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- From: Mathematics, Statistics and Probability
- Posted on: Mon 18 Jan, 2016
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1. Baseball stadiums vary in age, style, size, and in many other ways. Fans might think of the size of the stadium in terms of the number of seats; while the player might measure the size of the stadium by the distance from the homplate to the centerfield fence. Note: CF = distance from homeplate to centerfield fence.
Using the Excell add-in construct your scatter diagram with the data set provide below.
Is there a relationship between these two measurements for the “size” of the 30 Major League Baseball stadiums?
a. Before you run your scatter diagram answer the following: What do you think you will find? Bigger fields have more seats? Smaller fields have more seats? No relationship exists between field size and number of seats? A strong relationship exists between field size and number of seats? Explain.
b. Construct a scatter diagram and include it in your answer.
c. Describe what the scatter diagram tells you, including a reaction to your answer in (a).
As expected, the scatter digram shows the data points scattered randomly. R^2 = 0.049 means poor fit and the correlation coefficient is Ö0.049 = 0.22, which means there is poor correlation between field size and number of seats. Our answer in (a) is confirmed by the scatter diagram.
2. Place a pair of dice in a cup, shake and dump them out. Observe the sum of dots. Record 2, 3, 4, _ , 12. Repeat the process 25 times. Using your results, find the relative frequency for each of the values: 2, 3, 4, 5, _ , 12.
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