Question

Analysis of the data from 25 mothers indicates that an​ infant's birth weight​ (g), y​, can be estimated by a​ mother's weight​ (kg), x​, using the regression equation y equals=31x +1501. If a​ mother's weight is 70​ kg, the​ infant's birth weight can be estimated as​ ________ g.

Answer 1

Answer:  the​ infant's birth weight can be estimated as​ $3,671$ g.

Step-by-step explanation:

Given the following regression equation:

$y=31x +1501$

You know that "x" represents the mother's weight​ in kilograms and "y" represents  the infant's birth weight in grams.

If a mother weigths 70 kilogram, you can identify that:

$x=70$

Therefore,  in order to estimate the infant's birth weight, you need to substitute that value into the regression equation provided in the exercise. Then:

$y=31(70) +1501\\\\y=3,671$

Then, the infant's birth weight can be estimated as 3,671 grams.