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Consider a simple linear regression model where total variation = 1235, explained variation = 1068, and b1 = -2.44. What is the sample correlation coefficient between x and y?Multiple choice question.- 0.9300.865- 0.8650.930

Question

Consider a simple linear regression model where total variation = 1235, explained variation = 1068, and b1 = -2.44. What is the sample correlation coefficient between x and y?Multiple choice question.- 0.9300.865- 0.8650.930

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Solution

To find the sample correlation coefficient between x and y, we can use the formula:

r = sqrt(explained variation / total variation)

Given that the explained variation is 1068 and the total variation is 1235, we can substitute these values into the formula:

r = sqrt(1068 / 1235)

Calculating this expression, we find that the sample correlation coefficient is approximately 0.865.

Therefore, the correct answer is 0.865.

This problem has been solved

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