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Equation of the best fit line
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Equation of the best fit line
Lessons
• a=n∑x2−(∑x)2n∑xy−∑x∑y
• b=y−ax
- Introduction
• Formula for the Best Fit Line
• What are Residuals? - 1.Determining the Equation for a Best Fit Line
Given the following bivariate data give the equation for the best fit line and plot it on the given graph.
x
y
1
2
2
2
3
4
4
5
- 2.Determining the Equation for a Best Fit Line using Calculator Commands
For the following bivariate data:
x
y
1
9
2
7
3
8
4
5
5
5
6
3
7
2
a)Using a graphing calculator plot the points on a graphb)Still using your graphing calculator find the equation for the best fit line and plot it on the same graph - 3.Interpretation graphical Data
In Skyrim (a video game) I plotted what level I was when I killed my first 5 dragons. The graphical data is given below:
# of dragons killed
Corresponding level
1
Level 4
2
Level 5
3
Level 6
4
Level 6
5
Level 7
a)What is the sum of all the residuals squared?b)Using the data above extrapolate what my level will be when I kill my 8th dragon. Is this a good estimation? Why or why not?