Determining the goodness of fit of an equation

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You are estimating the cost of optical sensors based on the resolution of the sensors. You decide to calculate the coefficient of determination (R2) as part of determining the goodness of fit of an equation. Using the preliminary calculations above, calculate the R2 and determine its meaning.

[Image Description: Summation of (Yi - Ybar)2 = 147172, Summation of (Yhat-Ybar)2 = 125000, Summation of (Y-Yhat)2 = 22172]

 (Yi - y)2 = 147172    (Y-y)2 = 125000   (Y-Y)2=22172

a. 84.93% of the variation in the radius is being explained by the cost

b. 15.07% of the variation in the resolution is being explained by the cost

c. 84.93% of the variation in the costs is being explained by the resolution

d. 15.07% of the variation in the cost is being explained by the resolution

Reference no: EM132466937

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