# linear regression problem

1. A creep test was performed on a wire where the increase in percent strain (e) over time (t) as a constant load is applied is measured as follows: time (min): 1.587 3.088 4.590 6.091 7.592 9.094 % strain: 0.08 0.15 0.20 0.29 0.35 0.42 Determine the linear relation between percent strain and time. What will be the percent strain: at 12 minutes? [note: e = k t] 2. A source of gamma rays was employed to give measured doses of radiation in an experiment. However, the dosage varied with position in the apparatus as shown by the data: position from base point, x (inch): 0. 0.5 1.0 1.5 2.0 3.0 3.5 4.0 dosage, d (105 rads/hr): 1.90 2.39 2.71 2.98 3.92 4.20 4.56 4.88 Generate the linear equation and calculate the missing dosage level at x = 2.5 Inch 3. By measuring the water flow depth (h) over a rectangular weir of width (B) the volume flow rates (Q) in a channel can be calculated using the following weir equation: Q (ft3/s) = [ Cd ( 2 g ) B ] hn (B, h in ft units) Determine the values of Cd and n based on the following laboratory test data for a weir of width 6 inches (g = 32.2 ft/sec2). [note: ln(Q) = ln[ Cd ( 2 g ) B] + n ln(h) Q (ft3/min): 161 123 87 56 30 11 h (inch): 12 10 8 6 4 2 4. Andrade’s equation relating viscosity, Î¼ (N.s/m2) with temperature, T (K) for liquids is given by (B 1/T ) Î¼ = De Develop Andrade’s equation for water using the following data: [note: ln ( Î¼) = ln (D) + B (1/T) ] temperature, T (oC): 0 20 40 60 80 100 viscosity, Î¼ (N.s/m2x10-3): 1.787 1.002 0.6529 0.4665 0.3547 0.2818 Estimate the viscosity of water at 30 oC and calculate the percent true error based on the true value 0.7975Ã—10-3 N.s/m2. For a custom paper on the above topic, place your order now! What We Offer: ¢ On-time delivery guarantee ¢ PhD-level writers ¢ Automatic plagiarism check ¢ 100% money-back guarantee ¢ 100% Privacy and Confidentiality ¢ High Quality custom-written papers Posted on