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Answer :
Final answer:
A scatter plot is a statistical graph showing the relationship between two variables, with the pattern of dots indicating the direction and strength of the correlation. The slope of the points suggests a positive or negative correlation, and the amount of scatter indicates the correlation strength.
Explanation:
The subject in question is a scatter plot, which is a type of graph used in statistics, a branch of mathematics. A scatter plot is useful for visualizing the relationship between two variables. Each dot on the graph represents an individual data point with its position determined by the value of the two variables, which are typically plotted along the x-axis (horizontal) and y-axis (vertical).
When the dots on a scatter plot form a pattern that can be approximated with a straight line, this implies a linear relationship between the variables. The slope of the dots suggests whether the relationship is positive (upward slope) or negative (downward slope). Moreover, the strength of the correlation is suggested by how tightly the dots cluster around the line; a strong correlation would show points closely aligned to the line, while a weak correlation would have points that are more scattered.
If the pattern of the dots extends from the bottom left to the upper right of the graph, this indicates a positive correlation, where both variables tend to increase together. Conversely, if the pattern extends from the upper left to the bottom right, this indicates a negative correlation, where one variable increases as the other decreases. The Pearson correlation coefficient (r) is a statistical measure that can quantify the degree of this correlation, with values close to 1 or -1 indicating strong positive or negative correlations, respectively.
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