Question

1. a set of data is shown to have a correlation coefficient of 0.15. what does this signify about the relationship between the data? there is a strong negative linear correlation between the x values and y values. there is a weak positive linear correlation between the x values and y values. there is a strong positive linear correlation between the x values and y values. there is a weak negative linear correlation between the x values and y values.

Explanation:

Step1: Recall correlation coefficient range

The correlation coefficient $r$ ranges from - 1 to 1. Values close to -1 indicate strong negative correlation, values close to 1 indicate strong positive correlation, and values close to 0 indicate weak correlation.

Step2: Analyze given coefficient

Given $r = 0.15$. Since $r>0$, it is a positive - correlation. And since $|r|=0.15$ is close to 0, it is a weak correlation.

Answer:

There is a weak positive linear correlation between the x values and y values.