Consider the model wage ~ educ 1.1 We wish to do a statistical hypothesis test of the claim: "educ predicts wage". We shall use the Student's t-test, with a risk of 5%. Use beta0 for the intercept and beta1 for the slope as notation. In terms of the beta coefficient, what are the null and alternative hypotheses for testing this claim? 1.2 What is the value of the estimate of beta1 for this model? Note you will need to fit the model using lm(). It will be helpful to print the summary of the model fit. 1.3 What is the value of the deviance of the residuals for this model? 1.4 What is the value of the "Residual degrees of freedom" for this model