1)

a)Fit a linear model for predicting armspan given height. Report the equation of the estimated line. Superimpose the model on a scatterplot.

b) Based on the linear model, what is the predicted armspan for your height? What is the residual ?

c) Michael Phelps' success as a swimmer has been attributed to his unusually long armspan, relative to his height. (One prominent newspaper referred to his "freakishly long armspan" for his height. His armspan is three inches greater than his height. (He is 76 inches tall.) Based on your model, what is his residual?

d) Compared to the other residuals, is Phelps' residual unusual? (Hint: how do we measure "unusual" for other statistics?) What does this say about the claim about his success as a swimmer?

e) Make a residual plot and explain what it tells us about the linear model.

Please help with r code! Thank you!

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