1. 13.9 Day 2 Least Squares Regression

2. Examples of Regression

4. Example 3
Find the least squares regression line for the points (-3,0), (-1,1), (0,2) and (2,3)

5. Solution to Example 3
Here is the computation involved in finding the least squares regression line using
n= 4
The equation is
y = 8/13x + 47/26

6. Problem 28
Find the Least Squares regression of a line for the given points. Use the regression capabilities of your calculator to verify your results.

7. We will prove that 1=2 using calculus and the definition of x2:
(*) First note that x2 is equal to x*x, that is, x added to itself x times:
x*x= x*x
x2 = x + x x (done x times)
Take the derivative of each side, on the left using the power rule,
and on the right using the sum rule:
2*x = (done x times)
Now 1 added to itself x times is simply x:
2*x = x
Divide each side by x...
2 = 1

8. Set the partial derivatives = 0
to obtain the values listed
Solve for a, the substitute for b
By using
Solve this equation for b