Question

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).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 56What 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?

Answer 1

Complete Question

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The rest of the question

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?

Answer:

a

The predicted number of years a 40 year old will wait before remarrying is
`Time = 4.99`

b

The value of the residual for a 40 year old is
`t = 0.99 \ years`

c

Based on the print out , we can say that the time and the age has a linear relationship

And looking the R-sq we can say the 43.7% of time variation is due to age

Explanation:

From the regression equation

`Time = 0.03 + 0.124 Age`

And from the question we are told that Age is 40 years so

`Time = 0.03 + 0.124 (40 )`

`Time = 4.99`

Therefore the predicted time 40 year old will wait for 4.99 years before remarrying

From the question,the study found that the average 40 year old waits 4 years before remarrying,

So the residual for a 40 year old is mathematically evaluated as

`t = 4.99 - 4`

`t = 0.99 \ years`

Based on the print out , we can say that the time and the age has a linear relationship

And looking the R-sq we can say the 43.7% of time variation is due to age