1. By Julie Thein, Ricky Benner, and Brittany Bressler
Predicting Heights!
By Julie Thein, Ricky Benner, and Brittany Bressler

2. Procedure
We measured head size, shoulder width, and length of natural smile all in centimeters in order to determine which measurement best predicts a person’s height.
to measure height we had everybody stand against a tape measure affixed to the white board
to measure head size we wrapped the tape measure right above the supraorbital ridge and the below the atlas in the back of your head
to measure shoulder width we held the tape measure at shoulder height and measured from tip to tip
to measure length of natural smile we held the tape measure in front of an open smile and measured corner to corner

3. HEAD SIZE
Form: linear
Direction: positive
Strength: moderate

4. SMILE LENGTH
Form: linear
Direction: positive
Strength: weak

5. SHOULDER WIDTH Form: linear Direction: positive
Strength: moderately strong

6. HEAD SIZE Both positive, but male has a greater slope over female
Both linear
Males have a stronger correlation than females
Female Correlation
Male Correlation
r= 0.176
r= 0.447

7. SMILE LENGTH Both positive, but male has a greater slope over female
Both linear
Males have a stronger correlation than females
Female Correlation
Male Correlation
r= 0.19
r= 0.436

8. SHOULDER WIDTH Both positive, but male has a greater slope over female
Both linear
Males have a stronger correlation than females
Female Correlation
Male Correlation
r= 0.529
r= 0.742

9. BEST MODEL: SHOULDER!
We chose the shoulder width model as the best predictor of height because they share the strongest correlation.
Shoulder measurements most consistently changed in proportion to height while other measurements showed little to no correlation.

10. Residuals Ricky: Julie: BB: ŷ=2.1x+80 ŷ=2.1(40)+80 ŷ=164cm y=175
= 11
Julie:
ŷ=2.1x+80
ŷ=2.1(35)+80
ŷ=153.5cm
y=163
= 9.5
BB:
ŷ=2.1x+80
ŷ=2.1(40)+80
ŷ=164cm
y=162
= -2

11. Predictions Mattern Timmins ŷ=2.1x+80 ŷ=2.1(45.5)+80 ŷ=175.55cm
ŷ=2.1(47.5)+80
ŷ=179.75cm
We are not very confident in these predictions. This is because our correlation was only moderately strong. Mrs. Mattern and Mr. Timmins are fully grown adults and our data only consisted of high school students. Mrs. Mattern would be considered a possible outlier for female shoulder widths; consequently, it might be extrapolation. For Mr. Timmins we have very little male data so it is difficult to predict his height accurately using a mostly female data set.

12. Bias & Errors BB’s v. Ricky’s measurements
Inconsistent shoulder and smile measuring methods
Natural smile?
More females than males