To determine the nature of the linear correlation between the variables in the data set with a correlation coefficient of 0.05, we'll need to analyze the value of this correlation coefficient.
Correlation coefficients (r) can range from -1 to 1, where:
- [tex]\( r = 1 \)[/tex] indicates a perfect positive linear correlation.
- [tex]\( r = -1 \)[/tex] indicates a perfect negative linear correlation.
- [tex]\( r \)[/tex] close to 0 indicates no or very weak linear correlation.
- [tex]\( 0.5 < r < 1 \)[/tex] indicates positive moderate to strong linear correlation.
- [tex]\( 0.7 < r < 1 \)[/tex] more specifically can indicate strong positive linear correlation.
Given the correlation coefficient is 0.05:
- This value is very close to 0.
- A correlation coefficient close to 0 implies a very weak or almost no linear correlation between the variables.
Based on this analysis, the appropriate classification for a correlation coefficient of 0.05 is:
- Almost no linear correlation
Therefore, the correct answer is:
O Almost no linear
