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Owner: edwinlo
Created: Jun 09, 2010
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800m race winning time

I took the 800m race winning times from the file and perform the similar analysis. I found the linear regression to be:

X800m = 126.02685 - 0.010984848 year

So it has a negative slope as well, showing improvements year over year.  However, the correlation coefficient is small (= -0.1216 ).  With only 10 data points, it is clear that any reasonable alpha value we choose (0.01, 0.05), it fails to conclude a correlation.

Result 1: 800m race stats   [Info]
Summary statistics:
 Column n Mean Variance Std. Dev. Std. Err. Median Range Min Max Q1 Q3 X800m 10 104.167 1.1963345 1.0937707 0.3458807 104.055 3.32 102.58 105.9 103.45 105.08

Result 2: 800m Scatter Plot   [Info]

Result 3: 800m Simple Linear Regression   [Info]
Simple linear regression results:
Dependent Variable: X800m
Independent Variable: year
X800m = 126.02685 - 0.010984848 year
Sample size: 10
R (correlation coefficient) = -0.1216
R-sq = 0.014793364
Estimate of error standard deviation: 1.1515061

Parameter estimates:
 Parameter Estimate Std. Err. DF T-Stat P-Value Intercept 126.02685 63.072433 8 1.9981289 0.0807 Slope -0.010984848 0.031694163 8 -0.34658903 0.7378

Analysis of variance table for regression model:
 Source DF SS MS F-stat P-value Model 1 0.1592803 0.1592803 0.12012395 0.7378 Error 8 10.60773 1.3259662 Total 9 10.76701

Result 4: 800m Simple Linear Regression   [Info]