Question 6(Multiple Choice Worth 4 points)
(05.07 MC)

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

The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, but causation cannot be determined.
The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, and a causal relationship exists between the team playing at home and winning.
The scatter plot would not be represented by a line of best fit with a positive 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.

Answer:

The scatter plot would closely resemble a straight line with a positive slope, but causation  cannot be determined.

Step-by-step explanation:

Recall that causation and correlation are 2 different things. Say Taller people usually had a name that started with the letter “A” It's a correlation, but a name does not determine the height, so it's not causation. (I took the test and got it right too.)

The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning would be imply about the football team winning at home.

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.

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 0.891 is calculated.

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.

Learn more about straight line here:

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