The electrical engineer has given the data regarding overloading of resistors of in a computer system and the failure times given below:

$\backslash$table$[[$Resistance $($ohms$)$:$,43,29,44,33,33,47,34,31,48,34,46,37],[$Failure rate $($minutes$)$: $32,20,45,35,22,46,28,26,37,33,47,30,]]$

Compare the scatter diagrams of original data and logarithmic transformation of the data. Derive the regression lines of resistance on failure rate and failure rate on resistance. Why there are two regression lines. Obtain the resistance when the failure rate is $40.$