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
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.
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