I will include the all the commands I used to find the solutions for reference purposes. It is not necessary for you to do this in your assignments. We check these numbers and find them believable so there is no immediate indication of anything unusual. T when I read in the data.
T is unnecessary.
For internal calculations, R is using a higher precision but for final output we don't want to see too many digits. Notice how I asked for 1 row and 5 columns of plots and got all the plots with one for loop. We don't see anything unusual except perhaps for the two extreme values for over65. Let's find out which states these are. We don't see any strongly nonlinear relations indicating that the correlation is a reasonable numerical summary.