Underwater Speed of Sound Pressure changes in seawater

Chapter 12, Problem 12.12.14

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Underwater Speed of Sound Pressure changes in seawater affect the speed at which sound is transmitted, and the data set in DS 12.12.11 shows how the underwater speed of sound relates to the depth at which it is measured. Use a linear regression modeltoanalyzethedatawiththedepthastheinputvariable and with the speed of sound as the output variable. (a) Show how to calculate the tted regression line. (b) Show how to calculate the estimate of the error variance. (c) Perform a hypothesis test to assess whether it is a signicant regression. (d) Calculate a 95% condence interval for the speed of sound at a depth of 4 meters. (e) What is the value of the coefcient of determination R2?The following data sets can be used to practice the regression techniques discussed in this chapter.

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