Scientists have long been interested in the question of how body mass determines characteristics such as metabolic rate. tobacco hornworm caterpillars (manduca sexta) were chosen to study this relationship because they maintain their overall shape throughout the five stages of larval development. for theoretical reasons researchers were interested more specifically in the relationship between the logarithm of the metabolic rate y = log ( m r ) and the logarithm of the body mass x 1 = log ( b m ) . both experimental and theoretical research have suggested the general relationship m r = α ( b m ) β . however, there is still considerable debate on whether the scaling exponent is β = 2 3 or β = 3 4 . use the multiple regression model with two explanatory variables: the continuous variable x 1 = log ( b m ) and an indicator variable reflecting instar stage ( x 2 = 1 for instar 5 , x 2 = 0 for instar 4 ).

find a 95% confidence interval for the slope parameter β for caterpillars during stage 4 . (enter your answers rounded to four decimal places.)