[EX03-023] Baseball stadiums vary in age, style, size, and many other ways. Fans might think of the size of the stadium in terms of the number of seats, whereas players might measure the size of the stadium by the distance (in feet) from home plate to the center field fence.

Seats CF Seats CF Seats CF 40,000 422 49,166 400 43,000 400 45,050 400 45,200 410 42,000 435 33,871 420 44,321 400 56,500 410 43,368 405 57,545 408 40,800 404 40,625 400 48,500 402 38,127 399 48,678 408 49,625 402 42,531 410 43,662 400 43,500 401 56,133 405 48,876 400 50,381 415 55,777 410 47,000 405 42,059 404 50,062 401 50,516 400 56,000 395 38,902 400 CF  distance from home plate to center field fence Source: http://mlb.mlb.com

a. Is there a relationship between these two measurements for the “size” of the 30 major league baseball stadiums?

b. What do you think you will find? Bigger fields have more seats? Smaller fields have more seats? No relationship between field size and the number of seats? A strong relationship between field size and the number of seats? Explain.

c. Construct a scatter diagram.

d. Describe what the scatter diagram tells you, including a reaction to your answer in part b.