Use the rnorm() function to create a vector of 150 observations drawn from a N(0,1) distribution (call this vector x), and another vector of 150 observations drawn from a N(0, 0.2) distribution (call this vector Error). Use these to create a vector y according to the model Y = -1.5 + 0.8 X + Error. Consider this data to answer questions below:

Fit a least squares linear model to predict y using x. How do o and ? ₁ compare to the actual values of ?₀ & ? ₁ . What are the 95% confidence intervals for o and ? ₁ ? what is the prediction interval for a case with x = 1?