This homework is worth 15 points, 5 of them are bonus
Problem 1::
Consider the data shown in the following scatterplot:
a) Find the equation for the least squares regression line y=b0+b1x (Hint: remember your precalculus)
b) What is the correlation coefficient r? In your calculation, make use of the equation you found in part a)
Problem 2
Which of the following is not possible, and why?
a) y=23.5+17.9x, 
=5.7, 
=110.9
b) r=-1.25
c) y=-1.5+0.64x, r=-0.55
d) y=5.6+9.1x, x=7.8-4.4y
Problem 3
Consider the following experiment: in a bag there are five balls. Two are blue, two are red and one is green. You (blindly) grab two balls from the bag at the same time. The outcome of the experiment are the colors of the two balls. So for example one possible out come is (r,b), meaning one ball is red and the other is green.
a) Write down the sample space of this experiment
b) Are all the outcomes in the sample space equally likely?
Problem 4
You roll a fair die twice
a) What is the probability that the number on the first roll is different from the number on the second roll?
b) What is the probability that the second roll is a six?
c) What is the probability that the first roll differs from the second by more than 2? (For example a 5 and a 2 or a 1 and a 4)
d) What is the probability that the second roll is an even number?
e) What is the probability that the product of the two numbers is at most 5?