compute the test statistic (T) and the degrees of freedom (df). G
To determine how climate change and habitat loss will influence Antarctic species, baseline estimates of population sizes and distributions are needed. To this end, a group of researchers estimated the population sizes of all breeding colonies of emperor penguins (Aptenodytes fosteri) along Antarctic coastlines using satellite imagery (Fretwell et al., 2012). For each breeding colony encountered, the researchers determined the latitude, longitude, and area (m2) of the colony, and estimated the total number of emperor penguins present. Then, they compared their colony size estimates to previously published estimates.
Suppose the researchers want to determine if there is a linear relationship between the previous population estimates and the current population estimates, so they decide to conduct a two-tailed T test for no linear relationship. From 29 data points, they calculate the linear regression equation to be
where ?Y^ is the predicted current population estimate and x is the previous population estimate. The standard error of the slope, SEb, is 0.10942. The researchers examine the residuals plot and determine that all of the requirements for using a T-test for no linear relationship have been met.
First, determine the null and alternative hypotheses of the test. B represents the slope of the population regression line and P represents the population
Next, compute the test statistic (T) and the degrees of freedom (df). Give your answer for t precise to three decimals.
t =
df =
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