Correlation coefficients are used to solve this question, leading to the following answer:
1. The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning.
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Correlation coefficients:
They measure the relationship between variables, the closer |r| is to 1, the stronger the relationship is.
If the coefficient is positive, there is a positive relationship(both variables change in the same direction)
If the coefficient is negative, there is a negative relationship(the variables change in opposite directions).
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In this question:
r = -0.91
Negative, so opposite directions, which can be explained as for example, the more the team travels(plays away games), the less games it wins.
|r| = 0.91, which is quite close to 1, so a significant relationship.
Negative relation means that the scatter plot would be represented by a straight line with a negative slope, and the correct answer is:
1. The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning.