anonymous
  • anonymous
can someone please help me with finding the equation of a best fit line in standard form? i think i have the concept but im sure im doing something wrong
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Xanthe
  • Xanthe
QN?
anonymous
  • anonymous
heres the questions.....For problems 1 and 2, graph the data points. Draw the line of best fit and, using complete sentences, explain how you found it in 3-4 sentences. Write the equation for the line of best fit in standard form. (10, 150) (20, 275) (30, 340) (40, 400) (50, 475) Title: Intersection Cars Horizontal axis: Minutes elapsed Vertical axis: Total cars passing through IM currently working out number one and i have worked it out but believe i have error ed
Xanthe
  • Xanthe
Have u drawn the graph?

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Xanthe
  • Xanthe
Use the equation y=mx+c
anonymous
  • anonymous
yes i have and i see that the points i would have to use are (10, 150) and (50, 475)
anonymous
  • anonymous
the equation im using is m = y2-y1 over x2-x1 to find the slope
anonymous
  • anonymous
then the next equation im using is y - y1 = m (x - x1)
Xanthe
  • Xanthe
Find m and c where m is the gradient and c is the y-intercept.The gradient of the points should be as far apart as possible and it shd be recommended to use the points from the best-fit line grapg that youve drawn and not the points given ie.:(10, 150) and (50, 475)
anonymous
  • anonymous
for m I get 8.1 which im sure is wrong
Xanthe
  • Xanthe
|dw:1370539727720:dw|
anonymous
  • anonymous
yeah when i did that i got 8.1 and i dont think thats right
Xanthe
  • Xanthe
Y shd it be wrong? Its correct bro! If u calculated the gradient using the points uve mentioned, youll get m=8.125 but thats whats been given in the question.What u can do is take any two points as far apart as possible in the graph that uve drawn and if the value of m turns out to be close to 8,then presto! Its right!^^
anonymous
  • anonymous
ok well the second part of the equations is where it gets really tricky...can i show you what i have?
Xanthe
  • Xanthe
Nw u jus have to find c,the point/s where your graph intersects the y axis.The substitute both m and c in the equation y=mx+c and thats ur equation:D
anonymous
  • anonymous
wel for teh answer i have 8.1x - y = 79 and im sure thats wrong
Xanthe
  • Xanthe
or sub it in to the std equation uve given: y - y1 = m (x - x1)
anonymous
  • anonymous
yeah i got the answer above can you check it?
Xanthe
  • Xanthe
Since u found m to be 8.,substitute the values n rearranfe them |dw:1370540333502:dw|
Xanthe
  • Xanthe
*rearrange
anonymous
  • anonymous
im confused....so what part of my answer is wrong
Xanthe
  • Xanthe
Since you took the two points to be (10, 150) and (50, 475), (x1,y1) can be either of them. Eg for (10,150),|dw:1370540819999:dw|
Xanthe
  • Xanthe
And for (50,475)|dw:1370540955186:dw|
Xanthe
  • Xanthe
*Or
Xanthe
  • Xanthe
How did you get 79?
anonymous
  • anonymous
i did it like this y - y1 = m(x - x1) y-150 = 8.1 (x - 10) y-150 = 8.1x - 82 -8.1x + y = -81 + 150 - 8.1x +y = 79
anonymous
  • anonymous
8.1x - y = 79 fir the last part
Xanthe
  • Xanthe
2nd step onwards : |dw:1370541597740:dw|
Xanthe
  • Xanthe
-81+150 is the same as 150-81=69
anonymous
  • anonymous
ahhhh i think i actually got it now!
Xanthe
  • Xanthe
Really?U sure?
anonymous
  • anonymous
yeah i was doing everything right up until i got to the middle of the second equation...i dont really know why i did that in the middle but i see why it is what it is now
Xanthe
  • Xanthe
lol. Just dont get too mixed up with the signs. Practice makes perfect!^^

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