The first Batman movie was made over 50 years ago in 1966. Over the years, Batman has been played on screen by a number of actors and even by a Lego figure in the Lego Batman movies. In the original comic books, Batman was 188 centimeters tall (about 6'2") and weighed 95 kilograms (about 210 pounds). The article ?50 Years of Batman on Film: How Has His Physique Changed?? (economist.com, March 28, 2016, retrieved April 22, 2017) included the heights and weights of all the onscreen Batmen in the table below.

With x = Height and y = Weight, the equation of the least-squares line is y = 1.052 + 0.466x.

a. Calculate the residuals.

b. Construct a residual plot. Are there any unusual features of the residual plot?

c. The observation for Lego Batman (4, 4) is far removed from the other values in the data set (not surprising!). Is this observation influential in determining either the slope of the least-squares line, or the intercept, or both? Justify your answer.

Transcribed Image Text:

Batman Height (cm) 188 Weight (kg) Comic book 95 Lego Batman Adam West 188 91 Michael Keaton 178 72 Val Kilmer 183 93 George Clooney 180 78 Christian Bale 183 82 Ben Affleck 193 98