Metatarsus adductus (call it MA) is a turning in of the front part of the foot t

Question

Metatarsus adductus (call it MA) is a turning in of the front part of the foot that is common in adolescents and usually corrects itself. Halux abducto valgus (call it HAV) is a deformation of the big toe that is not common in youth and often requires surgery. Perhaps the severity of MA can help predict the severity of HAV. The table below gives data on 38 consecutive patients who came to a medical center for HAV surgery. Using X-rays, doctors measured the angle of deformity for both MA and HAV. They speculated that there is a positive association-more serious MA is associated with more serious HAV. Two measurements of foot deformities HAV MAHAV MA HAV MA angle angle angle angle angle angle 16 10 17 16 30 12 10 10 12 14 15 25 25 29 19 21 15 30 16 25 34 38 26 25 18 32 12 26 30 17 13 25 16 28 22 30 19 21 16 31 24 26 28 13 20 20 26 16 15 21 23 30 20 51 21 10 17 7 10 10 17 14 20 37 18 15 21 24 18 38 20 10 32

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: HAV Angle
Independent Variable: MA Angle
HAV Angle = 19.602805 + 0.34233344 MA Angle
Sample size: 38
R (correlation coefficient) = 0.30091481
R-sq = 0.090549724
Estimate of error standard deviation: 7.3472437

Parameter estimates:

Analysis of variance table for regression model:

Hence,

b1 = 0.3423

t = 1.893

df = 36

P = 0.0332

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 19.602805 3.2703012 0 36 5.9941896 <0.0001 Slope 0.34233344 0.18081897 > 0 36 1.8932385 0.0332

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