Question

the ncaa division 1 mens basketball tournament (\march madness\) has been played since 1939. once the teams are selected for this tournament, the first round of play begins with 64 teams going head - to - head in a single elimination format, meaning that half of the teams are eliminated each round. based on the scatterplot, describe the relationship between the number of teams left in the tournament and the round number.

Explanation:

In a single - elimination tournament like March Madness, the number of teams decreases exponentially with each round. As the round number increases, the number of teams left in the tournament decreases. This is because in each round, half of the teams are eliminated. The scatter - plot likely shows a negative correlation between the round number and the number of teams left, with the number of teams dropping from 64 in the first round to 1 in the final round in a typical 6 - round tournament.

Answer:

There is a negative correlation between the round number and the number of teams left in the tournament. As the round number increases, the number of teams remaining in the tournament decreases in an exponential - like fashion due to the single - elimination format.