Which value of r represents data with a strong negative linear correlation between two variables?
1) -1.07
2) -0.89
3) -0.14
4) 0.92
The value of r represents the correlation coefficient, which measures the strength and direction of the linear relationship between two variables. For a strong negative linear correlation, the value of r should be close to -1.
Out of the given options, the value of r that represents a strong negative linear correlation is:
1) -1.07
Therefore, the correct answer is option 1) -1.07.
To determine the value of r that represents a strong negative linear correlation between two variables, we need to understand the range of possible correlation coefficients, often denoted by r.
The value of r can range from -1 to 1. A positive value of r indicates a positive linear correlation, where the variables move in the same direction. A negative value of r indicates a negative linear correlation, where the variables move in opposite directions.
To determine a strong negative linear correlation, we should look for a value as close to -1 as possible. In the given options, the closest value to -1 is:
Option 2) -0.89
Therefore, the value of r that represents data with a strong negative linear correlation between two variables is -0.89.