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Owner: 11millj
Created: Oct 12, 2009
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Views: 266
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Results in this report
1. Scatter Plot of Married Couples
2. Simple Linear Regression of Residuals vs. Male Age
3. Simple Linear Regression Line of Couples Ages
4. Simple Linear Regression of Couples Ages
 
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None
 
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Correlation of Married Couples Ages
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1.) From looking at the scatter plot of the relationship of the age of married couples, the form seems to be linear.  The direction of the data is positive.  The strength of the relationship is strong.

2.) After looking at the linear models, the graph of the residuals vs. the male age is pretty scattered throughout.  This tells us that the relationship is linear.  The slope also tells us that for each increase of 1 year in the males age, the female age will increase by .795 years.  The linear model also tells us that when the males age is zero, the females age will be 7.18 years.  The correlation coeffictient is 0.836, which tells us that the reltionship is strong.  Finally, 70% of the variation in males age is explained by linear regression with females age.

Result 1: Scatter Plot of Married Couples   [Info]
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Result 2: Simple Linear Regression of Residuals vs. Male Age   [Info]
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Result 3: Simple Linear Regression Line of Couples Ages   [Info]
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Result 4: Simple Linear Regression of Couples Ages   [Info]
Simple linear regression results:
Dependent Variable: female age
Independent Variable: male age
female age = 7.18441 + 0.79503185 male age
Sample size: 23
R (correlation coefficient) = 0.8369
R-sq = 0.7004776
Estimate of error standard deviation: 3.0241802
Parameter estimates:
Parameter Estimate Std. Err. DF T-Stat P-Value
Intercept 7.18441 5.2418246 21 1.3705933 0.185
Slope 0.79503185 0.11344684 21 7.007968 <0.0001

Analysis of variance table for regression model:
Source DF SS MS F-stat P-value
Model 1 449.15842 449.15842 49.111614 <0.0001
Error 21 192.05898 9.145666
Total 22 641.2174

HTML link:
<A href="http://www.statcrunch.com/5.0/viewreport.php?reportid=9699">Correlation of Married Couples Ages</A>

Comments
Comment by cgapstat on Oct 12, 2009
On #2, don't just say that the graph of the residuals is "pretty scattered throughout". That's not specific enough. Say that the residual plot is "randomly scattered above and below 0"
Comment by 11fruck on Oct 12, 2009
For 1 you should include how the correlation coefficent and the linear regression line could help prove that the relationship of ages of married couples are linear, positive, and strong. Give more support in that answer.
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