Record times in the mile World record times (in seconds) for the mile run are listed i...

Record times in the mile

World record times (in seconds) for the mile run are listed in the table.

(a) Plot the data.

(b) Find a line of the form T = aY + b that approximates these data, where T is the time and Y is the year. Graph this line together with the data on the same coordinate axes.

(c) Use the line to predict the record time in 1985, and compare it with the actual record of 226.3 seconds.

(d) Interpret the slope of this line.