emily N Name 1. If a patient is bedridden or has curvature of the spine, J nurse

Question

emily N Name 1. If a patient is bedridden or has curvature of the spine, J nurse will measure a patient's armspan (wingspan) to determine their height. The following table shows the armspans of two patients versus their height. Show all work in the following exercises. Round to the nearest hundredth unless otherwise noted Pt1 Pt 2 Homer armspan (a inches height (h) inches 6693 61.77 Al Name the independent variable. B) Determine the rate of change of the data in the above table. c) Thoroughly describe what the rate of change from your answer in part B means D) Determine the inear model that relates a and h. E) Predict how tall a person will be in inches with an armspan of 65 inches. F) Convert your answer in part E to feet and inches. Round to the nearest inch.

Explanation / Answer

SolutioN1A:

independen variable is

armspan .
Fit a linear regeression height on armspan.

Solution1b:

Code in R to get slope and y inetrcpept

armspan <- c(68.15,62.64)
height <- c(66.93,61.77)
rmod1 <-lm(height~armspan)
coefficients(rmod1)

(Intercept) armspan
3.1089474 0.9364791

height=3.1089474 +0.9364791(armspan)

slope=0.9364791

Solution1c:

slope=0.9364791

change in height/change in armspan =slope

change in height

For 1 inch increase in arm span, the predicted height increases by 0.9364791 inches

Solution1d:

the linear model that relates a and h are:

height=3.1089474 +0.9364791(armspan)

slope=0.9364791

y intercept=3.1089474

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