Given:
The objective is to choose the correct graph which shows a positive linear relationship with a correlation coefficient, r, close to 1.
The positive linear relationship represents the increasing values of plots from origin to positive x and positive y axis.
By observing graph A, the plots are scattered all over the quadrant. Hence, it is a weak association.
By observing graph B, the plots are plotted as decreasing in y axis and increasing in x axis. Hence, it is a strong negative association.
By observing graph C, the plots are plotted as increasing in both x axis and y axis. Hence, it is a strong positive association.
Hence, the graph which shows a positive linear relationship with a correlation coefficient, r, close to 1 is graph C.