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Height of Basketball Player vs Foul shooting Percentage

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by

Raisa Vazquez

on 2 March 2015

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Transcript of Height of Basketball Player vs Foul shooting Percentage

Height of Basketball Player vs Foul shooting Percentage

Question?
How does the hieght of a basketball player affect his foul shooting percentage?
Hypothesis
I predict that the taller the player, the higher his foul shot percentage will be.
Equation: Manual
Two points ON LINE: (75, .82) &(76, .813)
Slope: Formula for slope is y2-y1/ x2-x1
.813-.82= -0.007
76-75=1
-0.007=slope
Point slope form: y-y1=m(x-x1)
With numbers plugged in: y-0.82=-0.007(x-75)
To turn into slope intercept form you must first multiply everything outside the parenthesis to m.
y-0.82= -0.007x +0.525
Then solve for y and you'll get ...
Methods:
"NBA ALL STAR." Complete NBA All-Star Game Players List Ordered by Height. N.p., n.d. Web. 02 Mar. 2015.<http://www.nba-allstar.com/players/lists/players-by-height.htm
DATA COLLECTED
Calculated Linear Regression Line:
Y=-0.0022625X + 0.9822912
Players
1. Roy Hibbert
2. Kobe Bryant
3. LeBron James
4. Isaiah Thomas
5. Kevin Durant
6. Dwyane Wade
7. Carmelo Anthony
8. Jeremy Lin
9. Nick Young
10. Derrick Rose

Foul Shots (%)
Hibbert- .830
Bryant- .813
James- .731
Thomas- .871
Durant- .854
Wade- .741
Anthony- .797
Lin- .766
Young- .892
Rose- .788
Height (inches)
Hibbert- 86
Bryant- 76
James- 80
Thomas- 76
Durant- 71
Wade- 76
Anthony- 80
Lin- 75
Young- 79
Rose- 75


Independent Variable: Hieght of player
Dependent Variable: Foul Shots made
Importance of Study
It is important to know whether a players height affects his foul shooting so that we know how fair the game is. This is mostly beneficial to recruiters looking for the best players.
ESPN. ESPN Internet Ventures, n.d. Web. 02 Mar. 2015.<http://espn.go.com/nba/statistics/player/_/stat/free-throws/sort/freeThrowPct>
We used these websites to obtain our data.
Y= -0.007X + 1.345
Interpretations:
Y-intercept: 0.9822912
The y-in represents the foul shot percentage when the height is 0.
X-intercept: 1399.555733
The height required for the foul shot % to be zero.
Slope: -0.0022625
For every inch taller, the foul shot % decreased by -0.0022625.
Conclusion
By:Raisa Vazquez
R- Correlation Coefficient
r= -0.2033673365
Correlation is a weak negative
The moment of Truth
The data did not support my hypothesis. As the height of the basketball player increased, the Foul shot % decreased.
Confidence
In my opinion, my trend line was accurate because its equation came close to the regression line's calculated equation.
Interpolation
Suppose a player was 85 inches tall, what would his foul shooting percentage be?
y= -0.0022626(85)+.982291
y= -.192321+ .982291
y= .78997
His foul shot percentage would be .78997
Extrapolation
Suppose a player's height was 91 inches. What would his foul shooting percentage be then?
y= -0.0022626(91)+.982291
y= -0.2058966+ .98229
y= 0.7763
His foul shot percentage would be .7763.
Causation
It is causation because the foul shot %is caused by the NBA player's height. Also because the correlation between the two variables is very weak.
Real life connection
People can use these results to find out if a specific player has an advantage over other players because of his height. Also, NBA recruiters can use this information to seek for the players who are most likely better at making foul shots.
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