While burning a CD to make a backup copy, Jang's computer displays two pieces of information, time taken and time remaining. The table shows the data over the first six seconds.

$\backslash$table$[[$Time taken $($s$),$Time remaining $($s$)],[1,59],[2,44],[3,29],[4,20],[5,16],[6,14]]$

a$)$ Create a scatter plot of the data using Desmos. Print a copy and include with your assignment. $(3$ marks$)$

b$)$ Describe the correlation between the two variables as it appears on the scatter plot.

$(2$ marks$)$

c$)$ Using technology, determine a line of best fit. Write the equation on your answer page. $(2$ marks$)$

d$)$ Use the equation to predict the time remaining after seven seconds. Do you think your prediction is reasonable and realistic? Why or why not? $(3$ marks$)$

e$)$ Does the $r-$value calculated with the line of best fit confirm your description from part b$)?$ Explain. $(2$ marks$)$