$
(b)	$\sum_{} x_{i}^{2} y_{i} = \sum_{} x_{i}^{2} + \sum_{} x_{i}^{3} + \sum_{} x_{i}^{4}$
(c)	$\sum_{} x_{i}^{2} y_{i} = c \sum_{} x_{i}^{2} + b \sum_{} x_{i}^{3} + a \sum_{} x_{i}^{4}$
(d)	$\sum_{} x_{i}^{2} y_{i} = a \sum_{} x_{i} + b \sum_{} x_{i}^{2} + c \sum_{} x_{i}^{3}$

12.

Find $\sum_{} x_{i}^{2}$ for the following data.

13.

One of the normal equations for fitting straight line $y = a + bx$ is $\sum_{} y_{i} =$ __________ .

(a)	$\sum_{} y_{i} = \underset{}{a \sum} x_{i} + b \sum_{} x_{i}^{2}$
(b)	$\sum_{} y_{i} = na + b \sum_{} x_{i}$
(c)	$\sum_{} y_{i} = na \sum_{} x_{i} + b \sum_{} x_{i}^{2}$
(d)	$\sum_{} y_{i} = a \sum_{} x_{i}^{2} + b \sum_{} x_{i}^{3}$

14.

The method of _____________ is the most appropriate methodto fit a unique curve from the given data.

15.

Fit a second degree curve $y = a + bx + {cx}^{2}$ for the following data:

x	1	2	3	4	5
y	10	12	13	16	19

16.

Fit the least square straight line to the following data:

x	0	1	2	3
y	0	1	8	27

17.

The curve $y = {ax}^{2} + bx$ converted to linear form as ___________ .

18.

Following data is given for the curve $y = a_{0} + a_{1} x$ . Find the value of $a_{1}$ .

x	1	20	30	40
y	1	400	800	1300

Showing 11 to 18 out of 18 Questions