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.

A perfect negative linear relationship is represented by the symbol -1; no linear relationship is represented by the symbol 0; and a positive manifestation of the same phenomena is represented by the symbol 1.

According to the given scatter plot, there appears to be a moderately negative linear relationship between the two variables. One rises as the other falls.

It appears that the points are grouped around a line that is going downward. Consequently, -0.91 seems to be the correlation coefficient for this data out of the options given. A strong negative correlation is indicated by a value close to -1.

In conclusion, I believe that the most likely correlation coefficient for this dataset is -0.91. The scatterplot’s significant negative linear pattern supports this decision.

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