Report Properties
Owner: 11millj
Created: Oct 12, 2009
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Correlation of Married Couples Ages

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]

Result 2: Simple Linear Regression of Residuals vs. Male Age   [Info]

Result 3: Simple Linear Regression Line of Couples Ages   [Info]

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