For a sample of five married couples, the variables x = age of younger partner and y = age of older partner were recorded. The data show that SSX= 112, SXY=159, SSY=278.8, x=32.7, and y=32.2.
a) Calculate the correlation coefficient for this data
b) Determine the linear regression equation for predicting the age of the older partner based on the age of the younger partner
c) Test the significance of the relationship between the age of the younger partner and the age of the older partner
d) Calculate the coefficient of determination to assess the strength of the relationship between the age of the younger and older partners