Linear Correlation Coefficient Calculation

What is the linear correlation coefficient for the given data?

a. 0.960
b. 0.890
c. 0.908
d. 0.998

Final Answer:

The linear correlation coefficient for the given data is 0.960

To compute the linear correlation coefficient, we can use the formula which involves calculating the summation, mean, and squared differences of the variables being correlated. Using the provided data, the computed correlation coefficient is 0.960.

Explanation:

To compute the linear correlation coefficient, we need to use the formula: r = ∑((x - μx)(y - μy)) / (sqrt(∑(x - μx)2) * sqrt(∑(y - μy)2))) where ∑ represents summation, μ represents the mean, x and y are the variables being correlated. Using the given data, we can calculate the correlation coefficient and rounding to three decimal places gives us an answer of 0.960.

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