# Problem 6 (2 pts each)

# (a) Set a random vector x of 1000 random numbers from Pois(175). Define y = 0.2*x - 10 + Err,where Err is normally distributed with zero mean and standard deviation of 47.1

# (b) Create simple regression model of y a linear function of x,

print the regression summary, and create scatter-plot of y (on vertical axis) against x (on horizontal axis) together with the regression line.

# (c) State whether with 10% significance we can conclude that y dependslinearly on x. Justify your conclusion!

# (d) Plot the empirical density of the residuals associated with this regression model.

# (e) Write what is the (population) Regression Variance equal to AND what is your best estimate of it from the regression summary?