{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lecture 28

# Lecture 28 - Standard Error of the Estimate If the data...

This preview shows pages 1–6. Sign up to view the full content.

Standard Error of the Estimate If the data spread about the line is normal Standard deviation ” for the regression line 2 n S S r x y - = / Standard error of the estimate No error if n = 2 ( a 0 and a 1 )

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Spread of data around the mean Spread of data around the best-fit line Linear regression reduce the spread of data Normal distributions
Standard Deviation for Regression Line S y/x S S : Spread around the mean 2 n S S 1 n S S r x / y t y - = - =

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Example: Linear Regression 5 . 119 ) 5 . 5 ( 7 ) 0 . 6 )( 6 ( ) 5 . 2 )( 5 ( ) 0 . 4 )( 4 ( ) 0 . 2 )( 3 ( ) 5 . 2 )( 2 ( ) 5 . 0 )( 1 ( y x S 140 7 6 5 4 3 2 1 x S 24/7 n / S y ; 0 . 24 5 . 5 0 . 6 5 . 3 0 . 4 0 . 2 5 . 2 5 . 0 y S 4 28/7 /n S x ; 28 7 6 5 4 3 2 1 x S i i xy 2 2 2 2 2 2 2 2 i xx y i y x i x = + + + + + + = = = + + + + + + = = = = = + + + + + + = = = = = = + + + + + + = = 9911 2 S 7143 22 S 5 119 S 140 S 0 24 S 28 S 1993 0 2908 4 5 38 49 5 5 7 7972 0 6122 6 0 36 36 0 6 6 5896 0 0051 0 5 17 25 5 3 5 3265 0 3265 0 0 16 16 0 4 4 3473 0 0408 2 0 6 9 0 2 3 5625 0 8622 0 0 5 4 5 2 2 1687 0 5765 8 5 0 1 5 0 1 x a a y y y y x x y x r t xy xx y x 2 i 1 0 i 2 i i i 2 i i i . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ) ( ) ( = = = = = = - - -
Example: Linear Regression 839285714 0 a 071428573 0 a 5 119 24 a a 140 28 28 7 S S a a S S S n 1 0 1 0 xy y 1 0 xx x x . , .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern