$3.$ How reliably does an inverted yield curve anticipate a recession? How far in advance? Plot

from $1970($as in Figure $7\mathrm{.}7$A$)$ the difference between the $10-$year Treasury yield $($FRED code:

GS$10)$ and the $3-$month Treasury bill rate $($FRED code: TB$3$MS$).$ Discuss the variability of the

time between an inversion of the yield curve and the subsequent recession.

Hint: Enter $$GS$10$ into the FRED search box. Select the $$Edit Graph$$ button and at the $$Customize data$$ search box, enter $$TB$3$MS$.$ When the full name appears, click it and then push the $$Add$$ button. In the formula box, subtract variable $($b$)$ from variable $($a$),$ a$-$b$,$ and then push the $$Apply$$ button. Use the box for the starting observation date $($to the left of the $$Edit Graph$$ button$)$ to start the plot at January $1970.$