I have some measurements below:
a1 = 96.0
c1 = 1.25
a2 = 60.0
c2 = 0.50
It is suggested that 'c' is proportional to 'a' cubed. Show whether this is true within a 12% tolerance. I'm not sure how to go about this. I guess you find the constant of proportionality first so:
1.25/96^3 = 1.4 x 10^-6
0.50/60^3 = 2.3 x 10^-6
Can you just add 12% onto the lower number: 1.4 x 10^-6 x 1.15 = 1.61 x 10^-6. Therefore it is not within the tolerance?
Another way I thought would be to use one of the constants calculated and use it to find the expected value in the other set of values:
If we take 1.4 x 10^-6 to calculate the expected value of c2:
c2 = 1.4 x 10^-6 x 60^3 = 0.30
But we know c2 to be 0.50 so then we can do:
(50-30)/30 = 67%
Is that right, that seems really high to me?
...we were on a break