Q$\mathrm{.}1$: Given a dataset that represents the relationship between the number of years of work experience $($independent variable$)$ and the monthly salary $($dependent variable$)$ of employees. Your goal is to build a simple linear regression model to predict the monthly salary based on the years of work experience.

$\backslash$table$[[$Years of Experience,Monthly Salary$],[1,3000],[2,3500],[3,4000],[4,4500],[5,5000]]$

Calculate the coefficients $($slope and intercept$)$ for the linear regression model.

Interpret the meaning of the slope coefficient in the context of the problem.

Predict the monthly salary for an employee with $6$ years of work experience.