Friesen and Shine (2019) wanted to determine whether male Australian cane toads have different testes sizes in different parts of the species' range (edge of the range vs. core of the range). As part of the study, they needed to quantify how big a toad's testes are relative to the toad's body size. They decided to perform a linear regression of total testes mass (in mg) against body mass (in g) and use the residual for each toad as a measure of the toad's relative testes size. The Coefficient Estimates table for their least-squares regression procedure is shown below. Term Coefficient Standart Error t − v a l u e P r &gt;∣ t ∣ (intercept) 19.192 43.082 0.44547 0.65643 body mass 3.0063 0.36387 8.262 1.5733 e − 14 One toad in the dataset had a body mass of 128g and a total tested mass of 163 mg. Compute the residual corresponding to this toad and write a sentence interpreting the residual.

Question

Friesen and Shine (2019) wanted to determine whether male Australian cane toads have different testes sizes in different parts of the species&#039; range (edge of the range vs. core of the range). As part of the study, they needed to quantify how big a toad&#039;s testes are relative to the toad&#039;s body size. They decided to perform a linear regression of total testes mass (in mg) against body mass (in g) and use the residual for each toad as a measure of the toad&#039;s relative testes size. The Coefficient Estimates table for their least-squares regression procedure is shown below.                     Term                    Coefficient                    Standart Error                    t        −        v        a        l        u        e                    P        r        &amp;gt;∣        t        ∣                            (intercept)                    19.192                    43.082                    0.44547                    0.65643                            body mass                    3.0063                    0.36387                    8.262                    1.5733                  e                      −            14                              One toad in the dataset had a body mass of 128g and a total tested mass of 163 mg. Compute the residual corresponding to this toad and write a sentence interpreting the residual.

potamanixv · Accepted Answer

We have given cofficient of regression and we have to find residual for given x and y.Let equation is y=a+bxWhere a=19.192b=3.0063Wherey=19.192+3.0063xNow we have find residual forx=128 ,y=163Now predicted value isy=19.192+3.0063*128=403.9984Now residual isResidual=actual y-predicted y=163-403.9984=-240.9984 answer