(Solved): 5. Use least-squares regression to fit a straight line to data given in table ...

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5. Use least-squares regression to fit a straight line to data given in table. Show data and line in the same graph. Give equation of the fitted line. 6. Fit a straight line, a parabola and a cubic equation to the speed power data of a ship. Compare your results. (use matlab, excel etc. to obtain graph and relation) 7. Estimate the first derivative the function \( f(x)=e^{x} \cos x \), at \( x=2.0 \) employing step sizes of \( \mathrm{h}=0.25 \). Use centered finite divided difference formulas with 2 and 4 point. Compare your results with true value. Estimate error, \( \varepsilon \mathrm{t} \).