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he 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 pproximated from a graph that appeared in the paper). he 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 ositive 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 -0.08 8.01 8.67 10.61 12.5 12.04 12.45 17.93 18.34 19.84 20.2 19.02 17.68 19.57 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

he 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 pproximated from a graph that appeared in the paper). he 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 ositive 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 -0.08 8.01 8.67 10.61 12.5 12.04 12.45 17.93 18.34 19.84 20.2 19.02 17.68 19.57 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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(a) Construct a scatterplot of the data. y O y 0.3 0.2 0.1 DEL 0.0 -0.1 5 10 0.3 0.2 ŷ = 0.1 -0.1 0.0 5 10 15 20 15 20 y 0.3 0.2 0.1 0.0 -0.1 5 10 15 20 How would you describe the relationship between x and y? O There is an outlier in the lower left of the window. If we disregard that outlier, then there is a negative linear relationship between mean temperature and net directionality. O There is an outlier in the upper right of the window. If we disregard that outlier, then there is a negative linear relationship between mean temperature and net directionality. O There is an outlier in the lower right of the window. If we disregard that outlier, then there is a positive linear relationship between mean temperature and net directionality. O There is an outlier in the upper left of the window. If we disregard that outlier, then there is a positive linear relationship between mean temperature and net directionality. (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.) X y 0.3 0.2 0.1 0.0 (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.) -0.1 5 10 15 20 X
Transcribed Image Text:(a) Construct a scatterplot of the data. y O y 0.3 0.2 0.1 DEL 0.0 -0.1 5 10 0.3 0.2 ŷ = 0.1 -0.1 0.0 5 10 15 20 15 20 y 0.3 0.2 0.1 0.0 -0.1 5 10 15 20 How would you describe the relationship between x and y? O There is an outlier in the lower left of the window. If we disregard that outlier, then there is a negative linear relationship between mean temperature and net directionality. O There is an outlier in the upper right of the window. If we disregard that outlier, then there is a negative linear relationship between mean temperature and net directionality. O There is an outlier in the lower right of the window. If we disregard that outlier, then there is a positive linear relationship between mean temperature and net directionality. O There is an outlier in the upper left of the window. If we disregard that outlier, then there is a positive linear relationship between mean temperature and net directionality. (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.) X y 0.3 0.2 0.1 0.0 (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.) -0.1 5 10 15 20 X
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 8.01 8.67 10.61 12.5 12.04 12.45 17.93 18.34 19.84 20.2 19.02 17.68 19.57 USE SALT (a) Construct a scatterplot of the data. -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 8.01 8.67 10.61 12.5 12.04 12.45 17.93 18.34 19.84 20.2 19.02 17.68 19.57 USE SALT (a) Construct a scatterplot of the data. -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
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