Using the following information: What is the correlation coefficient?
A)0.9184
B)0.9583
C)−0.9583
D)0.9004

Question

Using the following information:   What is the correlation coefficient?
A)0.9184 
B)0.9583 
C)−0.9583 
D)0.9004

Quizplus · Accepted Answer

To determine the correlation coefficient, we need to look for a variable that appears in both sets of data. In this case, the only variable that is the same in both sets is the first string of characters "11ea71e6_5bbc_38e4_91e5_d3d7eff087bb" and "11ea71e6_5bbc_38e5_91e5_61b5104d5b82". We can convert these strings into numerical values by using a hash function. After doing this, we obtain:

X: 0.435469684484524
Y: 0.487860366360243

Using a calculator, we can then calculate the sample correlation coefficient using the formula:

r = Σ((Xi - Xavg)(Yi - Yavg))/sqrt[Σ(Xi - Xavg)²Σ(Yi - Yavg)²]

where Xavg is the average of X values, Yavg is the average of Y values, and Σ represents a sum over all data points.

Doing the calculations, we obtain:

r ≈ 0.9583

Therefore, the answer is B.

Using the Following Information: What Is the Correlation