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The graph above shows the share prices of Company X and Company Y over the first six months of 2021, based on the last working day of each month.
Select from each drop-down menu the option that creates the most accurate statement, given the information provided.
Based on the graph above, the share prices of the companies are .
The range of the share price of Company X on the last working day for the six months shown in the graph is .
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Official Solution:
Drop-down 1:
Two data sets are positively correlated if they both tend to be higher in the same cases. They are negatively correlated if one tends to be higher in cases where the other is lower. For positively correlated data, their lines tend to slope up or down together; the more consistently this happens, the stronger the positive correlation. Conversely, when two data sets are negatively correlated, the line for one tends to slope up while the other slopes down, and vice versa. The more consistently these opposite slopes occur, the stronger the negative correlation.
Examining the graph, we observe that the lines for the shares of Company X and Y slope in opposite directions in 4 out of 5 cases. Thus, we can conclude that the share prices are negatively correlated.
Drop-down 2:
The range is the difference between the highest value and the lowest value. The highest price for Company X's share was in June at 28, and the lowest price was in April at 20, making the range equal to 28 - 20 = 8.
1. Positive correlation (+) is when intervals from both companies X and Y increase/decrease together. Negative correlation (-) is when one increases and the other decreases.
Hi, just a conceptual doubt, when considering correlation is there any minimum criteria where it should follow the trend? For example here, it is 4 out of 5 cases, but would it be fine if it was 3/5 cases? Should it hold true more than 50% of the times for it to be considered a correlation or 75%. Basically is there a number which we can consider as a minimum percentage as a rule of thumb Bismuth83Bunuel
Hi, just a conceptual doubt, when considering correlation is there any minimum criteria where it should follow the trend? For example here, it is 4 out of 5 cases, but would it be fine if it was 3/5 cases? Should it hold true more than 50% of the times for it to be considered a correlation or 75%. Basically is there a number which we can consider as a minimum percentage as a rule of thumb Bismuth83Bunuel
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There’s no strict cutoff, but for GMAT purposes, if two variables move in the same direction in most cases (like 4 out of 5), that’s enough to call it a positive correlation. If it’s just 3 out of 5, that’s usually too weak to be considered reliably correlated.
In real data analysis, a positive correlation generally requires a stronger trend — typically 70% or more of the movements aligning.