anonymous
  • anonymous
What is the equation of this line of best fit in slope-intercept form?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Dan drew the line of best fit on the scatter plot shown below:
Michele_Laino
  • Michele_Laino
here we have to apply the least square method, in order to get the right equation for constants A and B, such that: y=Ax+B
Michele_Laino
  • Michele_Laino
equations*

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anonymous
  • anonymous
Since you already have the line of best fit you first need to understand the concept of slope-intercept form which is: y = mx + b I'd first calculate the y-intercept then slope.
anonymous
  • anonymous
so then Its either y = 3x + 5/6 or y = 3x + 6/5
anonymous
  • anonymous
You're mixing the y-intercept and slope up… the y-intercept is the point of the line where x = 0. That would make (0, 3) the y-intercept.
anonymous
  • anonymous
As for the slope, try again.. you understand the basic concept.
anonymous
  • anonymous
The y-intercept is where the point and line meets?
Michele_Laino
  • Michele_Laino
here are the formulas for the coefficients A, and B: \[\Large \left\{ \begin{gathered} A = \frac{{N\sum {{x_i}{y_i} - \left( {\sum {{x_i}} } \right)\left( {\sum {{y_i}} } \right)} }}{{N\sum {x_i^2 - {{\left( {\sum {{x_i}} } \right)}^2}} }} \hfill \\ \hfill \\ \hfill \\ B = \frac{{\left( {\sum {x_i^2} } \right)\left( {\sum {{y_i}} } \right) - \left( {\sum {{x_i}} } \right)\sum {{x_i}{y_i}} }}{{N\sum {x_i^2 - {{\left( {\sum {{x_i}} } \right)}^2}} }} \hfill \\ \end{gathered} \right.\]
anonymous
  • anonymous
The y-intercept is where the line crosses the y-axis.
Michele_Laino
  • Michele_Laino
where N is the number of experimental points
anonymous
  • anonymous
experimental points? what does the E stands for?
Michele_Laino
  • Michele_Laino
where is the E ?
Michele_Laino
  • Michele_Laino
with experimental points, i mean the number of points, namely: N=11
anonymous
  • anonymous
The big numberal sign you see repeating
anonymous
  • anonymous
'∑' this sign ?
anonymous
  • anonymous
Oooh it stands for equation
Michele_Laino
  • Michele_Laino
it is the capital \sigma
Michele_Laino
  • Michele_Laino
\[\Large \Sigma \] stands for summation
anonymous
  • anonymous
Im not getting how to find the slope intercept..?
Michele_Laino
  • Michele_Laino
for example, we have: \[\Large \sum\limits_{i = 1}^5 {{x_i}} = {x_1} + {x_2} + {x_3} + {x_4} + {x_5}\]
anonymous
  • anonymous
O_O what does all those signs and numbers suppose to mean again?
anonymous
  • anonymous
Im not sure anybody told me yet :-:
Michele_Laino
  • Michele_Laino
nevertheless I think that we have to write the equation of the line represented in your drawing. In order to that we note that your line passes at point (5,9) and at point (10,15) so we have to write the equation of a line which passes at those points
anonymous
  • anonymous
oh ok .. O_o
anonymous
  • anonymous
In order to calculate slope, note that it is rise/run or: y2 - y1/x2 - x1 (Using two points to plug in)
anonymous
  • anonymous
I remember hearing about rise over run
anonymous
  • anonymous
but what does the numbers do ?
anonymous
  • anonymous
Awesome! The numbers next to the x and y are sub numbers… they don't really mean anything
anonymous
  • anonymous
I mainly used to refer to them as numbers that would help me keep organized
anonymous
  • anonymous
Oh so they are just for show?
anonymous
  • anonymous
Technically, no, but you can look at it that way :)
anonymous
  • anonymous
Oh ok
anonymous
  • anonymous
You pronounce "y2" as "y sub 2"
anonymous
  • anonymous
if i had a equation like this : y = 3x + 6/5 why is there a fraction in their and what do i do about it
anonymous
  • anonymous
Well, "6/5" represents slope: meaning that you would rise 6 units, and run (towards the right since it is positive) 5 units.
anonymous
  • anonymous
Oh ok I think Im good thanks
anonymous
  • anonymous
Okay, cool! So, usually I start at the y-intercept before I rise or run if I have a graph.. there are many ways to calculate slope, but since you have a graph, it's easier to have a visual representation that way.
anonymous
  • anonymous
|dw:1436729744129:dw|
anonymous
  • anonymous
So, we can choose ANY two points that are on the line.
anonymous
  • anonymous
Let's take: (1, 4) (5, 9)
anonymous
  • anonymous
We can name both of these pairs as: (x1, y1) (x2, y2) Make sense?

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