You conduct a study to determine whether there is a relation

You conduct a study to determine whether there is a relationship between how old a person is when they divorce and the amount of time before he or she remarries. Some computer output from the analysis and a residual plot of the data are presented below. (Values are in years).

What is the predicted number of years a 40 year old will wait before remarrying?

Given that the study found that the average 40 year old waits 4 years before remarrying, what is the value of the residual for a 40 year old?

Based on the printout and the residual plot, does it appear that time and age have a linear relationship? If so, how strong does the predictive relationship appear to be?

Regression Analysis The regression equation is Time = 0.03 + 0.124 Age Predictor Constant Age Coef 0.034 0.123780.04963 2.49 Stdev 1.962 t-ratio 0.02 0.987 0.037 s= 1.659 R-sq=43.7% R-sq(adj)=36.7% 4.0+ i 2.0+ s 0.0+ 2.0+ X --+----Age 24 32 40 48 56

Solution

What is the predicted number of years a 40 year old will wait before remarrying?

Regression line

Time = 0.03+.0.124*age

When age =40,

Time = 0.03+.0.124*40 = 4.99

Predicted value =4.99

Given that the study found that the average 40 year old waits 4 years before remarrying, what is the value of the residual for a 40 year old?

Residual = 4 - 4.99 = -0.99

Based on the printout and the residual plot, does it appear that time and age have a linear relationship? If so, how strong does the predictive relationship appear to be?

Based on residual plot, we may conclude that time and age have a linear relationship.

R square value = 43.7%

43.7% of variation in time is explained by age.