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js56154 js56154
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A month ago
Use the following to answer the questions below:

A Division III college men's basketball team is interested in identifying factors that impact the outcomes of their games. They plan to use "point spread" (their score minus their opponent's score) to quantify the outcome of each game this season; positive values indicate games that they won while negative values indicate games they lost. They want to determine if "steal differential" (the number of steals they have in the game minus the number of steals their opponent had) is related to point spread; positive values indicate games where they had more steals than their opponent. The data for the first five games are in the provided table as an example.

Point Spread (y)Steal Differential (x)
47
2-2
-21-2
-41
-92
The correlation between point spread and steal differential for the A dotplot depicts the results of the randomization distribution for 100 samples. The horizontal axis has markings from negative 0.5 to 0.6 in increments of 0.1. The vertical axis ranges from 0 to 10 in increments of 10. A series of dots is plotted vertically for certain markings on the horizontal axis. The dots are plotted as follows: 1 dot above negative 0.42, negative 0.4, negative 0.32, negative 0.31, negative 0.27, and negative 0.26; 2 dots above negative 025; 4 dots above negative 0.24; 2 dots above negative 0.23, negative 0.2, negative 0.19; 1 dot above negative 0.17; 4 dots above negative 0.16, and negative 0.14; 2 dots above negative 0.13, and negative 0.12; 4 dots above negative 0.11; 2 dots above negative 0.09, and negative 0.08; 1 dot above negative 0.07, and negative 0.06; 2 dot above negative 0.05; 1 dot above negative 0.04; 2 dots above negative 0.03; 1 dot above negative 0.02, and negative 0.01; 2 dots above 0.0; 5 dots above 0.01; 2 dots above 0.02; 5 dots above 0.03; 2 dots above 0.004; 3 dots above 0.05, and 0.06; 1 dot above 0.07; 2 dots above 0.08; 3 dots above 0.09; 1 dot above 0.1, 0.11, 0.12, 0.18, 0.19, 0.22, and 0.23; 4 dots above 0.24; 3 dots above 0.25; 2 dots above 0.26; and 1 dot above 0.28, 0.3, 0.37, 0.39, 0.4, 0.45, 0.46, and 0.58. An arrow from the expression, null equals 0, points toward the point, 0.0 on the horizontal axis. All values are approximate. games they played this season is about Assuming that this season was a typical season for the team, they want to test if this sample provides evidence that steal differential is positively correlated with point spread.


Use the provided randomization distribution (based on 100 samples) to estimate the p-value for this sample. Use the p-value to make a decision about these hypotheses. Be sure to word your decision in the context of the problem.

Textbook 
Statistics: Unlocking the Power of Data

Statistics: Unlocking the Power of Data


Edition: 3rd
Authors:
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miemitchmiemitch
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