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The table includes points with the \(x\)-coordinates representing the area of the solar panels, in square feet, and the \(y\)-coordinates representing the average measured kilowatt hours of energy collected per day. Using the least-squares method, what is the linear model?

\[ y = x + \]

Answer :

Final answer:

The least-squares method can be used to find the linear model by calculating the slope and y-intercept that minimizes the sum of the squared residuals between the predicted and actual y-coordinates. The x-coordinates represent the area of the solar panels and the y-coordinates represent the average measured kilowatt hours of energy collected per day.

Explanation:

In order to find the linear model of this relationship, you will have to use the least-squares method. This method involves calculating the slope (b) and y-intercept (a) of the line that minimizes the sum of the squared residuals between the predicted and actual y-coordinates. Usually, you can use the formulas b= Σ [ (xi - xm)(yi - ym) ] / Σ [ (xi - xm)^2 ] and a = ym - b*xm to calculate the slope and y-interceptor, where xi and yi are the x-coordinates and y-coordinates of the points in the table and xm and ym are the means of the x-coordinates and y-coordinates. In this case, the x-coordinates are representing the area of the solar panels and the y-coordinates are representing the average measured kilowatt hours of energy collected per day.

Learn more about Least-Squares Method here:

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