Final answer:
The regression equation provided in context is ŷ = -266.8863 + 0.1656x, which does not match any of the options A, B, C, or D. It is important to have matching slope and y-intercept with the given regression, indicating a possible error in the provided options.
Step-by-step explanation:
To determine the regression equation from the options provided, we need to compare them with the standard linear equation form y = mx + b, where m represents the slope (the change in y as x increases by one unit), and b is the y-intercept (the value of y when x is zero).
Based on the additional context provided, the correct regression equation is ŷ = -266.8863 + 0.1656x. However, none of the options A, B, C, or D exactly match this equation. If a typo is involved and we consider only the positive or negative signs of the slope and the y-intercept, option A y = 0.4783x + 6.3174 has a positive slope and a positive y-intercept, which disagrees with the negative y-intercept in the provided equation.
It is essential when determining a regression equation to ensure that the slope and y-intercept provided in the options closely match those of the desired regression equation. Because none of the given options match the correct regression equation, there seems to be an error or discrepancy that needs to be addressed.