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hated from a graph that appeared in the paper) ariables of interest are x = mean water temper of the released salamander larvae moving ups alue of net directionality means a higher propor proportion were moving downstream than upstr Mean Temperature (x) Net Direction=

hated from a graph that appeared in the paper) ariables of interest are x = mean water temper of the released salamander larvae moving ups alue of net directionality means a higher propor proportion were moving downstream than upstr Mean Temperature (x) Net Direction=

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 76E
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The authors of a paper 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 mean water temperatures where salamander larvae were released are given (approximated from a graph that appeared in the paper). 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. Mean Temperature (x) Net Directionality (y) 6.22 8.11 8.57 10.61 12.4 11.94 12.55 18.03 18.24 19.84 20.2 19.02 17.78 19.67 -0.08 0.25 -0.14 0.00 0.08 0.03 -0.07 0.29 0.23 0.24 0.19 0.14 0.05 0.07
Transcribed Image Text:The authors of a paper 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 mean water temperatures where salamander larvae were released are given (approximated from a graph that appeared in the paper). 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. Mean Temperature (x) Net Directionality (y) 6.22 8.11 8.57 10.61 12.4 11.94 12.55 18.03 18.24 19.84 20.2 19.02 17.78 19.67 -0.08 0.25 -0.14 0.00 0.08 0.03 -0.07 0.29 0.23 0.24 0.19 0.14 0.05 0.07
(b) Find the equation of the least-squares line describing the relationship between y = net directionality and x = mean water temperature. (Round your numerical values to four decimal places.) ŷ = (c) What value of net directionality would you predict for a stream that had mean water temperature of 13°C? (Round your answer to four decimal places.)
Transcribed Image Text:(b) Find the equation of the least-squares line describing the relationship between y = net directionality and x = mean water temperature. (Round your numerical values to four decimal places.) ŷ = (c) What value of net directionality would you predict for a stream that had mean water temperature of 13°C? (Round your answer to four decimal places.)
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