Answer
a) 9.7t+0.4=s
b)The line fits the data really well as the line is close to all data points.
c)24.65
Work Step by Step
a)This is found by entering data into a graphing calculator. First press "STAT", then "Edit" and enter t as L1 and s as L2. Press "STAT" again and select "CALC" and "LinReg(ax+b)". Press enter to get the linear line equation.
b)Plot the line by entering 9.7*L1+0.4 (using Y= function) and plot the data point by choosing "2nd" "Y=" and turning on the plot of L1 v. L2.
c)9.7*2.5+0.4=24.65
Plug in 2.5 seconds for t to get the estimation of speed at 2.5 seconds.