Say that you put the set of tiles shown below into a bag and conduct a series of trials in which you draw one tile randomly from
the bag, record the color, and replace it. The table below shows the number of times in each set of trials that you drew a blue tile. Round tiles: 5 purple, 6 orange, 2 yellow, 4 red, 1 white, 10 blue, 5 black, 3 green. Trial 1 2 3 4 5 # of Draws 54 36 80 22 75 # of Blues 18 11 20 4 32 Between the theoretical probability that you will draw a blue tile and the experimental probability that you will draw a blue tile, which is greater, and how much greater is it? Express all probabilities as percentages to two decimal places, and express differences by number of percentage points (for example, 12% is 2 percentage points greater than 10%). a. The theoretical probability is 2.78 percentage points greater than the experimental probability. b. The theoretical probability is 1.49 percentage points greater than the experimental probability. c. The experimental probability is 4.06 percentage points greater than the theoretical probability. d. The experimental probability is 2.17 percentage points greater than the theoretical probability.
We see that the overall trend is going from up to down. If you were to draw a best line of fit, it would have a negative slope. Therefore, our correlation is negative.
