Final answer:
In determining correlation from a graph, positive correlation implies that variables increase together, while negative correlation means one variable decreases as the other increases. A scatter plot and correlation coefficient help to identify and quantify the type of correlation present.
Step-by-step explanation:
The question at hand involves the concept of correlation in statistics, which is a measure of the relationship between two variables. To determine whether there is a positive correlation, a negative correlation, or no correlation, we look at the direction and pattern of the data points on a scatter plot. A positive correlation means that as one variable increases, so does the other, whereas a negative correlation signifies that as one variable increases, the other tends to decrease.
Based on the scatter plot data provided, if a graph shows that the number of quarts picked increases as time passes, it demonstrates a positive correlation. Conversely, if the graph shows that the number of quarts picked decreases as time passes, this would be indicative of a negative correlation. In the case of no correlation, the scatter plot would not display any discernible trend or pattern in the data points.
The correlation coefficient, denoted as r, helps to quantify this relationship. Values of r closer to 1 or -1 show a stronger relationship, and values close to 0 suggest a weak or no correlation.