Suppose the value of r² is 100% for the relationship between two variables. (a) What is indicated about the strength of the relationship? There is a "perfect" statistical relationship. All data points would be on the regression line. There is a "perfect" linear relationship. All data points would be on the regression line. There is a "perfect" curvilinear relationship. All data points would be on the regression line. There is a "perfect" nonlinear relationship. All data points would be on the regression line. (b) What are the two possible values for the correlation coefficient for the two variables? Either -100 or +100. Either - or +∞. Either -2 or +2. Either 1 or +1.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter3: Straight Lines And Linear Functions
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Suppose the value of r² is 100% for the relationship between two variables.
(a) What is indicated about the strength of the relationship?
There is a "perfect" statistical relationship. All data points would be on the regression line.
There is a "perfect" linear relationship. All data points would be on the regression line.
There is a "perfect" curvilinear relationship. All data points would be on the regression line.
There is a "perfect" nonlinear relationship. All data points would be on the regression line.
(b) What are the two possible values for the correlation coefficient for the two variables?
Either -100 or +100.
Either - or +∞.
Either -2 or +2.
Either 1 or +1.
Transcribed Image Text:Suppose the value of r² is 100% for the relationship between two variables. (a) What is indicated about the strength of the relationship? There is a "perfect" statistical relationship. All data points would be on the regression line. There is a "perfect" linear relationship. All data points would be on the regression line. There is a "perfect" curvilinear relationship. All data points would be on the regression line. There is a "perfect" nonlinear relationship. All data points would be on the regression line. (b) What are the two possible values for the correlation coefficient for the two variables? Either -100 or +100. Either - or +∞. Either -2 or +2. Either 1 or +1.
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