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.
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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
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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 ) ( ) )( (
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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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