SOLUTION:
Case: Identifying graphs with corresponding correlation coefficients
Given: Three correlation coefficients with their corresponding graphs
Required: To match the graphs with their correct approximate linear correlation coefficients.
Method: The linear coefficients of graph is evaluated from the level of noise from the line of best fit(the red lines in the image below)
Correlation varies as
1 meaning perfectly correlated
as it tends to zero poor correlation AND
as it tends to one it is a good correlation
From the image above
A matches with (I). No noise
B matches with (II) least noise
C matches with (III) less noise
Final answer:
A) r =0.787. matches with (I)
B) r= 0.946 matches with (II)
C) r=1 matches with (III)
