To find more information in Bivariate Data click here.
Click here and here and here and here to practice Identifying Scatter Plot Trends and Predicting with Best Fit Lines online and get automatic feedback (it grades it)! 🙂
Writing Linear Equations
Slope Intercept Form: y =mx +b
The variable m is the slope, it explains the steepness of a line.
The variable b is the y-intercept, this is where the line touches or intersects at the y-axis.
In a function there can ONLY be ONE output(y) for every input (x).
Just like I stated before, a Function is Special! 🙂
It must work for every possible input value
And it has only one relationship for each input value
THIS IS A FUNCTION! THIS IS NOT A FUNCTION!
***Think of the birthday example. Each person can only have 1 birthday, other people might have the same birthday as you but you have only 1. You are like the x (input) value and your birthday the y (output) value.***
Example: y = x²
FUNCTION
Could also be written as a table:
X: x
Y: x2
3
9
1
1
0
0
4
16
-4
16
…
…
It is a function, because:
Every element in X is related to Y
No element in X has two or more relationships
The X values DO NOTrepeat
So it follows the rules.
(Notice how both 4 and -4 relate to 16, which is allowed since 4 and -4 are two different numbers.)