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Chapter Four Day Three

Chapter Four Day Three. Review of Transformations. Types of Transformations. “common sense” guess at model Power Model (x vs. log y): y = c*x b Exponential Model (log x vs. log y): y =c(b) x. Example of an Power Model. Body Weight vs. Lifespan (p. 285 #11). Body Weight vs. Lifespan.

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Chapter Four Day Three

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  1. Chapter FourDay Three Review of Transformations

  2. Types of Transformations • “common sense” guess at model • Power Model (x vs. log y): y = c*xb • Exponential Model (log x vs. log y): y =c(b)x

  3. Example of an Power Model • Body Weight vs. Lifespan (p. 285 #11)

  4. Body Weight vs. Lifespan • A. Determine if a power model is appropriate • B. Perform LSR. To judge goodness of fit check r2 and residual plot. • C. Carry out inverse transformation • D. Use model to predict lifespan of humans (65 kg)

  5. Example of a power model#12 p. 286 Would a power or an exponential model be more appropriate. Construct the power model Should you change pricing? Suggest a price for a “Team Pizza” which is 24in in diameter

  6. Power Model Example • How much weight is too much? P. 286 #13

  7. Without looking at the table hypothesize a relationship between height and weight of U.S. adults. That is, write a general form of an equation that you believe will model the relationship. Which variable would you select as explanatory and which would be the response? Plot the data fro the table. Perform a transformation to achieve linearity. Do a least squares regression on the transformed data and interpret the value of r2. Construct a residual plot of the transformed data. Interpret the residual plot. Perform the inverse transformation and use it to predict how many pounds a 5’ 10” adult would have to weigh to be classified as severely overweight.

  8. Example of Common Sense Transformation • P. 289 #15 Free –fallin’ – distance is a function of time squared

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