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The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally believed that they will win. Comparing the location of the game and the number of wins, a correlation coefficient of −0.91 is calculated. What would this imply about the football team winning at home?

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.

2.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.

3.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.

4. There is no causation and almost no correlation between the football team playing at home and winning.

Respuesta :

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.

For more on correlation coefficients, you can check https://brainly.com/question/19560394

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