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Question
match the linear correlation coefficient to the scatter diagram. the scales on the x - and y - axes are the same for each diagram.
(a) ( r=-0.992 )
(b) ( r = 1 )
(c) ( r = 0.049 )
(d) ( r = 0.523 )
click the icon to view the scatter diagrams.
(b) identify the scatter diagram corresponding to ( r = 1 ). choose the correct answer.
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When the linear correlation coefficient \(r = 1\), it indicates a perfect positive linear relationship. In a scatter - diagram, all the data points will lie exactly on a straight line with a positive slope.
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The scatter - diagram with all points lying exactly on a straight line with a positive slope (the first scatter - diagram among the options for part (b)) is the one corresponding to \(r = 1\).