The regression output was based on a sample of 213 cane toads. How many degrees of freedom does the appropriate t-distribution used to get the p value and the t∗ critical value for confidence intervals have?

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The regression output was based on a sample of 213 cane toads. How many degrees of freedom does the appropriate t-distribution used to get the p value and the t∗ critical value for confidence intervals have?

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 Standard Error
t-value
Pr > |t|
(Intercept)
19.192
43.082
0.44547
0.65643
body mass
3.0063
0.36387
8.262
1.5733e
-14
Transcribed Image Text: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 Standard Error t-value Pr > |t| (Intercept) 19.192 43.082 0.44547 0.65643 body mass 3.0063 0.36387 8.262 1.5733e -14
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