T1. Simple linear regression A linear model with a single predictor is known as a simple linear regression model: Y=150+5133+ i. Write the simple linear regression model in observationindexed form and list the standard assumptions for the error term. ii. Write the model in matrix form. iii. Use the general OLS estimator, (X'X)'IX'Y to nd closed-form expressions for the least squares estimators {3'0 and 31. (Hint: approach this piecewise by calculating (x'x)_1 and X'Y separately; then calculate the product.)