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How to Calculate the Coefficient of Determination

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You are estimating the cost of optical sensors based on the POWER OUTPUT of the sensor. You decide to calculate the coefficient of determination (R^2) as part of determining the goodness of fit of an equation. Using the preliminary calculations below, calculate the R^2 and determine its meaning. Σ(Yι - Ῡ)² =147172 Σ(Ŷ - Ῡ)² = 132369 Σ(Y - Ŷ)² =14804

a) 89.94% of the variation in the power is being explained by the cost.

b) 10.06% of the variation in the cost is being explained by the power.

c) 10.06% of the variation in the power is being explained by the cost.

d) 89.94% of the variation in the cost is being explained by the power.

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The solution provides a step by step method for the calculation of Coefficient of Determination.

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