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QUESTION IMAGE

match each correlation coefficient to the appropriate scatter plot. the…

Question

match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot s the least squares regression line.
r = 1
r = -0.6

Explanation:

Brief Explanations
  1. For a correlation coefficient \(r = 1\), there is a perfect positive linear relationship: all data points lie exactly on an upward-sloping regression line. This matches the left scatter plot, where all points fall on the rising line.
  2. For a correlation coefficient \(r = -0.6\), there is a moderate negative linear relationship: the regression line slopes downward, and points are scattered around it (not perfectly aligned). This matches the right scatter plot, which has a downward-sloping line with scattered points.

Answer:

  • Left scatter plot: \(r = 1\)
  • Right scatter plot: \(r = -0.6\)