The flow velocity in a water tunnel is measured with a pitot tube connected to a pre?sure transducer. The dynamic pressure decreased by the pressure transducer is related to the velocity, V, by pd- (pVA2)/2. The electrical output of the pressure transducer, E, was found to be related to the flow velocity by: E-aVA2 +b. To calibrate the measurement system the following measurements were made.

col1 Transducer Output 2.85 3.61 4.415.00 9.24 (volts)
col2 Velocity (m/s) 0.77 1.14 1.38 1.48 2.28 Determine (use 3 significant digits minimum): The constant a and b. using the summations The standard error of the fit. The width of the 95% confidence interval for the voltage, E, in Volts (assume a well- controlled independent variable) The static sensitivity in terms of a and b The correlation coefficient of the fit, r