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 −0.91 is calculated. What would this imply about the football team winning at home?

Answer 1

Answer:

A win or loss of the the team at the home location cannot be interpreted from the correlation coefficient.

Step-by-step explanation:

The correlation coefficient between two categorical variables is a numerical measure of the strength and direction of the relationship between them.

It is denoted by r. The value of r ranges from -1.00 to 1.00.

A correlation of  1.00 indicates a strong positive relationship between the variables. It also indicates a positive slope for the regression line, i.e. as the value of one variables increases the value of other also increases.

A correlation of  -1.00 indicates a strong negative relationship between the variables. It also indicates a negative slope for the regression line, i.e. as the value of one variables increases the value of other decreases.

The correlation coefficient does not imply causation, i.e. it does implies that a change in one variable is because of the other variables just so they are correlated.

A change in the variables can be due to many other factors.

In this case the correlation coefficient between location of game and number of wins is computed as -0.91.

The correlation coefficient implies a negative relation between the variable.

But it does not implies that the number of wins of the team is affected by the location of the game.

So a win or loss of the the team at the home location cannot be interpreted from the correlation coefficient.