Omptimizing the Correlation Coefficient

[number0]

Homework Statement

I uploaded a picture to describe the problem.

Oh yes, if anyone is wondering, the constant "c" = Var(R2) = 0.0046 .

Homework Equations

The Attempt at a Solution

I uploaded my attempt at the solution. However, my method took me forever to get the answer, if I tried to do the calculations. If this was a testing environment, I am not sure if I will have enough time to answer the question. I do not know if there is any SIMPLE methods out there to answer this question! Can anyone please provide me with any tips or hints to do this problem the most efficient and clear-cut way? Thank you so much.

 

[mighty2000]

Hello there,

Thank you for sharing your attempt at the solution. It seems like you have put in a lot of effort into solving this problem. I would suggest trying to simplify the problem by breaking it down into smaller steps. Here are some tips that may help:

1. Start by clearly defining the problem and identifying what is given and what is required. This will help you focus on the relevant information and avoid getting overwhelmed.

2. Use the given constant "c" to your advantage. It is always helpful to have a known value in a problem.

3. Look for any patterns or relationships in the given data. This can help you come up with a strategy or formula to solve the problem.

4. Use diagrams or graphs to visualize the problem. This can help you understand the problem better and come up with a solution.

5. Don't be afraid to ask for help or clarification. Sometimes discussing the problem with someone else can give you a new perspective and help you find a solution.

I hope these tips will be helpful to you. Good luck!