Which two points should the line of best fit go through to best represent the data in the scatterplot?

Given :   A graph with points (1, 3), (2, 7), (3, 8), (4, 11), (5, 12), (6, 13).

To find :  From Which two points the line of best fit goes through

Solution:

(3, 8) &  (5, 12) will be two points

as then line  points will be

( 1 ,  4 ) , ( 2, 6) , ( 3 , 8 ) , ( 4, 10) , (5 . 12)  & ( 6 , 14)

(1, 3)   will be below ( 1 ,  4 )

(2 , 7) will be above ( 2 , 6)

( 3 , 8 ) will be on line

(4 , 11 ) will be above ( 4 , 10)

( 5 , 12  ) will be on line

( 6 , 13)  will be below ( 6 ,  14 )

(1, 3)  & ( 6 , 13)  two points are below line

(2 , 7) & (4 , 11 )  two points above line

Hence points are Equally scattered above  & below line

Hence (3, 8) &  (5, 12) will be two points on   line of best fit

Hope it helpss !!

step by step resolutions

1) n+n+1+n+2=51

3n+3=51

3n=48

n=16

the three numbers are 16, 17 and 18.

2) x+15=4x

3x=15

x=5

radha is now 5 years old

3) the two digits are x and y.

y=3x

(10x+y)+(10y+x)=88

y=3x

11x+11y=88

y=3x

x+y=8

x+3x=8

x=2

the original number can be either 28 or 82.

4) n+(n+2)+(n+4)=48

3n+6=48

3n=42

n=14

the numbers are 14, 16 and 18.

5) y=x+3

10y+x+10x+y=143

y=x+3

11x+11y=143

y=x+3

x+y=13

x+x+3=13

2x=10

x=5

the original number can be 57 or 75.

hope this !