Please show a problem solving process for partial credit.

Case $1$

JM Computer Services assembles customized personal computers from generic parts. The company was formed by two part$-$time Barton students, John and Mary, and operates mostly at night, using other part$-$time students for labor. As John and Mary buy parts in volume at discount from a variety of sources whenever they see a good deal, it is important that accurate forecasts of demand be developed so that they know how many components to purchase and stock. Data on the demand for JM$\text{'}$s computers have been accumulated for $12$ months and are shown in the following table:

Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

Demand $10074808274901008694112104110$

Find the trend line $($Trend line equation$).$ What is the value of slope $(\backslash$beta $\_1)$ and intercept $(\backslash$beta $\_0)?$