Hi there :)
Question :
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☆ 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.
☆ The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, but causation cannot be determined.
☆ The scatter plot would not be represented by a line of best fit with a negative slope. There is a weak correlation between the football team playing at home and winning.
☆ There is no causation and almost no correlation between the football team playing at home and winning.
Direct Answer- <em><u>Option A</u></em>
<em>Answer Explanation -</em>
<u>r = -0.91</u>
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. Also, Negative relation means that the scatter plot would be represented by a straight line with a negative slope, and so,<em><u> correct answer is Option A</u></em>
<em>Method explanation :-</em>
Correlation coefficients measure the relationship between variables, the closer | r | is to 1, the stronger the relationship will be.
If the coefficient is positive, then there will be a positive relationship. If the coefficient is negative, then there is a negative relationship.
