You are estimating the cost ($K) of optical sensors based on the resolution of t

Question

You are estimating the cost ($K) of optical sensors based on the resolution of the sensor (i.e. how small of an object it can detect). Using the preliminary calculations from a data set of 8 sensors, determine the equation of the line. (Round your intermediate calculations to 3 decimal places)

Y = 2575     X=80     XY=6857.5     X2=161    Cost = - 53.067 + 513.376 (Resolution)    Cost = 29.566 + 26.218 (Resolution)    Cost = 26.218 + 29.566 (Resolution)    Cost = 513.376 + (- 53.067) (Resolution) You are estimating the cost ($K) of optical sensors based on the resolution of the sensor (i.e. how small of an object it can detect). Using the preliminary calculations from a data set of 8 sensors, determine the equation of the line. (Round your intermediate calculations to 3 decimal places)

Y = 2575     X=80     XY=6857.5     X2=161    Cost = - 53.067 + 513.376 (Resolution)    Cost = 29.566 + 26.218 (Resolution)    Cost = 26.218 + 29.566 (Resolution)    Cost = 513.376 + (- 53.067) (Resolution)

Explanation / Answer

2575=8a+80b

6857.5=80a+161b

multiplying the first equation by 10,

25750=80a+800b

6857.5=80a+161b

subtracting the two equations we get

18892.5=639b

b=29.5657

subsitituing for b in any one eqution, we get a as

a=26.2177

equation is

y=26.2177+29.565x

Cost = 26.218 + 29.566 (Resolution)

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