SOLUTION: Please i need help i am so confused. My teacher assigned me this today and it's due Monday. If i have data points: (2,1), (4,3), (5,5), (7,6), (3,18) 1. How can i find a

Question 672408: Please i need help i am so confused. My teacher assigned me this today and it's due Monday.
If i have data points: (2,1), (4,3), (5,5), (7,6), (3,18)
1. How can i find and graph a line of best fit that includes the data points?
2. How can i find and graph a line of best fit that does not include the data points ?
3. Which equation would better model the data and why ?
Please please please i honestly don't understand what he means in these questions. Please I'd appreciate the help.
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
x|y
2|1
4|3
5|5
7|6
3|18
...
Line that include data points, chose (2,1) and (7,6) from visual quick plot of the points.
slope =
y - 1 = 1(x-2)
y = x - 2 + 1

...
Line that does not include the data points
Using the "least square method" for best fit line
Find xy and x^2
x|y|xy|x^2
2|1|2|4
4|3|12|16
5|5|25|25
7|6|42|49
3|18|54|9
..........
21|33|135|103 ==> Sums of each column
...
slope =
=
=
...
y-intercept
6.6 - 4.2(-.243) = 7.62
...
Best fit line

...
For an explanation of the forumula
http://hotmath.com/hotmath_help/topics/line-of-best-fit.html
...
The first equation is a better model, as there are only two outliers from the line, one more extreme than the other. This line thereby captures on it three of the 5 data points. The second line, while a true "best fit line" captures none of the data points and represents too wide of a variance resulting from one extreme outlier. Not to mention the negative slope, whereas, the data represents a positive slope trend, not a negative one.
...

.....................
Delighted to help.
-Reading Boosters
Email: HomeworkHelpers@ReadingBoosters.com
Wanting for others what we want for ourselves.

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