A STAT 300 instructor believes that the average quiz score is a good predictor of final exam score. A random sample of 5 students produced the following data where x is the average quiz score and y is the final exam score. Provide justifications and citations for your responses.
X 80 50 60 100 70
Y 145 150 130 180 120
(a) Find an equation of the least squares regression line.
(b) Based on the equation from part (a), what is the predicted final exam score if the average quiz score is 90?