QUESTION IMAGE
Question
answer the questions that follow. the same response may be the correct answer for more than one question.
- which data - set shows the least evidence of a linear relationship?
- for which data - set does the correlation coefficient r appear to be equal to 1?
- for which data - set is the correlation coefficient r closest
Step1: Analyze linear - relationship appearance
A linear relationship in a scatter - plot is indicated by points that roughly form a straight line. Figure 1 has points that are very scattered and do not form any discernible straight - line pattern, so it shows the least evidence of a linear relationship.
Step2: Understand correlation coefficient r = 1
A correlation coefficient r = 1 indicates a perfect positive linear relationship. In Figure 3, the points lie almost exactly on an upward - sloping straight line, suggesting r is close to 1.
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- The data set in Figure 1
- The data set in Figure 3