{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

correlation and regression examples

# correlation and regression examples - COMPUTATION EXAMPLES...

This preview shows pages 1–8. Sign up to view the full content.

COMPUTATION EXAMPLES FOR CORRELATION AND REGRESSION 1

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

View Full Document
FORMULAS FOR CORRELATION AND REGRESSION Correlation coefficient r : r = ( X - X )( Y - Y ) q ( X - X ) 2 q ( Y - Y ) 2 Slope of least squares regression line b : b = ( X - X )( Y - Y ) ( X - X ) 2 Intercept of least squares regression line a : a = Y - bX 2
COMPARE r AND b FORMULAS Both have same numerator. Just need SS X in b denominator. 3

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

View Full Document
VISUAL AND HEARING PERFORMANCE SCORES FOR 10 SUBJECTS A B C D E F G H I J X 15 12 10 14 10 8 6 13 16 13 Y 20 15 12 18 10 13 12 10 18 15 4
INTERMEDIATE CALCULATIONS A B C D E F G H I X 15 12 10 14 10 8 6 13 16 Y 20 15 12 18 10 13 12 10 18 ( X - X ) 2 9.61 0.01 3.61 4.41 3.61 15.21 34.82 9.61 16.81 ( Y - Y ) 2 32.49 0.49 5.29 13.69 18.49 1.69 5.29 18.49 13.69 ( X - X ) × ( Y - Y ) 17.67 0.07 4.37 7.77 8.17 5.07 13.57 -13.33 15.17 X = 11 . 9 Y = 14 . 3 SS X = ( X - X ) 2 = 98 . 9 SS Y = ( Y - Y ) 2 = 110 . 1 CP XY = ( X - X )( Y - Y ) = 59 . 3 5

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

View Full Document
ESTIMATES OF CORRELATION, REGRESSION Correlation coefficient r : r = ( X - X )( Y - Y ) q ( X - X ) 2 q ( Y - Y ) 2 = 59 . 3 98 . 9 110 . 1 = 0 . 57 Slope of least squares regression line b : b = ( X - X )( Y - Y ) ( X - X ) 2 = 59 . 3 98 . 9 = 0 . 60 Intercept of least squares regression line

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 ]}