# How to Calculate the Coefficient of Determination

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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#### Solution Summary

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