Plot and describe the distribution of HAV angles among young patients needing surgery for this condition. Provide an appropriate numerical summary. If there are outliers, also obtain the summary...

1. Plot and describe the distribution of HAV angles among young patients needing surgery for this condition. Provide an appropriate numerical summary. If there are outliers, also obtain the summary statistics omitting them and discuss their influence.


2. Plot and describe the distribution of MA angles among young patients needing surgery for this condition. Provide an appropriate numerical summary. If there are outliers, also obtain the summary statistics omitting them and discuss their influence.


3. Doctors speculate that the severity of MA can help predict the severity of HAV. Make a scatterplot of the data and describe the relationship between MA angle and HAV angle, including any possible outliers. If appropriate, obtain the equation of the least-squares regression line for predicting HAV angle from MA angle.


4. Do the data appear to support the doctors’ speculation? If so, how good a predictor would MA angle be? Provide a numerical measure to support your conclusion.

Extracted text: 8.7 A big-toe problem. Hallux abducto valgus (call it HAV) is a deformation of the big toe that is not common in youth and often requires surgery. 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. Doctors used X-rays to measure the HAV and MA angles of deformity (in degrees) in 38 consecutive patients younger than age 21 who came to a medical center for surgery to correct HAV.° More pronounced angles are indicative of a more serious deformity. The data appear in Table 8.2. TABLE 8.2 Angle of deformity (degrees) for two types of foot deformity HAV angle MA angle HAV angle MA angle HAV angle MA angle 28 18 21 15 16 10 32 16 17 16 30 12 25 22 16 10 30 10 34 17 21 7 20 10 38 33 23 11 50 12 26 10 14 15 25 25 25 18 32 12 26 30 18 13 25 16 28 22 30 19 21 16 31 24 26 10 22 18 38 20 28 17 20 10 32 37 13 14 18 15 21 23 20 20 26 16 a. Plot and describe the distribution of HAV angles among young patients needing surgery for this condition. Provide an appropriate numerical summary. If there are outliers, also obtain the summary statistics omitting them and discuss their influence. b. Plot and describe the distribution of MA angles among young patients needing surgery for this condition. Provide an appropriate numerical summary. omitting them and discuss their influence. there are outliers, also obtain the summary statistics c. Doctors speculate that the severity of MA can help predict the severity of HAV. Make a scatterplot of the data and describe the relationship between MA angle and HAV angle, including any possible outliers. If appropriate, obtain the equation of the least-squares regression line for predicting HAV angle from MA angle. d. Do the data appear to support the doctors' speculation? If so, how good a predictor would MA angle be? Provide a numerical measure to support your conclusion.