The accompanying scatterplot shows observations on hemoglobin level, determined both by the standard spectrophotometric method (y) and by a new, simpler method based on a color scale (x).+ Reference method (g/dl) 16 14 12 10 8 6 4 2 4 6 8 10 12 14 New method (g/dl) (a) Does it appear that x and y are highly correlated? O Yes O No (b) The paper reported that r= 0.9366. How would you describe the relationship between the two variables? O There is a strong negative linear correlation between the observations by the standard spectrophotometric method and the new, simpler method. O There is a weak negative linear correlation between the observations by the standard spectrophotometric method and the new, simpler method. O There is a strong positive linear correlation between the observations by the standard spectrophotometric method and the new, simpler method. O There is a weak positive linear correlation between the observations by the standard spectrophotometric method and the new, simpler method. O There is no correlation between the observations by the standard spectrophotometric method and the new, simpler method. (c) The line pictured in the scatterplot has a slope of 1 and passes through (0, 0). If x and y were always identical, all points would lie exactly on this line. The authors of the paper claimed that perfect correlation (r = 1) would result in this line. Do you agree? Explain your reasoning. O Perfect correlation would result in the points lying exactly on some straight line, but not necessarily on the line described. O Perfect correlation would result in the points lying exactly on some straight line, but on a line with a slope of negative one. O Perfect correlation would result in the points lying exactly on the line described.
The accompanying scatterplot shows observations on hemoglobin level, determined both by the standard spectrophotometric method (y) and by a new, simpler method based on a color scale (x).+ Reference method (g/dl) 16 14 12 10 8 6 4 2 4 6 8 10 12 14 New method (g/dl) (a) Does it appear that x and y are highly correlated? O Yes O No (b) The paper reported that r= 0.9366. How would you describe the relationship between the two variables? O There is a strong negative linear correlation between the observations by the standard spectrophotometric method and the new, simpler method. O There is a weak negative linear correlation between the observations by the standard spectrophotometric method and the new, simpler method. O There is a strong positive linear correlation between the observations by the standard spectrophotometric method and the new, simpler method. O There is a weak positive linear correlation between the observations by the standard spectrophotometric method and the new, simpler method. O There is no correlation between the observations by the standard spectrophotometric method and the new, simpler method. (c) The line pictured in the scatterplot has a slope of 1 and passes through (0, 0). If x and y were always identical, all points would lie exactly on this line. The authors of the paper claimed that perfect correlation (r = 1) would result in this line. Do you agree? Explain your reasoning. O Perfect correlation would result in the points lying exactly on some straight line, but not necessarily on the line described. O Perfect correlation would result in the points lying exactly on some straight line, but on a line with a slope of negative one. O Perfect correlation would result in the points lying exactly on the line described.
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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Transcribed Image Text:The accompanying scatterplot shows observations on hemoglobin level, determined both by the standard spectrophotometric method (y) and by a new, simpler method based on a color scale (x).+
Reference method (g/dl)
16
14
12
10
8
6
4
2
I
Ο NO
2
4
●
8 10 12 14
6
New method (g/dl)
(a) Does it appear that x and y are highly correlated?
Yes
(b) The paper reported that r = 0.9366. How would you describe the relationship between the two variables?
There is a strong negative linear correlation between the observations by the standard spectrophotometric method and the new, simpler method.
There is a weak negative linear correlation between the observations by the standard spectrophotometric method and the new, simpler method.
There is a strong positive linear correlation between the observations by the standard spectrophotometric method and the new, simpler method.
There is a weak positive linear correlation between the observations by the standard spectrophotometric method and the new, simpler method.
O There is no correlation between the observations by the standard spectrophotometric method and the new, simpler method.
(c) The line pictured in the scatterplot has a slope of 1 and passes through (0, 0). If x and y were always identical, all points would lie exactly on this line. The authors of the paper claimed that perfect
correlation (r = 1) would result in this line. Do you agree? Explain your reasoning.
Perfect correlation would result in the points lying exactly on some straight line, but not necessarily on the line described.
Perfect correlation would result in the points lying exactly on some straight line, but on a line with a slope of negative one.
O Perfect correlation would result in the points lying exactly on the line described.
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