contestada

The two representative points for the first half of a data in a data set are (1,10) and (8,2). Create a data set with at least eight points that fits these representative points and find the line of best fit for the data.

Respuesta :

Answer:

line : 8x+7y=78.

points: (0 , 78/7) ,

(78/8 , 0) ,

(2 , 62/7) ,etc.

Step-by-step explanation:

  • we have two points. so, we can find the equation of line passing through these 2 points
  • the equation of a line passing through the two points P(a,b) and Q(c,d)

is : [tex]y-b=(\frac{d-b}{c-a} )*(x-a)\\[/tex]

  • here, the equation of line passing through the given two points is

[tex]y-10=(\frac{2-10}{8-1} )*(x-1)\\[tex]y-10=(\frac{-8}{7} )*(x-1)[/tex]

  • multiplying both sides by 7,

7y-70=-8x+8\\8x+7y=78[/tex]

  • therefore, the line of best fit for the data is 8x+7y=78.
  • now make 8 points which satisfy above line equation

( for easier way fix some value for x and substitute it in the above line equation then find corresponding y value. these x & y values will make a point. for more points , keep changing the values of x and find corresponding y values)

  • (0 , 78/7) ,

(78/8 , 0) ,

(2 , 62/7) ,etc.

Otras preguntas