Lincoln Ilsley:
Does the distance a player is from the hoop have anything to do with the percentage of shots that will go in?
I will measure 30 different shots, all a straight shot away from the hoop, stepping back a foot after five shots.
The two variables are the percentage of shots made, and of course the distance from the hoop.
I will measure it after school during our basketball shoot around.
I feel like it is going to have a moderately strong association, and the type of association will be negative.

Number of feet away from the hoop
Shots out of 5 Made
1
5
2
4
3
5
4
4
5
4
6
5
7
3
8
4
9
5
10
5
11
4
12
3
13
4
14
4
15
3
16
5
17
3
18
3
19
4
20
3
21
3
22
2
23
1
24
3
25
2
26
2
27
1
28
0
29
0
30
1



Screen Shot 2017-11-28 at 10.51.12 AM.png
Correlation between Feet Away from Hoop and How many times did I make x Shots is:

-0.83079672

Correlation Coefficient is:
Screen Shot 2017-11-28 at 10.54.47 AM.png
RED LINE= best fitted

Frequency of Number of Shots Made: = var 2
Screen Shot 2017-11-28 at 10.57.07 AM.png


Simple linear regression results:
Dependent Variable: Number of Shots made; variable 2
Independent Variable: Feet away from hoop; variable 1
var2 = 5.3425287 - 0.1403782 var1
Sample size: 30
R (correlation coefficient) = -0.83079672
R Sq = 0.69022319
Estimate of error standard deviation: 0.84255871

Least Square Regression Equation:
5.3425287 - 0.1403782= 5.2021505

Residual Point of View:
After looking at my data, graphs and all of the equations, it is obvious that the further you are away from the hoop as a basketball player, the less possibility you have of making the shot. In my data you see that I made a very high percentage of shots from 1-5 feet away from the hoop, and I then stated to regress all the way until I was a whole 30 feet away, which is a very long shot, that even professionals have trouble making. Each and every step I take away from that hoop, I have a lesser chance of making the basket every foot away.

Conclusion:
The data shows that there is moderately strong association and the type is definitely negative. I am just thinking about what if I took shots not just straight on from the hoop, if I had taken shots from different locations, the association would have been stronger. I was surprised to see that their are not many outliars, if you look below, you will notice a picture of me collecting the data.



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