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 \\(\hat{y} = 31x + 1501\\). if a mother’s weight is 70 kg, the infant’s birth weight can be estimated as \\(\\_\\_\\_\\_\\_\\_\\) g.

a. 48,701
b. 3671
c. 46
d. 1718

Explanation:

Step1: Identify the given values

We are given the regression equation $\hat{y} = 31x + 1501$, and the mother's weight $x = 70$ kg.

Step2: Substitute x into the equation

Substitute $x = 70$ into the equation $\hat{y} = 31x + 1501$. So we calculate $31\times70 + 1501$.
First, calculate $31\times70 = 2170$. Then add 1501: $2170 + 1501 = 3671$.

Answer:

B. 3671