A study was conducted to see if birth weight affects the increase in weight of a newborn between days 70 and 100 of life. The study recorded the birth weight (in ounces) (X) for 12 newborns and then followed up to record the increase in weight between days 70 and 100, and expressed it as the percentage of the birth weight (Y). The regression line between the two variables was found to be Increase (% of birth weight) = 256.3 −1.74 × birth weight Note: The symbol above is a stretched hat symbol to indicate ˆy. (a) Is the direction of relationship between the two variables positive or negative? What does this mean in context of the problem. (b) Interpret the slope of the regression line in context of the problem. (c) Find the predicted increase in birth weight between days 70 and 100 for a baby that weighed 95 ounces at birth.
A study was conducted to see if birth weight affects the increase in weight of a newborn between
days 70 and 100 of life. The study recorded the birth weight (in ounces) (X) for 12 newborns and then
followed up to record the increase in weight between days 70 and 100, and expressed it as the percentage
of the birth weight (Y). The regression line between the two variables was found to be
Increase (% of birth weight) = 256.3 −1.74 × birth weight
Note: The symbol above is a stretched hat symbol to indicate ˆy.
(a) Is the direction of relationship between the two variables positive or negative? What does this mean
in context of the problem.
(b) Interpret the slope of the regression line in context of the problem.
(c) Find the predicted increase in birth weight between days 70 and 100 for a baby that weighed 95
ounces at birth.
Given that:
The regression line between the two variables:
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