For children between the ages of 18 months and 29 months, there is approximately a linear relationship between height and age. the relationship can be represented by ŷ = 62.05 + 0.65x where y represents height (in centimeters) and x represents age (in months). joseph is 24.5 months old and is 82 centimeters tall. what is joseph's residual?

Question

Mathematics

Liam Foley

30 October, 21:20

For children between the ages of 18 months and 29 months, there is approximately a linear relationship between height and age. the relationship can be represented by ŷ = 62.05 + 0.65x where y represents height (in centimeters) and x represents age (in months). joseph is 24.5 months old and is 82 centimeters tall. what is joseph's residual?

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Answers (1)

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Matthew Burnett · Answer 1

Residual = 4.025

Step-by-step explanation:

To find the residual, you need to subtract the actual value from the estimated value.

Residual = actual - estimated

We know the actual value, which is 82 centimeters. We need to find the estimated value. We do that by plugging in 24.5 into the equation that is give to us. Notice ŷ has a little hat above it? This means estimated value.

ŷ = 62.05 + 0.65x

ŷ = 62.05 + 0.65 (24.5)

ŷ = 77.975

Residual = actual - estimated

Residual = 4.025