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555-605 Level|   Graphs|   Math Related|            
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Erjan_S
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Erjan_S
During a four-day period, a height measurement and a weight measurement were recorded shortly after delivery for each baby born in a particular hospital. The 19 babies in the study were divided into two groups, Group A and Group B. The chart shows the length, in centimeters (cm), and weight, in kilograms (kg), for each of the 19 babies.

Based on the given information, use the drop-down menus to most accurately complete the following statements.

The correlation between length and weight for the babies in the study is
negligible
strongly positive .
strongly negative

Is there a rule to decide on correlation? What I see here is that two babies with height 47 weigh differently and again at weight 48 and 4 babies with different weights at height 51 where two are much heavier, does not it contradict strong correlation?

HiErjan_S,

To find the correlation, observe the overall trend rather than individual values. You have to oberve the overall direction of the given values. In the given example its clear that height and weight are strongly positively correlated.
Check the following link:
https://www.statisticshowto.com/directio ... sociation/

Hope it helps.
Reviving this old thread....my issue with this question is that it's not really that strong. There's a few outliers that any academic would then question the entire dataset and need more data to make a real 'strong' conclusion (the question choices are 'Strong correlation' or none).

So, is the goal of any GMAT IR question to spot correlation to just think like someone who is just barely looking at data, or as a data scientist would? Just trying to figure these kinds of questions out,
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The correlation is strongly positive. Potentially such type of problems would be easier to solve for those who are familiar with statistics, specifically regression models. If you try to formulate a linear equation basing on the figures above you would find that the trend is upward sloping showing general strong positive correlation.
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Official Explanation

1. The correlation between length and weight for the babies in the study is:

Among all of the babies in the study, the graph shows that greater lengths tend to correspond to greater weights. This indicates a strongly positive correlation between length and weight.

The correct answer is strongly positive.

2. If a baby with weight less than 3.5 kg were selected at random, the probability that the baby would be a part of Group A is_____________.

In the graph there are 4 blue circles and 6 triangles below the horizontal line at 3.5 kg. This indicates that 10 babies in the study weighed less than 3.5 kg, and that of these 10, 4 were in Group A. Thus, the probability that the randomly selected baby was a part of Group A is 4/10=0.40.

The correct answer is 0.40.
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Erjan_S


During a four-day period, a height measurement and a weight measurement were recorded shortly after delivery for each baby born in a particular hospital. The 19 babies in the study were divided into two groups, Group A and Group B. The chart shows the length, in centimeters (cm), and weight, in kilograms (kg), for each of the 19 babies.

Based on the given information, use the drop-down menus to most accurately complete the following statements.

1. The correlation between length and weight for the babies in the study is:

(A) negligible
(B) strongly positive
(C) strongly negative.


2. If a baby with weight less than 3.5 kg were selected at random, the probability that the baby would be a part of Group A is_____________.

A. 0.33
B. 0.40
C. 0.44
D. 0.60
E. 0.67


Attachment:
IR_IBN00867_img_001.png

but there are many babies who weighted less when height was more.
how can we say strongly positive??
if we draw a graph connecting each point, it increases and decreases through out the values,
hence it shouldn't be - strongly positive.
Can anyone please help?
Need an expert opinion here. Bunuel ReedArnoldMPREP RonTargetTestPrep
Thanks
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Short video solution here (1:06):


 
­
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ganand
Erjan_S
During a four-day period, a height measurement and a weight measurement were recorded shortly after delivery for each baby born in a particular hospital. The 19 babies in the study were divided into two groups, Group A and Group B. The chart shows the length, in centimeters (cm), and weight, in kilograms (kg), for each of the 19 babies.

Based on the given information, use the drop-down menus to most accurately complete the following statements.

The correlation between length and weight for the babies in the study is
negligible
strongly positive .
strongly negative

Is there a rule to decide on correlation? What I see here is that two babies with height 47 weigh differently and again at weight 48 and 4 babies with different weights at height 51 where two are much heavier, does not it contradict strong correlation?
HiErjan_S,

To find the correlation, observe the overall trend rather than individual values. You have to oberve the overall direction of the given values. In the given example its clear that height and weight are strongly positively correlated.
Check the following link:
https://www.statisticshowto.com/directi ... sociation/

Hope it helps.
Reviving this old thread....my issue with this question is that it's not really that strong. There's a few outliers that any academic would then question the entire dataset and need more data to make a real 'strong' conclusion (the question choices are 'Strong correlation' or none).

So, is the goal of any GMAT IR question to spot correlation to just think like someone who is just barely looking at data, or as a data scientist would? Just trying to figure these kinds of questions out,
­Totally agree with you here. There are some outliers obviously. If they phrase the answer choice a bit differently, I can live with that. 
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It is probably due to structure of GMAT that IR does not count towards total score that there is little interest in IR questions... probably a growing trend for EA acceptance by leading business will change that

Posted from my mobile device
­
Damn! Do you have a crystall ball or what?
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How can we say that this is "strongly positive" ? KarishmaB GMATinsight chetan2u Can you please explain the first question ?
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How can we say that this is "strongly positive" ? KarishmaB GMATinsight chetan2u Can you please explain the first question ?

sayan640 - I would appreciate if you didn't mention the answer (strongly positive) in the query. It makes me go in with a bias and then I keep wondering whether confirmation bias is at play in my thinking here. Though, I admit, in this question it didn't matter since there is only one suitable option.

We see that there is certainly a positive correlation. The trend line is obvious and the data points are close to the trend line. There is only one option with positive correlation and that is "strongly positive". So that is correct. An r of 0.6 to 0.8 is considered "strong" and looking at the data, it does seem to be a case of strong correlation, not "weak" and not "very strong" either. But they don't ask us to make that call because we can't actually calculate r.


Here is a discussion on correlation: https://youtu.be/Zx-PysHlhGM
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