Hw11Sols - STAT 350 Assignment 11 Solutions (70 points) 2....

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(70 points) 2. (a) (4) The slope of the estimated regression line ( β = -.01) is the expected change in reaction time for a one degree Fahrenheit increase in the temperature of the chamber. So, with a one degree Fahrenheit increase in temperature, the true average reaction time will decrease by .01 hours. With a 10 degree increase in temperature, the true average reaction time will decrease by (10)(.01) = 1 hour. (b) (4) When x = 200, 3 ) 200 ( 01 . 5 200 = = y µ . When x = 250, 5 . 2 ) 250 ( 01 . 5 250 = = y (c) (3, grade only for completeness, not correctness) = = < < ) 250 when 6 . 2 4 . 2 ( x y P 8164 . 0918 . 9082 . ) 33 . 1 ( ) 33 . 1 ( ) 33 . 1 33 . 1 ( 075 . 5 . 2 6 . 2 075 . 5 . 2 4 . 2 = = < < = < < = < < z P z P z P z P Next, the probability that all five observed reaction times are between 2.4 and 2.6 is (.8164) 5 = .3627 4. (a) (3) The scatterplot appears linear, so a simple linear regression model seems reasonable. (b) (4) The following quantities are needed: ( )( ) ( ) ( ) ( ) ( ) 1278 . 1 ) 2 . 53 )( 82697 (. 867 . 42 82697 . 4 . 20586 4 . 17024 7 . 14435 15 643 41999 4 . 20586 15 798 63040 4 . 17024 15 643 798 51232 867 . 42 200 . 53 2 2 = = = = = = = = = = = = = = x b y a S S b S S S y x xx xy yy xx xy 100 50 0 100 90 80 70 60 50 40 30 20 10 0 rainfall volume runoff volume
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This note was uploaded on 09/21/2011 for the course STAT 350 taught by Professor Staff during the Spring '08 term at Purdue University-West Lafayette.

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Hw11Sols - STAT 350 Assignment 11 Solutions (70 points) 2....

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