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.

Data Description :

System measures used:

lread $-$ Reads $($transfers per second $)$ between system memory and user memory

lwrite $-$ writes $($transfers per second$)$ between system memory and user memory

scall $-$ Number of system calls of all types per second

sread $-$ Number of system read calls per second $.$

swrite $-$ Number of system write calls per second $.$

fork $-$ Number of system fork calls per second.

exec $-$ Number of system exec calls per second.

rchar $-$ Number of characters transferred per second by system read calls

wchar $-$ Number of characters transfreed per second by system write calls

pgout $-$ Number of page out requests per second

ppgout $-$ Number of pages, paged out per second

pgfree $-$ Number of pages per second placed on the free list.

pgscan $-$ Number of pages checked if they can be freed per second

atch $-$ Number of page attaches $($satisfying a page fault by reclaiming a page in memory$)$ per second

pgin $-$ Number of page$-$in requests per second

ppgin $-$ Number of pages paged in per second

pflt $-$ Number of page faults caused by protection errors $($copy$-$on$-$writes$).$

vflt $-$ Number of page faults caused by address translation $.$

runqsz $-$ Process run queue size $($The number of kernel threads in memory that are waiting for a CPU to run.

Typically, this value should be less than $2.$ Consistently higher values mean that the system might be CPU$-$bound.$)$

freemem $-$ Number of memory pages available to user processes

freeswap $-$ Number of disk blocks available for page swapping.

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usr $-$ Portion of time $(\%)$ that cpus run in user modeProblem $1-$ Define the problem and perform exploratory Data Analysis

$-$ Problem definition $-$ Check shape, Data types, statistical summary $-$ Univariate analysis $-$ Multivariate analysis $-$ Use appropriate visualizations to identify the patterns and insights $-$ Key meaningful observations on individual variables and the relationship between variables

$8$

Problem $1-$ Data Pre$-$processing

Prepare the data for modelling: $-$ Missing Value Treatment $($if needed$)-$ Outlier Detection $($treat$,$ if needed$)-$ Feature Engineering $-$ Encode the data $-$ Train$-$test split

$5$

Problem $1-$ Model Building $-$ Linear regression

$-$ Apply linear Regression using Sklearn $-$ Using Statsmodels Perform checks for significant variables using the appropriate method $-$ Create multiple models and check the performance of Predictions on Train and Test sets using Rsquare, RMSE & Adj Rsquare.

$8$

Problem $1-$ Business Insights & Recommendations

$-$ Comment on the Linear Regression equation from the final model and impact of relevant variables $($atleast $2)$ as per the equation $-$ Conclude with the key takeaways $($actionable insights and recommendations$)$ for the business