Topic_10.1___Linear_Regression_and_Correlation___Examples

Topic_10.1___Linear_Regression_and_Correlation___Examples -...

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Simple Linear Regression And Correlation – Examples Ash Genaidy

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Case Study A laboratory tested tires for tread wear. Tires of a certain brand are mounted on a car. The tires were rotated from position to position every 1000 miles, and the groove depth was measured in mils (0.001 inches) initially and after 4000 miles.
Case Study Measurements were made at six equiangular positions on each of six grooves around the circumference of every tire. Determine if there is a linear relationship between mileage and groove depth.

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Raw Data
Scatter Plot of the Data

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Calculation of Least Square Estimates X b Y Intercept X X Y Y X X Slope i i i i i - = - - - = 2 ) ( ) )( (
40 . 6989 ) 15 . 244 33 . 150 )( 16 32 ( ) 15 . 244 83 . 163 )( 16 28 ( ) 15 . 244 00 . 179 )( 16 24 ( ) 15 . 244 83 . 204 )( 16 20 ( ) 15 . 244 33 . 229 )( 16 16 ( ) 15 . 244 17 . 255 )( 16 12 ( ) 15 . 244 291 )( 16 8 ( ) 15 . 244 50 . 329 )( 16 4 ( ) 15 . 244 33 . 394 )( 16 0 ( ) )( ( 15 . 244

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Topic_10.1___Linear_Regression_and_Correlation___Examples -...

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