Final answer:
In the scatterplot, there is a general trend of data points moving upward, indicating a positive relationship between love score and relationship duration. Therefore,the correct Option is Option C) Weak positive correlation.
Step-by-step explanation:
The scatterplot indicates a slight upward trend in the data points, suggesting a positive correlation between love score and relationship duration. However, the correlation appears to be weak as there is considerable variability in the data. While some relationships with higher love scores have longer durations, there are instances where the relationship duration does not consistently increase with the love score. The correlation coefficient, when calculated, is likely to be positive but closer to zero, confirming a weak positive correlation.
In mathematical terms, if we denote love score as variable X and relationship duration as variable Y, the correlation coefficient (r) would be calculated using the covariance of X and Y divided by the product of their standard deviations. A positive r value would support a positive correlation. However, the strength of the correlation would be determined by the proximity of the coefficient to zero.
To sum up, the scatterplot suggests a weak positive correlation between love score and relationship duration. This implies that while there is a tendency for relationships with higher love scores to have longer durations, the relationship is not strong, and other factors may influence the duration of a relationship.
Therefore,the correct Option is Option C) Weak positive correlation.