In a study of the ecology of movement of individuals in small streams, researche
ID: 3175644 • Letter: I
Question
In a study of the ecology of movement of individuals in small streams, researchers tracked the movements of larval red salamanders. They defined “net direction” as the differences in the relative frequency of captures moving upstream and the relative frequency of captures moving downstream. Positive numbers indicate a net movement upstream, negative numbers indicate a net direction downstream. A fit of a simple linear regression model of the net direction as a function of centigrade temperature of water in 14 small streams resulted in the following estimated regression equation: NetDir = -0.14 + 0.016 MeanTemp.
a) How would you interpret the value of b = 0.016?
b) Substituting x = 12 degrees Centigrade gives NetDir = 0.052 . Give two different interpretations of this number.
c) Do you think this equation should be used for predicting movement of red salamanders in large streams? Explain your response in a few sentences.
d) The value of r2 is 0.34. How you would interpret this value in the context of this problem?
Explanation / Answer
Result:
In a study of the ecology of movement of individuals in small streams, researchers tracked the movements of larval red salamanders. They defined “net direction” as the differences in the relative frequency of captures moving upstream and the relative frequency of captures moving downstream. Positive numbers indicate a net movement upstream, negative numbers indicate a net direction downstream. A fit of a simple linear regression model of the net direction as a function of centigrade temperature of water in 14 small streams resulted in the following estimated regression equation: NetDir = -0.14 + 0.016 MeanTemp.
a) How would you interpret the value of b = 0.016?
when temperature increase by 1 centigrade temperature, net direction increases by 0.016.
b) Substituting x = 12 degrees Centigrade gives NetDir = 0.052 . Give two different interpretations of this number.
The predicted value of net direction is 0.052 when temperature is 12 degrees.
When observed temperature is 12 degrees, we expect on average net direction value is about 0.052.
c) Do you think this equation should be used for predicting movement of red salamanders in large streams? Explain your response in a few sentences.
This should not be used for predicting movement of red salamanders in large streams because the data from small streams.
d) The value of r2 is 0.34. How you would interpret this value in the context of this problem?
34% of variation in net direction is explained by temperature.
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