A spreadsheet should be completed for each calculation that is being made[1]

Only need to fill in the cells of color															Constants
															K	85
1. Write equation that is being used							V	=	KCpsqrt(deltaPT/(PaM))						Cp	0.84
1. Write equation that is being used							V	=	KCpsqrt(deltaPT/(PaM))

2. Uncertainty Sources					deltaP		T	Pa	M
2. Uncertainty Sources
				x_i[2]	25		78	29	29

			y =		108.7220217
			y =		108.7220217



4. Systematic Uncertainties				u	0.1		0.2	0.01	0.001
4. Systematic Uncertainties				u²	0.01		0.04	0.0001	0.000001	0	0	0	0	0

				x_i + u(x_i)	25.1		78.2	29.01	29.001	0	0	0	0	0
				y(x_i + u(x_i)	108.94		108.8613	108.7033	108.7201472


5. Determine Sensitivity				c	2.1723		0.69649	-1.874033	-1.874469138
5. Determine Sensitivity				c²	4.7188		0.485098	3.512	3.513634549	0	0	0	0	0



6. Level of Covariance			A	r	0		0.5	0.2	0.2[3]
6. Level of Covariance							0	0.1	-0.1
								0	-0.1
									0
* Covariance is symmetrical so only upper triangular needs to be calculated
			B	r*u(x_i)u(x_k)	0		0.01	0.0002	0.00002
							0	0.0002	-0.00002
								0	-0.000001
									0

			C	c_i*c_k	0		1.512964	-4.070906	-4.071853696
							0	-1.305245	-1.305548737
								0	3.512816958
									0
	Sum of the product B * C for each column
							0.01513	-0.001075	-5.88389E-05



7. Combined Uncertainty					0.0472		0.019404	0.000351	3.51363E-06	0	0	0	0	0

				1.2332647



8. Expanded Uncertainty				3.4240988
8. Expanded Uncertainty


	Confidence Interval		=	0.95
	Degrees of Freedom (n-1)		=	4
	Sample Variance		=	1.2


	Y:	V	=	108.7	±	3.4240988

[1]

kaita: Each calculation has an uncertainty that goes along with it, these uncertainties can be combined together using the root sumed square method (RSS).

[2]

kaita: Mean value

[3]

Coefficient Matrix for the Level of Covariance:
These values must be determined for each pair of parameters r(i,k) for which i is the row and k is the column.