Answer: the infant's birth weight can be estimated as [tex]3,671[/tex] g.
Step-by-step explanation:
Given the following regression equation:
[tex]y=31x +1501[/tex]
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:
[tex]x=70[/tex]
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:
[tex]y=31(70) +1501\\\\y=3,671[/tex]
Then, the infant's birth weight can be estimated as 3,671 grams.
Answer:
Step-by-step explanation:
Given:
[tex]y=31x+1501[/tex]
Analysis of the data from 25 mothers
Mother's weight: [tex]70\ kg[/tex]
Step 1 of 2
To find the estimated birth weight of infants
Follow the equation [tex]y=31x+1501[/tex]
[tex]x[/tex] representing the mother's weight in kilograms
[tex]y[/tex] representing infant's weight in grams
Step 2 of 2
However, there could be various different elements that may impact birth weight, this shortsighted regression model [tex]y=31x+1501[/tex] underlines that a baby's born weight is by all accounts straightforwardly corresponding to the weight of the mother.
Here, mother's weight is : [tex]70\ kg[/tex]
Therefore,
[tex]y=31(70)+1501[/tex]
[tex]y=3671\ g[/tex]
Hence, the birth weight of the infants can be estimated as [tex]3671\ g[/tex]
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