A hotwire anemometry system probe inserted into a wind tunne

A hot-wire anemometry system probe inserted into a wind tunnel is used to measure the tunnel\'s centerline velocity, U. The output of the system is a voltage, E. During a calibration of this probe, the data listed in below was acquired. Assume that the uncertainty in the voltage measurement is 2% of the indicated value. Using a linear least-squares regression analysis determine the best fit values of A and B in the relation E^2=A+B*U^0.5. Finally, plot the fit with 95% confidence intervals and data with error bars as voltage versus velocity. Is the assumed relation appropriate?

Velocity(m/s)	Voltage
0.00	3.19
3.05	3.99
6.10	4.30
9.14	4.48
12.20	4.65

Sol)

The Regression model is y=a+bx

From Excel output

The Regreeion model is y=3.44+0.112 (Velocity)

And also 95% CI for Velocity is (0.035,0.188)

SUMMARY OUTPUT

Regression Statistics
Multiple R	0.936897
R Square	0.877775
Adjusted R Square	0.837033
Standard Error	0.232314
Observations	5

ANOVA
	df	SS	MS	F	Significance F
Regression	1	1.162771	1.162771	21.54491	0.018848
Residual	3	0.161909	0.05397
Total	4	1.32468

	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 95.0%	Upper 95.0%
Intercept	3.440012	0.179949	19.11656	0.000313	2.867333	4.012691	2.867333	4.012691
Velocity	0.111838	0.024094	4.64165	0.018848	0.035159	0.188517	0.035159	0.188517

$A hot-wire anemometry system probe inserted into a wind tunnel is used to measure the tunnel\'s centerline velocity, U. The output of the system is a voltage, E$

A hotwire anemometry system probe inserted into a wind tunne

Solution

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