Question

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 −0.11 is calculated. What would this imply about the football team winning at home?

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.
A.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.
B. The scatter plot would not be represented by a line of best fit with a negative slope. C.There is a weak correlation between the football team playing at home and winning, and a causal relationship exists between the team playing at home and winning.
D. There is no causation and almost no correlation between the football team playing at home and winning.

Answer 1

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

Explanation:

A correlation coefficient can be greather than or equal to -1, and less than or equal to 1.

If you have a negative correlation coefficient it means that the correlation between the two variables is a reverse relationship. When one of the variables increase the other one decrease.

The closes the correlation coefficient is to -1 or 1, the correlation is higher,

As -0,11 is not close to -1 it means that the correlation is almost 0 and it is not a correlation between the two variables.

Answer 2

D

Explanation:

Given a correlation coefficient of -.11 the correlation would be extremely weak therefore it would have almost no correlation or causation

Why? Well when the value of the correlation is between -.1 and .1 then the relationship is said to have no correlation

-.11 is very close to -.1 thus meaning it would have pretty much no correlation