StatCrunch logo (home)

Report Properties
Owner: edwinlo
Created: Jun 09, 2010
Share: yes
Views: 187
Tags:
 
Results in this report
1. 800m race stats
2. 800m Scatter Plot
3. 800m Simple Linear Regression
4. 800m Simple Linear Regression
 
Data sets in this report
None
 
Need help?
To copy selected text, right click to Copy or choose the Copy option under your browser's Edit menu. Text copied in this manner can be pasted directly into most documents with formatting maintained.
To copy selected graphs, right click on the graph to Copy. When pasting into a document, make sure to paste the graph content rather than a link to the graph. For example, to paste in MS Word choose Edit > Paste Special, and select the Device Independent Bitmap option.
You can now also Mail results and reports. The email may contain a simple link to the StatCrunch site or the complete output with data and graphics attached. In addition to being a great way to deliver output to someone else, this is also a great way to save your own hard copy. To try it out, simply click on the Mail link.
800m race winning time
Mail   Print   Twitter   Facebook

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]
Right click to copy

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]
Right click to copy

HTML link:
<A href="http://www.statcrunch.com/5.0/viewreport.php?reportid=14678">800m race winning time</A>

Comments
Want to comment? Subscribe     Already a member? Sign in.

Always Learning