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Show/Explain in a scatterplot what the relationship between two variables X and Y would look like if there was

(a) a strong negative correlation.

(b) a strong positive correlation.

(c) no correlation.

1 Answer

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Final answer:

A strong negative correlation in a scatterplot is represented by a downward sloping line where as one variable increases, the other variable decreases.

Step-by-step explanation:

In a scatterplot, a strong negative correlation between two variables X and Y would look like a downward sloping line. As the values of variable X increase, the values of variable Y decrease. The points on the scatterplot would be closely clustered around the line.

For example, if X represents the number of hours spent studying and Y represents the test scores, a strong negative correlation would indicate that as the number of hours studying increases, the test scores decrease.

The correlation coefficient, denoted by 'r', would be close to -1 in this case.

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