Science Bowl Question

📅 MIT Science Bowl Invitational 2020🎓 HS🔄 Round 2#️⃣ Question 14🌟 BONUS✍️ Short Answer

The correlation coefficient between two random variables X and Y is zero. By name or number, identify all of the following three statements which must be true: 1) The variance of X + Y equals the variance of X plus the variance of Y. 2) X and Y are independent. 3) If one performs least-squares linear regression to predict Y from the value of X, one will always predict the same value of Y regardless of X.

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