Predicting Heights

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Middle Finger
•We measured
from the from
the knuckle to
the tip of the
middle finger
•Recorded that
measurement
to the nearest
8th inch
•Possible bias:
nail length
Forearm Length
•We measured
from the elbow to
the very end of
the forearm or the
start of the wrist
•Recorded that
measurement to
the nearest 8th
inch
•Possible bias:
misjudging where
the forearm ends
Wrist Circumference
•We measured the
circumference of the
wrist from the point just
below where your
thumb joins your hand
•We recorded that
measurement to the
nearest 8th inch
•Possible bias:
measuring in the wrong
place, bracelets that
may have gotten in the
way
•Scatter Plot: Positive,
linear, weak
•R2 -14% of the change in
height can determined
by the change in middle
finger length
Scatter Plot: Positive,
moderately weak,
linear
R2 - 27% of the
change in height
can be determined
from the change in
wrist circumference
Scatter Plot: Positive,
Moderate, linear
R2 - 47% of the
change of height
can be determined
by the change is
forearm length

Females: have a
higher y-intercept
but a smaller slope
› R = .44
› Weak Scattered

Males: have a lower
y-intercept but a
higher slope
› R = .10
› Weak Scattered

Females: Higher yintercept but lower
slope
› R = .31
› Weak Linear

Male: Lower yintercept but higher
slope
› R = .24
› Weak Scattered

Females: have a
lower y-intercept but
a higher slope.
› R = .16
› Weak linear

Males: have a higher
y-intercept but a
lower slope.
› R = .54
› Weak Linear

Forearm length was chosen as our best
model because…
› The residual plot is scattered
› With an r = .687, it has the highest correlation
› 47% of the change in height can be
determined by the change in the length of
the forearm


Jimmy
 Brandon
› Forearm length = 10.5
 Forearm length = 10.25
› 3.62(10.5)+32.1=Height
 3.62(10.25)+32.1=Height
› Height = 70.11 inches
 Height = 69.205 inches
› Actual Height = 69.5 inches  Actual Height = 71 inches
› Residual = -.61inches
 Residual = 1.795 inches
Colleen
› Forearm length = 9.5 inches
› 3.62(9.5)+32.1=Height
› Height = 66.49 inches
› Actual Height = 64 inches
› Residual = -2.49 inches

Ms. Arden

Ms. Wilson
› Forearm length = 9 inches
› Forearm length = 10 inches
› 3.62(9)+32.1=Height
› 3.62(10)+32.1=Height
› Predicted Height = 64.68 inches › Predicted Height = 68.3 inches

Mr. Smith

Mrs. Robinson
› Forearm length = 11 inches
› Forearm length = 10 inches
› 3.62(11)+32.1=Height
› 3.62(10)+32.1=Height
› Predicted Height = 71.92 inches › Predicted Height = 68.3 inches
We are somewhat confident in our predictions because even though
this model had the highest correlation out of all of the others, its strength
is still only moderate
Not measuring the same for everyone
 Not knowing where to call the
measurement from

Best body part to predict height would
be the forearm (based on our data)
 How you measure can change your
data

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