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RO1

The first statement says
Quote:
The numbers of December comments; the numbers of years since the films were first released

It does not say the years, it says the number of years so just consider any year post-2008, say 2020, and then count the number of years from when the film was released till 2020.

When you sort the table from low to high for December comments and count the number of years from release till 2020, you will realise that the numbers keep increasing from 2008 to 1922 (obv because the difference increases) and so they are positively correlated.
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Positively Correlated: A general pattern from start to finish in ascending order. Not necessary for every value to move according to the compared value. There can be some opposite/varied movements as long as the overall pattern is established (like in this question).

Directly Proportional: Every value increases/decreases with the compared value.

Hope this helps!
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No offense but I'm a little sceptical of this solution as it seems too ambiguous for the GMAT. I understand looking for a general correlation is often the case, but the November comments vs December comments don't seem correlated to me AT ALL.

I believe the way to solve this problem is to sort the data by country first and compare the data within countries. From purely a data analysis perspective, we should be comparing data from the same region to eliminate biases. Arranging it this way, it is clear that for both November and December, there are more comments for movies released at an earlier date - which follows logical reasoning.

rish_dutton
EXPLANATION:

Background - on GMAT, as a rule of thumb, I just look for general correlation and not really a statistical formula applied to it. This idea of correlation has generally worked for me, and I would summarize it as "if one quantity increases, the other quantity should generally increase" for two quantities to be positively correlated. This does not necessarily mean that every quantity should increase. I would recommend practicing correlation problems specifically in order to develop that judgment.

(I am not trying to dumb it down - I am just saying that it is impractical to actually use the statistical formula for correlation on the GMAT. My approach may yield a false positive.)

Question 1 -

This is tricky phrasing until you read it carefully. It is basically asking for the correlation between years since the movie was released with the number of December comments. Normally you would just sort the "year of release" and see that the lower years of release correspond with the higher number of December comments, and think that this is a negative correlation. This would make you mark "not a positive correlation". However, we need to look at it in the opposite way.

Reason: the number of years since a film is released is longer for the smaller "years" because we are looking at dates. Older releases that happened in the 1900s have been released for a longer time than newer releases in the 2000s. This makes the correlation with the December comments positive. In other words, films released in 2000s have fewer December comments, and have been released for fewer years than films released in the 1900s.

Question 2 and Question 3 -

Generally, as the November comments are increasing, December comments are increasing too. Same as December and November-December combined.

Hence all three are positively correlated.

(If you have doubts, you can actually go through with the number crunching on Excel and figure out the actual correlation, and on the GMAT it will always work out right. But there is no way that the GMAT wants to test you on that. It just needs you to be able to reasonably get insights out of the presented data through quick, sharp statistical mental math)
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MartyMurray Bunuel pls could u provide explanation for this. I plotted the graph and still dont see the correlation
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The table provides some data regarding a film discussion website. For each film about which comments were first posted on the website in November, the table indicates the year in which the film was first released, the country in which it was produced, the number of comments about that film posted on the website in November, in December, and in November and December combined.

FilmYear first
released
Produced in
(country)
November
comments
December
comments
November and
December comments
(combined total)
Aaltra2004Belgium101
Atanarjuat 2001Canada303
Chi Bi2008China112
Chun can1933China549
Dosti1964India437
l! diavoio1963Italy101
Lad ri di saponette 1989Italy213
Le placard 2001France213
Mababangong Bangungot 1977Philippine224
Mera Naam Joker1970India325
Nosferatu 1922Germany459
Pauline à la plage1983France112
Peau d'âne1970France 101
Swing!1938United States 235
The Boy and the Bridge 1959United Kingdom 134
The Long, Long Trailer 1953United States112
Ugetsu1953Japan 6713
Yasha-ga-ike1979Japan112

Based on the table, for each pair of sets of values described below, select Positive correlation if there is a positive correlation between the two sets of values. Otherwise, select Not a positive correlation.



A correlation shows how two variables move together. A positive correlation means that when one variable increases, the other generally increases as well.

The numbers of December comments; the numbers of years since the films were first released

To check this, we sort the films by year of first release from newest to oldest, meaning the years since release increase. As the years since release increase, the general trend in December comments also rises, from about 1 to about 5. For a positive correlation, we do not need the increase in every single case, only a general upward trend. For reference, the correlation between these two variables is approximately 0.68, which indicates a clear positive correlation.

The numbers of November comments; the numbers of December comments

Here we sort by November comments from least to greatest and check the December comments. As November comments increase from 1 to 6, the general trend of December comments also increases from 1 to 7. Again, we only need an overall upward pattern, not a perfect one. For reference, the correlation coefficient here is about 0.80, showing a strong positive correlation.

The numbers of December comments; the combined-total numbers of November and December comments

Now we sort by December comments from least to most and check the combined totals. As December comments increase from 0 to 7, the combined totals rise steadily from 1 to 13. This is a clear positive relationship. For reference, the correlation coefficient is about 0.96, confirming a very strong positive correlation.

All three pairs show a positive correlation.
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