Question

write normal equations to fit a straight line y=ax+b​

Answer 1

Answer:

$\begin{aligned}&\sum y=a \sum x+n b \\&\sum x y=a \sum x^{2}+b \sum x\end{aligned}$

Step-by-step explanation:

• The normal equation of straight line,

                     $y=ax+b$

• linear equations : $y = ax+ b$
• a: slope of the line
• b: constant ( y-intercept , where $x= 0$)
• x: independent variable
• y: dependent variable

Answer 2

Concept

Normal equations are derived by setting the partial derivatives of the sum of squared errors (least squares) to zero; they may be used to estimate the parameters of a multiple linear regression.

Given

Equation of straight line y = ax +b

Find

We are asked to write normal equations to fit a straight line y=ax + b.

Solution

By considering the given equation

y = ax +b

here a = slope of the line

and b is the y intercept

A line has slope 2 and y intercept is 3 then equation of the line is

y= 2x +3

​Hence normal equations to fit a straight line y=ax+b​ is y=2x+3.