USE MATLAB

Write a script program that addresses the following:

$($a$)$ Assign the data for distance and amplitude to column vector variables x and y$,$ respectively.

$($b$)$ Take the natural logarithm of the amplitude data and assign to the variable yp$.$

$($c$)$ Assuming a linear fit model, use the polyfit command on the yp vs$.$ x data to find the best$-$fit values m and b in yp $=$ mx$+$ b$.$ Compute the predicted values for this model and assign to variable yp$\_$linear.

$($i$)$ Use fprintf to display these values with a message that they were obtained using polyfit.

$($d$)$ Create a plot of the linearized amplitude yp vs$.$ distance data x $($as blue circle points$).$ In the same figure, plot the predicted amplitude yp$\_$linear vs$.$ distance data x $($as a dashed red line$).$

$($i$)$ Label the horizontal axis as $$Distance$$ and vertical axis as $$Natural Log Amplitude$.$

$($ii$)$ Add a title to the figure as $$Linearized Sound Amplitude Plot$.$

$($iii$)$Add a legend to the figure with labels $$Linearized data$$ and $$Linear fit$,$ respectively.

$($e$)$ Assuming an exponential fit model, use the found values m and b in part $($d$)$ to determine the values a and c in y $=$ ae$^(-$cx$).$ Compute the predicted values for this model and assign to variable yp$\_$exp.

$($i$)$ Use fprintf to display these values with a message that they were obtained from m and b$.$

$($f$)$ Create a second plot of the original amplitude y vs$.$ distance data x $($as blue asterisk points$).$ In the same figure, plot the predicted amplitude yp$\_$exp vs$.$ distance data x $($as a solid red line$).$

$($i$)$ Label the horizontal axis as $$Distance$$ and vertical axis as $$Amplitude$.$

$($ii$)$ Add a title to the figure as $$Sound Amplitude Plot$.$

$($iii$)$Add a legend to the figure with labels $$Original data$$ and $$Exponential fit$,$ respectively.

$($g$)$ Use the exponential fit model to predict the sound amplitude at a distance of x$=5.$

$($i$)$ Use fprintf to display a message with the amplitude value predicted at this distance