Spreading Rate of spilling liquid. A DuPont Corp. Engineer calculated the mass (in pounds) of a 50- gallon methanol ...

     Spreading Rate of spilling liquid. A DuPont Corp. Engineer   calculated the mass (in pounds) of a 50- gallon methanol spill at various   time points. He started measuring at 0 minutes (when the spilling began) and   frequently after that for the next 60 minutes. The data is here.   TIME MASS   0 6.64   1 6.34   2 6.04   4 5.47   6 4.94   8 4.44   10 3.98   12 3.55   14 3.15   16 2.79   18 2.45   20 2.14   22 1.86   24 1.6   26 1.37   28 1.17   30 0.98   35 0.6   40 0.34   45 0.17   50 0.06   55 0.02   60 0  

     a. Do the data   indicate that the mass of the spill tends to diminish as time increases? If   so, how much (on average) will the mass diminish each minute?   b. Is there sufficient evidence for a   linear relationship? Test using 5% significance level.   c. Find and interpret r and r2 .   d. Find an estimate for the mean mass of   spills when 15 minutes have elapsed.