lue of the linear correlation coefficient. Why do we refer to this correlation c
ID: 2946816 • Letter: L
Question
lue of the linear correlation coefficient. Why do we refer to this correlation coefficient as being linear Choose the correct answer below The term linear refers to the straight line that passes through the greatest number of points, and r measures the fraction of the points the line passes through 11) The term linear refers to a straight line, and r measures how well a scatterplot fits a straight-line pattern II) The term linear refers to a straight line that passes through the average values of the paired data, and r measures how well a scatterplot fits a IV) The term linear refers to a straight line, and r measures the fraction of the points the best line passes through.Explanation / Answer
The straight line is the best fit line on the scatter plot. However it is not the line which passes through the greatest number of points. Therefore I) is incorrect. It is made by minimizing the sum of square of errors from that line. Also the straight line passes through the average point for (X, Y) . r does not refer to the fraction of points the best line pass through, therefore IV) is incorrect.
Therefore III) is the correct answer here.
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