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QUESTION IMAGE

ch each correlation coefficient to the appropriate scatter plot. the li…

Question

ch each correlation coefficient to the appropriate scatter plot. the line in each scatter plot he least squares regression line.
r = 1
r = -0.9

Explanation:

Brief Explanations
  1. For \(r = 1\): This represents a perfect positive linear correlation, where all data points lie exactly on an upward-sloping regression line. The right scatter plot matches this, as all points align perfectly with the increasing line.
  2. For \(r = -0.9\): This represents a strong negative linear correlation, where data points cluster closely around a downward-sloping regression line (not all points lie exactly on the line, as \(r\) is not -1). The left scatter plot matches this, as points follow the decreasing line closely but not perfectly.

Answer:

  • Left scatter plot: \(r = -0.9\)
  • Right scatter plot: \(r = 1\)