The corresponding correlation coefficient is
.
Generally the correlation coefficient,
, has a specific range of values is
.
never lies outside this range.
is perfect positive correlation and all the data points lie exactly on a straight line with positive gradient.
likewise is perfect negative correlation.
Since
is perfect negative correlation and all the data points lie exactly on a straight line with negative gradient.
These have the cloud of data points and a trend line fitted to show the direction of the data.
\The line looks like in the decreasing direction and the points will be on the line since
.
The graph which satisfies the above conditions is Graph
.
Graph
is the correct choice.