Based on the description of the thirteen points plotted in an almost straight diagonal line in the first quadrant, showing an increasing trend, the best estimated correlation coefficient would be:
0.80
This value suggests a strong positive correlation. A correlation coefficient of 1 would indicate a perfect linear relationship, which may not be the case if the points are described as "almost" in a straight line. The negative correlation coefficient options (like −1) do not apply since the trend is increasing. Therefore, 0.80 is the most reasonable estimate.