A small company is monitoring sales advertisements spending on Facebook versus the number of new customers they are acquiring each month. The marketing person managed to prepare the following table summarizing last three months activity.

Spend $                Number of new customers

50                                           20

100                                         85

125                                        100

Notes:

1-Round your calculations to three decimal digits

2- Formulas: Linear regression for one variable: Y= α +βX

                       β = ∑ (X_i - X_m)(Y_i-Y_m)  / ∑ (X_i-X_m)²

                        α= Y_m -   β*X_m

                      where  Xm is the mean(average) of X values and Ym is the mean (mean) of Y values

1. Find the least square regression line for the above data i.e. the parameters (intercept and slope) of the best fit line

      List the following intermediate values of the calculation in the response:

1.Xm  =   

2.Ym  =   

3.∑(x-x_m)*(y-y_m) = 

 4.∑(x-x_m)^2 =  

 5.Beta(β)    = 

 6.Alpha( α) =