91影视

Brawn versus brain How is the weight of an animal鈥檚 brain related to the weight of its body? Researchers collected data on the brain weight (in grams) and body weight (in Page Number: 813 Page Number: 814 kilograms) for $96$species of mammals. The following figure is a scatterplot of the logarithm of brain weight against the logarithm of body weight for all $96$species. The least-squares regression line for the transformed data is

${\mathrm{logy}}^{鈭�}=1.01+0.72{\mathrm{logx}}^{\widehat{\log y}}=1.01+0.72\log x$

Based on footprints and some other sketchy evidence, some people believe that a large ape-like animal, called Sasquatch or Bigfoot, lives in the Pacific Northwest. Bigfoot鈥檚 weight is estimated to be about $127$kilograms (kg). How big do you expect Bigfoot鈥檚 brain to be?

Step by step solution

01

Given Information

Given data:

02

Explanation

Substituting the value of $x$in the regression equation

$\log y=1.01+0.72\log \left(127\right)$

$=2.5247$

Taking each side of the result's exponential with a base of $10$:

$y={10}^{\log y}$

$={10}^{2.5247}$

$=334.734$

Unlock Step-by-Step Solutions & Ace Your Exams!

• Full Textbook Solutions

  Get detailed explanations and key concepts

• Unlimited Al creation

  Al flashcards, explanations, exams and more...

• Ads-free access

  To over 500 millions flashcards

• Money-back guarantee

  We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!