Question

A car manufacturer collects data on the number of gallons of gasoline left in the gas tank after driving for different numbers of miles. The manufacturer creates a scatter plot of the data and determines that the correlation coefficient is −0.92.Select each true statement based on this correlation coefficient.g

Answer 1

- A correlation coefficient of -0.92 implies that:

1. As one variable is increasing, the other variable is decreasing.

2. Since the correlation is close to -1, there is a strong correlation between the variables.

3. Since the correlation is -0.92, there is a negative correlation between the variables.

4. Since correlation coefficient measures the linear relationship between variables, a correlation of -0.92 implies that there is very good reason to believe that a linear correlation/relationship exists between both variables.

Final Answer

The answers are:

1, 2, and 4