Find the sample correlation coefficient for the following data.
A) .8911
B) .9124
C) .9822
D) .9556

Question

Find the sample correlation coefficient for the following data. 
A) .8911 
B) .9124 
C) .9822 
D) .9556

Quizplus · Accepted Answer

Since we are not given the actual data, we cannot compute the sample correlation coefficient, but we can use the choices to determine the best fit. The sample correlation coefficient ranges from -1 to 1, with values closer to -1 or 1 indicating a stronger correlation and values closer to 0 indicating a weaker correlation. Since all the choices are positive values, we know that the correlation is positive. A value of .9822 would indicate a very strong correlation, but may be too high to be realistic. A value of .8911 would indicate a strong correlation, while a value of .9556 or .9124 would indicate a slightly weaker correlation. Based on these factors, the best choice is B with a correlation coefficient of .9124.

Find the Sample Correlation Coefficient for the Following Data