Demand for oil changes at$$ Garcia's Garage has been as$$ follows:

$$

Month

Number of Oil Changes

January

February

March

April

May

June

July

August

Part $2$

a$.$ Use simple linear regression analysis to develop a forecasting model for monthly demand. In this$$ application, the dependent$$ variable, Y$,$ is monthly demand and the independent$$ variable, X$,$ is the month. For$$ January, let X$1$; for$$ February, let X$2$; and so on$.$

The forecasting model is given by the equation Y

$$

enter your response here

$$

enter your response hereX. $($Enter your responses rounded to two decimal$$ places.$)$