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09 May 2024, 20:50
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6–10, 11–15: Positively correlated
6–10, 16-20: Not positively correlated
16–20, 21+: Positively correlated
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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For each year from 2009 through 2013, the table gives the percentage of participants in a certain pen-pal program who were in each of four age ranges.
For each of the following pairs of age ranges, select Positively correlated if the data given for those two age ranges are positively correlated. Otherwise, select Not positively correlated.
| Year | 6-10 | 11-15 | 16-20 | 21+ |
|---|---|---|---|---|
| 2009 | 14% | 47% | 31% | 8% |
| 2010 | 12% | 45% | 30% | 13% |
| 2011 | 11% | 42% | 32% | 15% |
| 2012 | 9% | 38% | 35% | 18% |
| 2013 | 4% | 39% | 37% | 20% |
For each of the following pairs of age ranges, select Positively correlated if the data given for those two age ranges are positively correlated. Otherwise, select Not positively correlated.
ID: 700262
| Positively correlated | Not positively correlated | |
| 6–10, 11–15 | ||
| 6–10, 16-20 | ||
| 16–20, 21+ |
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Official Answer
6–10, 11–15: Positively correlated
6–10, 16-20: Not positively correlated
16–20, 21+: Positively correlated
22 May 2024, 23:45
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almirab
The table gives us the percentage of participants in a certain pen-pal program who were in each of four age ranges for 5 years.
The question is related to correlation, an area that is very often seen on DI now.
Positive correlation: Maximum entries in two elements being compared move in same direction.
Negative correlation: Maximum entries in two elements being compared move in opposite direction.
Here, we have 5 entries or 4 gaps, so 3 out of these 4 gaps should be in same direction.
(1) 06-10 and 11-15
Sort the table as per 06-10 years, so all 4 gaps increasing.
In 11-15, we have 39>>38<<42<<45<<47, three gaps are increasing, so Positively correlated
(2) 06-10 and 16-20
Sort the table as per 06-10 years, so all 4 gaps increasing.
In 16-20, we have 37>>35>>32>>30<<31, three gaps are decreasing, so Negatively correlated
(3) 16-20 and 21+
Sort the table as per 16-20years, so all 4 gaps increasing.
In 21+, we have 13>>8<<15<<18<<20, three gaps are increasing, so Positively correlated
22 May 2024, 11:49
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Please find below analysis.
Positive correlation between two object means that when object A increase then object B also increases and vice versa, when object B decrease the object A also should decrease.
In the above question statement.
1. 6-10, 11-15
in this it we arrange the 6-10 age group column in ascending order we can clear see that with the increase in % value there is a increase in the % value for 11-15 age group also (except between 2013 and 2012, which we need to ignore as the general tread of data is increasing for both) You can plot this in a line graph and check, it will be clearly visible that this is a positive correlation.
2. 6-10, 16-20
In this if we arrange the 6-10 age group in ascending order then we can clearly see that there is a negative correlation with 16-20 age group (Except between 2010 and 2009 which we can ignore as the general trend is negative correlated) please plot this in a line graph and you will be able to see the trend correctly.
3. 16-20, 21+
in this it we arrange the 16-20 age group column in ascending order we can clear see that with the increase in % value there is a increase in the % value for 21+ age group also (except between 2010 and 2009, which we need to ignore as the general tread of data is increasing for both) You can plot this in a line graph and check, it will be clearly visible that this is a positive correlation.
SuvidhaAgarwal KishoreSuravarapu msondhi - FYI, please let me know if any doubts.
Happy learning
Positive correlation between two object means that when object A increase then object B also increases and vice versa, when object B decrease the object A also should decrease.
In the above question statement.
1. 6-10, 11-15
in this it we arrange the 6-10 age group column in ascending order we can clear see that with the increase in % value there is a increase in the % value for 11-15 age group also (except between 2013 and 2012, which we need to ignore as the general tread of data is increasing for both) You can plot this in a line graph and check, it will be clearly visible that this is a positive correlation.
2. 6-10, 16-20
In this if we arrange the 6-10 age group in ascending order then we can clearly see that there is a negative correlation with 16-20 age group (Except between 2010 and 2009 which we can ignore as the general trend is negative correlated) please plot this in a line graph and you will be able to see the trend correctly.
3. 16-20, 21+
in this it we arrange the 16-20 age group column in ascending order we can clear see that with the increase in % value there is a increase in the % value for 21+ age group also (except between 2010 and 2009, which we need to ignore as the general tread of data is increasing for both) You can plot this in a line graph and check, it will be clearly visible that this is a positive correlation.
SuvidhaAgarwal KishoreSuravarapu msondhi - FYI, please let me know if any doubts.
Happy learning
