Find the equation of the regression line for the given data. Then use this equation to make the indicated estimate. Round decimals in the regression equation to three decimal places. Round estimates to the same accuracy as the given data.

The following table gives the fraction f (as a decimal) of the total heating load of a certain system that will be supplied by a solar collector of area A (in m²). Find the equation of the regression line, and then estimate the fraction of the heating load that will be supplied by a solar collector with area 38m².

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Area, A (m²) Fraction, f 20 30 40 50 60 70 0.22 0.30 0.37 0.44 0.50 0.56 80 0.61