The authors of the paper “Evaluating Existing Movement Hypotheses in Linear Systems Using Larval Stream Salamanders” (Canadian Journal of Zoology [2009]: 292–298) investigated whether water temperature was related to how far a salamander would swim and whether it would swim upstream or downstream. Data for 14 streams with different
The two variables of interest are x = Mean water temperature (°C) and y = Net directionality, which was defined as the difference in the relative frequency of the released salamander larvae moving upstream and the relative frequency of released salamander larvae moving downstream. A positive value of net directionality means a higher proportion were moving upstream than downstream. A negative value of net directionality means a higher proportion were moving downstream than upstream.
- a. Construct a
scatterplot of the data. How would you describe the relationship between x and y? - b. Find the equation of the least-squares line describing the relationship between y = Net directionality and x = Mean water temperature.
- c. What value of net directionality would you predict for a stream that had mean water temperature of 15 °C?
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