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# Linear Algebra To fit data to an exponential model like y = AeKt, we first use...

## Question

###### Linear Algebra To fit data to an exponential model like y = AeKt, we first use...

Linear Algebra To fit data to an exponential model like y = AeKt, we first use a logarithm to linearize it: . n y n A k t Since A is a constant, so is ln A, and we can write this generically as ln y = co + cit. The table below shows the years different planes were first produced, along with how many displays (gauges, screens, etc.) were present in the cockpit. Year Introduced, y (Year after 1900) Plane Number of Displays, n 35 Douglas DC-3 Lockheed Constellation 35 46 46 59 Boeing 707 77 Aerospatiale Concorde 69 133 Usc the cast-squares method to find the function of the form log n = Co above data c1y that best fits the a) Show the matrix equation for which you are finding an approximate solution as well as the equation you enter in your calculator. On paper, round answers to the nearest hundredth, but use the full accuracy in your calculator. b) Use your results to write the function that is the best fit to the above data. If necessary, round coefficients to three decimal places

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