The comp$-$activ database comprises activity measures of computer systems. Data was gathered from a Sun Sparcstation $20/712$ with $128$ Mbytes of memory, operating in a multi$-$user university department. Users engaged in diverse tasks, such as internet access, file editing, and CPU$-$intensive programs.

Being an aspiring data scientist, you aim to establish a linear equation for predicting 'usr' $($the percentage of time CPUs operate in user mode$).$ Your goal is to analyze various system attributes to understand their influence on the system's 'usr' mode.