204 exm2 su10 - Math 2040 Exam 2 summer 2010 Name _ SHOW...

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Math 2040 Exam 2 summer 2010 Name ___________________________________ SHOW your work to receive credit 1) A study was made to determine if the distance of a home from the nearest fire station increases the damage that a fire will cause to the home and the following dat were obtained. Distance (miles) x 3.4 1.8 4.6 2.3 3.1 5.5 0.7 Damage ($1,000s) y 26.2 17.8 31.3 23.1 27.5 36.0 14.1 a) Calculate the linear regression coefficients b o and b 1 in the equation y = b o + b 1 x (6 points) ________ b) Calculate the predicted damage for a home that is 12 miles away from the station. (4 pts) ___________ c) Comment on your confidence in the accuracy of the prediction in b). (4 pts) ___________________________________________________________________________ ____________________________________________________________________________ 4) What criteria are used in determining the coefficients b o and b 1 , i.e. what is meant by the “best “ line through the data? . (4 pts) _________________________________________________________________________ 5) Find the linear regression coefficients b
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204 exm2 su10 - Math 2040 Exam 2 summer 2010 Name _ SHOW...

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