Question

making sure i did them right. please answer all 4.

From theoretical considerations, it is suspected that the rate of flow from a fire hose is proportional to some power of the pressure at the nozzle. Do the following data confirm this observation? Get the least-squares values for the exponent and the proportionality factor Q1. Flow Rate 94 118 147 180 230 Pressure 10 16 25 40 60 These data represent solubility of n-butane in liquid anhydrous hydrofluoric acid. Fit to the equation S=ae" using the method of least squares. (This is important in a process that converts n-butane to i-butane, which gives a higher octane number to gasoline.) Q2. T, F S, wt, % 2.4 3.4 7.0 11.1 19.6 Find the values of constants a and b to obtain the required relationship. 77 100 185 239 285 Q3. Find the least-squares line that fits the following data, assuming that the x-values are free from error: Y 5.04 8.12 10.64 13.18 26.20 20.04 The data shown are the results of a tensile test of a steel specimen, where Y is elongation in thousands of an inch that resulted when the tensile force was X thousands of pounds. Fit the following data with (i) a linear model, (ii) a quadratic model, and (ii) an exponential model. Make a complete assessment of the results and provide your conclusion which model fits the data best. Q4· X 0.8 1.6 3.1 4.46.3 7.9 9.2 Y 2.8 4.9 6.5 8.1 8.8 9.1 8.9

Answer 1