# maths using Matlab

Humidity influences evaporation, as a result, the solvent balance of water-reducible paints during sprayout is affected by humidity. A study is conducted to examine the relationship between % humidity (X) and solvent evaporation by % weight (Y ). Summary statistics for the data are: x = 1314.90 y = 235.70 xy = 11,824.44 x2 = 76,308.53 y2 = 2286.07 n = 25 Using these summary statistics: Find the least-squares estimates Î²Ë†0 and Î²Ë†1. Compute the 95% confidence intervals for Î²0 and Î²1. Perform a Î± = 0.05 hypothesis test to determine if solvent evaporation is af- fected by humidity. Compute the R2 for the least-squares line and comment on the results. Data are located in the file spraydata.csv . Use MATLAB to plot the data and the fitted least-squares. Use fitlm() in MATLAB to perform the tasks and provide a printout of your results, comment on the differences between the results obtained using the summary statistics and those obtained via MATLAB. Limit the assessment to TWO A4 sized pages, using 12pt font, and margins no smaller than 1 inch. The document should be formatted as a PDF file. (spraydata.csv) Relative Humidity,Solvent Evaporation 35.3,11.0 29.7,11.1 30.8,12.5 58.8,8.4 61.4,9.3 71.3,8.7 74.4,6.4 76.7,8.5 70.7,7.8 57.5,9.1 46.4,8.2 28.9,12.2 28.1,11.9 39.1,9.6 46.8,10.9 48.5,9.6 59.3,10.1 70.0,8.1 70.0,6.8 74.4,8.9 72.1,7.7 58.1,8.5 44.6,8.9 33.4,10.4 28.6,11.1 assessment 2 Referring to the Week 11 Workshop and the spraydata.csv file, in MATLAB perform the linear regression as follows: Import the data from spraydata.csv Create the X matrix and y vector. Solve for the least squares estimate Î². Compare your results to those obtained in the Week 11 Workshop using the summary statistics and those obtained using fitlm() in MATLAB. Be sure to include your functioning MATLAB code and the resultant output. Con- sider the system of first-order ODE’s: y1² =5y2ˆ’y1+y3, y2² =3y1ˆ’y2+t2, y3² =y3ˆ’ty2. Write out explicitly the matrix-vector representation of this system y(t+h) ‰ˆ Fy(t)+g. Clearly define the elements of y², y, F , and g. Write an algorithm describing how this would be implemented to solve for y(t) given h and y(0). Implement this algorithm in MATLAB to solve for y(1) given h = 0.1 and y(0) = (0, 0, 0)². Plot the results for y1, y2, and y3 versus time. Limit the assessment to TWO A4 sized pages, using 12pt font, and margins no smaller than 1 inch. The document should be formatted as a PDF file. 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