The normal equation of line of best fit is

\sum y = m \sum x + c

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\sum y = m \sum x - c

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\sum x y = c \sum x + m \sum x^{2}

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\sum x = c \sum x + m \sum x^{2}

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Solution

The correct option is B $\sum x y = c \sum x + m \sum x^{2}$
The normal equation for line of best fit is
$\sum x y = c \sum x + m \sum x^{2}$
$y -$ Regression or Dependent Variable or Explained Variable
$x -$ Independent Variable or Predictor or Explanator
The two constants $c$ and $m$ are regression parameters.

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Similar questions

Q. The line

y = m x + c

is a normal to

\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1

then

\frac{a^{2}}{m^{2}} - b^{2} =

Q. Find the area of the triangle formed by the straight lines whose equations are

y = m_{1} x + c_{1}

y = m_{2} x + c_{2}

, and

y = m_{3} x + c_{3}

If three lines whose equations are $y = m_{1} x + c_{1}, y = m_{2} x + c_{2}$ and $y = m_{3} x + c_{3}$ are concurrent, then show that $m_{1} (c - 2 - c_{3}) + m_{2} (c_{3} - c_{1} + m_{3} (c_{1} - c_{2}) = 0$ .

Q. Given data

x	1	3	4	6
y	1	2	4	4

Find the value of

m

and

c

for the equations of the lines of best fit for the regression analysis between

x a n d y

Find the conditions that the straight lines $y = m_{1} x + c_{1}, y = m_{2} x + c_{2}$ and $y = m_{3} x + c_{3}$ may meet in a point.

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The normal equation of line of best fit is

The correct option is B ∑xy=c∑x+m∑x2The normal equation for line of best fit is∑xy=c∑x+m∑x2y– Regression or Dependent Variable or Explained Variablex– Independent Variable or Predictor or ExplanatorThe two constants c and m are regression parameters.