RegressionInClass

# RegressionInClass - ESI 6321 APPLIED PROBABILITY METHODS IN...

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ESI 6321 APPLIED PROBABILITY METHODS IN ENGINEERING OEM 2009 January 13, 2008 IN-CLASS ASSIGNMENT Problem 1: Regression models were used to analyze the data from a study investigating the relationship between roadway surface temperature in ° F ( x ) and pavement deflection ( y ). Summary quantities were n=20 , 12.75 = ! i i y , 2 8.86 = ! i i y , 1,478 = ! i i x , 2 143,215.8 = ! i i x , and 1,083.67 = ! i i i x y . Assume that the two variables are related according to the simple linear regression model. (a) Calculate the least squares estimates of the slope and intercept. (b) Use the equation of the fitted line to predict what pavement deflection would be observed when the surface temperature is 85 ° F. (c) What is the mean pavement deflection when the surface temperature is 90 ° F? (d) What change in mean pavement deflection would be expected for a 1 ° F change in surface temperature? (e)

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RegressionInClass - ESI 6321 APPLIED PROBABILITY METHODS IN...

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