Least squares slope through the origin

Consider the linear regression model $y_i = \beta_1 x_i + \epsilon_i$, $i = 1,2,…,n$, where $\beta_1$ is an unknown parameter, $\epsilon_i$'s are uncorrelated random errors with mean 0 and finite variance $\sigma^2 > 0$. The five data points $(x_1,y_1) = (2,5)$, $(x_2,y_2) = (1,6)$, $(x_3,y_3) = (3,4)$, $(x_4,y_4) = (2,3)$ and $(x_5,y_5) = (4,6)$ yield the least squares estimate of $\beta_1$ to be equal to ________ (rounded off to two decimal places).