MHB Determining Positive Correlation from Table

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To determine positive correlation from a table, one can analyze the joint and marginal distributions to observe how changes in one variable relate to changes in another. Positive correlation indicates that as one variable increases, the other tends to increase as well. While computing correlation coefficients directly provides a clear answer, examining the table allows for a visual understanding of the relationship between variables. Key indicators of positive correlation include higher joint probabilities for higher values of both variables. Understanding these relationships through the table can enhance insights into the data without relying solely on computation.
annie122
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i was given a table for calculating joint and marginal distribution. then i was asked if the variables are positively correlated or not.

i know what positive correlation is, but how do i determine that from a table?
 
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Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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