Use MATLAB

The lifetime (Y) is thought to be shorter as the speed of the lathe (X) increases. There are twenty total observations, ten for each tool type (A vs. B).

Y1 = [18.73; 14.52; 17.43; 14.54; 13.44; 24.39; 13.34; 22.71; 12.68; 19.32]; % This is the Lifetime(hr) for tool type A X1 = [610; 950; 720; 840; 980; 530; 680; 540; 890; 730]; % This is the Speed(rpm) for tool type A

Y2 = [30.16; 27.09; 25.40; 26.05; 33.49; 35.62; 26.07; 36.78; 39.45;43.47]; % This is the Lifetime(hr) for tool type B X2 = [670; 770; 880; 1000; 760; 590; 910; 650; 810; 500]; % This is the Speed(rpm) for tool type B

Part 1: Plot the lifetimes (Y) as a function of the lathe speed (X), Then use the full set of twenty data points to fit (using formulas provided) and plot the lifetimes (Y) as a function of the lathe speed (X), Finally, report on the results by computing the SSE for the fitted line.

Part 2: Repeat the previous problem for each of the two sets of data (the A data and the B data). Plot each set of ten points separately (use different symbols) and fit each set with its own fitted line and include the two fitted lines on your plot. Finally, compute the SSE for each line and combine. Compare the results of fitting two lines vs. fitting a single line (previous part of the problem).