Question: Illustrate on a graph how the scatterplots would look to make the following statements true.

1. There is a high positive correlation between heights and weight for children 4-10 years old but no correlation within any age span of one year.
2. There is no relationship between the National Merit test and high-school grades for those students who get scholarships to go to college, but there is a positive relationship for all high-school students.
3. Two subgroups have negative correlations, but the combined group has a positive correlation.
4. There is a very consistent relationship between X and Y, but the correlation coefficient is nearly zero.

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