MaktheBlu3Potato
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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?

A 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.

B 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.

C 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.

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

Sagot :

Using correlation coefficients, it is found that the correct option is:

B 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.

What is a correlation coefficient?

  • It is an index that measures correlation between two variables, assuming values between -1 and 1.
  • If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
  • If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.
  • It also is the slope of the line of best fit.

In this problem, the correlation coefficient of −0.91, meaning that there is a strong inverse relation between the location of the game and the team's winning percentage, that is, the team is more likely to win on the road, hence, option B is correct.

To learn more about correlation coefficients, you can take a look at https://brainly.com/question/26161249

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