Computational Methods in Engineering



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i need to do the homework by using matlab code plz

ENGR 328 Homework 8
Due: 04/04/2019 @ 2:00 pm
Please upload a PDF of your homework including generated plots and any .m files you created.
1. Fit the equation,y = a0 + a1x2, to the data below using v as the independent variable. Determine
the r2 for the fit and comment on the efficacy of the result.
2. Use least-squares regression to fit a straight line to the data below. Along with the slope and
intercept, compute the standard error of the estimate and the correlation coefficient. Plot the data
and the regression line. Then repeat the problem, but regress x verses y, that is, switch the
independent and dependent variables. Interpret your results.
3. The following data were gathered to determine the relationship between pressure and
temperature of a fixed volume of 1 kg of nitrogen. The volume is 10 m3. The molar mass of
nitrogen is approximately 14 g/mol. Employ the ideal gas law pV = nRT to determine R on the
basis of these data. Note that for the law, T must be expressed in kelvins.
4. Linearize the following model and use it to estimate α and β based on the data below. Develop
a plot of your fit along with the data.
5. On average, the surface area A of human beings is related to weight W and height H.
Measurements on a number of individuals of height 180 cm and different weights (kg) give
values of A (m2) in the table below. Show that the power law A = aWb, fits the data reasonably
well. Evaluate the constants a and b, and predict what the surface area is for a 95-kg person.
6. The data below were taken from an experiment that measured the current in a wire for various
imposed voltages. (a) On the basis of a linear regression of this data, determine current for a
voltage of 3.5 V. Plot the line and the data and evaluate the fit. (b) Redo the regression and force
the intercept to be zero.

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