This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Step 1: Determine the equation of the regression line. The general equation for the regression line of on is . From the problem statement and the partial solution, we are given the gradient and we have calculated the y-intercept . Substitute these values into the equation:
Step 2: Estimate when . Substitute into the regression equation found in Step 1:
The equation of the line is and the estimated value of when is .
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Determine the equation of the regression line. The general equation for the regression line of y on x is y = ax + b.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.