Find the equation of the line of best fit for the points (-3,-40) (1,12) (5,72) and (7, 137)

A.
y = 3x + 17

B.
y = 17x + 3

C.
y = 3x + 1

D.
y = x + 3

Respuesta :

Try this option:

the best one is B. y=17x+3

P.S. it is possible to check, if to substitute the coordinates of given points (for example, (-3;-40), result is (-3;-48))

Answer:

B.  y = 17x + 3

Step-by-step explanation:

Here, the given points,

(-3,-40) (1,12) (5,72) and (7, 137),

Since, the equation of a line is,

y = ax+ b

Where,

[tex]a=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^2)-(\sum x)^2}[/tex]

[tex]b= \frac{(\sum y)(\sum x^2)-(\sum x)(\sum xy)}{n(\sum x^2)-(\sum x)^2}[/tex]

By the graphing regression tool,

We get,

a = 16.9237 ≈ 17,

b = 2.94068 ≈ 3

Hence, the line of best fit would be,

[tex]y=17x+3[/tex]

OPTION B is correct.

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