Interhill data 
Distance (m) 




Paies to Snowland hill 
945 




Snowland hill to Irohir 
1020 




Irohir to 3rd hill 
405 




3rd hill to Nankapw 
1385 




Nankapw to 3rd hill 
1385 




3rd hill to Irohir 
393 




Irohir to Snowland hill 
1035 




Snowland to Paies 
945 




1 
ratio 
Level of measure? 
2 
8 
Find the sample size n for the interhill distance data. 
3 
393 
Find the minimum interhill distance. 
4 
1385 
Find the maximum interhill distance. 
5 
992 
Find the range of the interhill distance. 
6 
982.5 
Find the median interhill distance. 
7 
None 
Find the mode for the interhill distance. 
8 
939.13 
Find the sample mean x interhill distance. 
9 
377.39 
St dev 



10 
0.4019 
Find the sample coefficient of variation CV. 
11 
248 
Four bin width? 

12. Bins (x) 
Frequency (f) 
Rel. Freq. p(x) 
641 
2 
0.25 
889 
0 
0 
1137 
4 
0.5 
1385 
2 
0.25 
Sum: 
8 
1 
13 

RF histogram 
14 
bimodal 
What is the shape of the distribution? 

Bin 
Freq 
RF or p(x) 
x*p(x) 


2 
0 
0 
0 


3 
7 
0.44 
1.31 


4 
5 
0.31 
1.25 


5 
4 
0.25 
1.25 


Sums: 
16 
1 
3.81 


15 
3.81 
What is the mean? 



16 
0.0174 
slope 
Interhill data 
Time (min) 
Speed (m/s) 
17 
3.0144 
intercept 
Paies to Snowland hill 
5.4 
2.94 
18 
negative 
sign of corr 
Snowland hill to Irohir 
11.4 
2.79 
19 
0.9849 
correlation 
Irohir to 3rd hill 
13.9 
2.76 
20 
high 
degree of corr 
3rd hill to Nankapw 
23 
2.56 
21 
linear 
linear? 
Nankapw to 3rd hill 
32.1 
2.52 
22 
0.9700 
Coef Det 
3rd hill to Irohir 
34.8 
2.46 
23 
97.00% 
Percent variation 
Irohir to Snowland hill 
42.3 
2.31 
24 
3.01 
start speed at t=0 
Snowland to Paies 
49.9 
2.08 
25 
1.97 
speed at t=60 



26 
slowing down 
What is happening? 



27 
tiring/variable 
Why? 



Some answered "Why is he slowing down?" others answered "Why did I conclude he is slowing down?" 













Is the data nonlinear? There is no obvious curve to the data: the trend line splits data 

left and right. The line appears to well match the data at the endpoints and the data 

at the midpoints. The data shows a runner continously slowing down. 

A residual analysis will help satisfy more statisically advanced readers. 







Time (min) 
Speed (m/s) 
Predicted 
Residuals 
Standard Err 

5.4 
2.94 
2.92 
0.02 
0.0004 

11.4 
2.79 
2.82 
0.03 
0.0007 

13.9 
2.76 
2.77 
0.01 
0.0002 

23 
2.56 
2.62 
0.06 
0.0030 

32.1 
2.52 
2.46 
0.06 
0.0040 

34.8 
2.46 
2.41 
0.05 
0.0025 

42.3 
2.31 
2.28 
0.03 
0.0009 

49.9 
2.08 
2.15 
0.07 
0.0046 





0.0162 

