Illinois State University Mathematics Department


MAT 312: Probability and Statistics for Middle School Teachers

Spring 1999
9:35 - 10:50 am TR STV 350A
Dr. Roger Day (day@math.ilstu.edu)



Assignment: Due Thursday 11 February 1999


 

Developing 1-7: Runs Scored and Games Won (p 19)

Here is a TI-83 scatter plot of the data comparing wins and runs scored in 1993 by 14 American League baseball teams. Note that the window dimensions are [65,100] on the horizontal scale and [625,950] on the vertical scale.

The scatter plot displays a moderately strong positive relationship. That is, as an American League team's games won increases, so does runs scored, for the 1993 season.

Developing 1-8: Names and Shoe Lengths (p 20)

Here is a TI-83 scatter plot of the data number of consonants in a name with shoe lengths, for 25 students. Note that the window dimensions are [0,7] on the horizontal scale and [20,35] on the vertical scale.

The scatter plot displays a non-existent relationship between the two data sets. There seems to be no patterns or direction to the scatter plot. If an ellipse were to be drawn around the points it would be close to being a circle.

On the linear correlation scale provided with the problem on page 20, the third choice, "No Correlation" is the best choice. Numerically, the correlation between the two data sets is close to 0.

College Womens' Basketball Data: Tennessee vs Mississippi

Here is a scatter plot showing field goals made compared to total points. This scatter plot exhibits a strong positive relationship. As the number of field goals made increases, so does the total points. This is shown in the scatter plot as the points move right and up across the plot.

College Womens' Basketball Data: Tennessee vs Mississippi

Here is a scatter plot showing minutes played compared to personal fouls. This scatter plot shows no apparent relationship.

Some players played only a few minutes and had one or no fouls, while others played 20 minutes or longer and also had one or no fouls. Likewise, the span of minutes played for those with two or three personal fouls is from just more than 10 minutes to more than 30 minutes. There is little evidence to suggest that there is any relationship between the number of minutes played and the total number of personal fouls for a player.