Final answer:
The scatter plot suggests a type of correlation based on the trend of data points, with upward trends indicating positive correlation, downward trends indicating negative correlation, and no discernible trend indicating no correlation. The strength is given by the correlation coefficient. The correct multiple-choice option is (c).
Step-by-step explanation:
The type of correlation suggested by a scatter plot can be determined by the trend of the data points presented. When there is a positive correlation, as one variable increases, the other variable also increases, which is indicated by the data points trending upwards as they move from left to right (0 < r < 1). In contrast, a negative correlation shows that as one variable increases, the other decreases, reflected by data points trending downwards ( -1 < r < 0). If there is no correlation, the variables do not display any consistent relationship, and the data points will not follow a distinct pattern that slopes either upward or downward (r = 0).
Moreover, the strength of the relationship is indicated by the correlation coefficient, with -1 or 1 being the strongest negative or positive correlation, respectively, and values closer to zero representing a weaker relationship. Sometimes, data may follow a non-linear pattern, suggesting a curvilinear correlation. It is crucial to inspect the scatter plot and consider potential factors such as outliers and the appropriateness of a linear model before drawing conclusions about the nature of the relationship. The correct multiple-choice option is (c).