Homework Sourse4 You are estimating the cost K of optical sensors based on
4) You are estimating the cost ($K) of optical sensors based on the resolution of the sensor (i.e. how small of an object it can detect). Using the preliminary calculations from a data set of 8 sensors, determine the equation of the line. (Round your intermediate calculations to 3 decimal places)
Y = 2575
X=80
XY=6857.5
X2=161
Cost = 26.218 + 29.566 (Resolution)
Cost = - 53.067 + 513.376 (Resolution)
Cost = 29.566 + 26.218 (Resolution)
Cost = 513.376 + (- 53.067) (Resolution)
| 4) You are estimating the cost ($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) |
| Cost = 26.218 + 29.566 (Resolution) |
| Cost = - 53.067 + 513.376 (Resolution) |
| Cost = 29.566 + 26.218 (Resolution) |
| Cost = 513.376 + (- 53.067) (Resolution) |
Solution
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)
