Show that the least squares estimates of the slope and

Chapter , Problem 10

(choose chapter or problem)

Show that the least squares estimates of the slope and intercept of a line may be expressed as

                                                    \(\hat{\beta}_0=\bar{y}-\hat{\beta}_1 \bar{x}\)

and

                                               \(\hat{\beta}_1=\frac{\sum_{i=1}^n\left(x_i-\bar{x}\right)\left(y_i-\bar{y}\right)}{\sum_{i=1}^n\left(x_i-\bar{x}\right)^2}\)