Which is most likely the correlation coefficient for the set of data shown? –0.91 –0.35 0.35 0.91

Question:- Which is most likely the correlation coefficient for the set of data shown? –0.91 –0.35 0.35 0.91

Answer:- The correlation coefficient shows the degree and direction of linearity between two variables. It varies from -1 to 1.

-1 stands for a perfect negative linear relationship; 0 means no linear relationship, whereas 1 is characterized by a positive version of the same phenomenon.

Taking a look at the scatter plot provided, it seems that there is some moderate negative linear relationship between both variables. As one goes up, the other comes down.

The points seem to cluster around a downward trending line. Therefore, out of the choices provided -0.91 appears to be the correlation coefficient for this data. A value near to -1 shows a strong negative correlation.

In summary, I would choose -0.91 as the most probable correlation coefficient for this dataset. This choice is backed up by the strong negative linear pattern in the scatterplot.