Test audiences screened five 3-minute previews of a certain movie. The movie contains both drama and comedy, but the previews were customized to show differing percentages of comedic and dramatic scenes (measured by screen time). The test audiences were asked, Do you think the preview is funny? and How likely are you to see the movie on the weekend it opens? The position of the center of each bubble indicates the percent of comedy (C) in the previews and the percent of test audience members who found the previews funny (F), and the greater the bubble’s size the greater the average reported likelihood (L) of their seeing the movie on the opening weekend.
Select the option from each drop-down menu that creates the most accurate statement on the basis of the information provided.
If the correlation between C and L were reversed (from positive to negative or vice versa) and the correlation between C and F remained the same, the most significant change in the graph's appearance would be to the __________ of the bubbles.C, percent of comedy, increases as we go from left to right on the graph.
L, the average reported likelihood of seeing the movie on the opening weekend, is represented by the size of the bubbles, with greater likelihood represented by greater size.
Scanning the bubbles, we see that, as we go from left to right on the graph, the bubbles decrease in size.
So, C increases from left to right while L decreases from left to right.
Thus, C and L are negatively correlated.
So, to reverse the correlation between C and L, we have to change the graph so that either C decreases from left to right or L increases from left to right.
The statement says "the correlation between C and F remained the same." So, we have to leave C as it is on the graph and F as it is on the graph. So, the positions of the bubbles would remain the same.
So, we have to change the graph so that, as we go from left to right, L increases. In that case, rather than decrease in size from left to right, the bubbles would increase in size from left to right.
Thus, what would change on the graph is the diameters of the bubbles.
Choose
diameters.
If the correlation between C and L were reversed (from positive to negative or vice versa) and the correlation between C and F remained the same, the largest bubble would be the one __________.This statement is about the same scenario the first statement is about, in which the correlation between C and L is reversed and the correlation between C and F remains the same.
So, once again, the only change is to the sizes of the bubbles.
As discussed for the first statement, after the change, the bubbles would increase in size from left to right. So, the largest bubble would be the farthest to the right.
Choose
farthest to the right.
Correct answer: diameters,
farthest to the right