Answer using matlab

Question $3(8$ points$)$

You are tasked with analyzing data collected from a fitness tracker worn by a person during their $10km$ run.

The tracker records the distance walked $($in kilometers$)$ and the corresponding number of total calories burned at

each $km.$ Your goal is to use MATLAB to fit a polynomial curve to the data, visualize the fit, and predict the

number of total calories burned for a given distance. The data is provided in vectors below. For your

convenience, they are also in a text file linked to this assignment on Canvas, so that you can copy this directly

into your script file.

distance $,$

$8\mathrm{.}5,9,9\mathrm{.}5,10$;

calories$\_$burned $,$

$1435,\frac{15}{b}ar(7),1725,1880,2050,2230,2420,2620$;

Analyze the data by doing the following:

Plot the data points for total calories burned vs distance. Label the graph according to ENGR $130$

standards.

Add a best$-$fit line to your plot. Experiment with different degrees of polynomials to find the best fit.

Add a legend to the graph.

Use your data fit to calculate the predicted number of calories burned for a distance of $5$ kilometers and

display the result to the command window with some descriptive text. Report the calories with one

decimal place.

Calculate the difference between the measured total calories at $5$ kilometers and the predicted number of

calories burned for a distance of $5$ kilometers; display the result to one decimal place to the command

window with descriptive text.