Benjamin Emerson-
Is the distance from a hoop related to the percentage of shots you will make?
I am measuring 5 shots from 30 different distances from the basket(going back one foot each time) and determining the percentage of made shots.
My two variables are distance from the hoop and percentage of shots made.
I will measure it this weekend when I am in the gym working out and shooting.
The type of association is negative It will be a moderately strong association.

Distance From Hoop (feet)
Shots Made of 5
1
5
2
5
3
5
4
5
5
5
6
5
7
5
8
5
9
5
10
5
11
4
12
4
13
5
14
5
15
5
16
4
17
5
18
3
19
5
20
4
21
5
22
4
23
4
24
3
25
2
26
2
27
2
28
1
29
3
30
1

Screenshot 2017-11-21 at 1.10.52 PM.png


Correlation between Distance From Hoop (feet) and Shots Made of 5 is:
-0.79127817
Correlation Coefficient:Screenshot 2017-11-21 at 1.46.56 PM.png


Coefficient of Determination as %= 63%
Simple linear regression results:

Dependent Variable: Shots Made of 5
Independent Variable: Distance From Hoop (feet)
Shots Made of 5 = 5.8436782 - 0.11679644 Distance From Hoop (feet)
Sample size: 30
R (correlation coefficient) = -0.79127817
R-sq = 0.62612115
Estimate of error standard deviation: 0.80860552

THE CORRELATION DETERMINATION IS 62.61%
THE LEAST SQUARE REGRESSION EQUATION IS 5.84 - 0.11% WHICH MEANS FOR EVERY FOOT AWAY FROM THE HOOP, I HAVE A .11% LESS CHANCE OF MAKING A BASKET.
Parameter estimates:
Parameter
Estimate
Std. Err.
Alternative
DF
T-Stat
P-value
Intercept
5.8436782
0.30280078
≠ 0
28
19.298755
<0.0001
Slope
-0.11679644
0.01705638
≠ 0
28
-6.8476689
<0.0001

Analysis of variance table for regression model:
Source
DF
SS
MS
F-stat
P-value
Model
1
30.659066
30.659066
46.890569
<0.0001
Error
28
18.307601
0.65384289


Total
29
48.966667




Screenshot 2017-11-21 at 2.19.52 PM.png