Question

A simple linear regression was created with the objective to predict teen birth rate, the birth rate per 1000 females 15 to 17 years old, using the poverty rate. The data used was the teen birth rate and the poverty rate of 2002 from the 50 states and the District of Columbia. The birth rate per 1000 varies from 10 to 50 and the poverty ratio varies from 5% to 25%. The regression equation is Birth Rate - 4.267 + 1.372PovertyRate The poverty rate in Pennsylvania was 12.2 and the birth rate per 1000 females 15 to 17 years old was 17.2, what is the residual (error) for Pennsylvania? 17.2 +3.8054 -3.8054 21.0054

Answer 1

Answer

Residual = Observed Value - Predicted Value. ............................................................................................... (1)

Given,

Equation of regression line is: Birth Rate = 4.267 + 1.372 Poverty Rate ........................................................ (2)

Poverty Rate = 12.2 ........................................................................................................................................ (3)

(3) in (1) gives: Predicted Value. = 21.0054 .................................................................................................... (4)

Given  Observed Value = 17.2 .........................................................................................................................(5)

(1), (4) and (5) => Residual = - 3.8054 Third Option Answer

DONE