Obesity is associated with higher foot load that can potentially increase pain and discomfort, but little research has been done on this relationship in children and its possible effects. A graph in the article “Childhood Obesity is Associated with Altered Plantar Pressure Distribution During Running” (Gait and Posture 2018: 202–205) gave the accompanying data on x = body mass index (kg/m²) and y = peak foot pressure (kPa) while running for a sample of 42 children.

a. Construct stem-and-leaf displays of both BMI and peak foot pressure, and comment on interesting features.

b. Is the value of peak foot pressure completely and uniquely determined by BMI? Explain your reasoning.

c. Construct a scatterplot of the data. Does it appear that peak foot pressure could be predicted by a child’s body mass index? Explain your reasoning.

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X y X y X y X y X y 12.8 13.0 13.0 13.5 13.8 13.8 14.2 14.4 14.5 340 346 641 572 360 334 366 538 360 14.6 14.6 14.8 14.9 417 627 609 552 15.0 15.0 15.0 15.5 15.6 414 575 578 546 314 15.9 16.6 16.9 17.0 17.1 17.1 17.5 17.6 18.6 466 572 494 454 305 368 494 322 494 18.7 589 305 664 368 362 474 21.6 491 18.7 20.0 20.1 20.5 20.6 21.0 21.1 21.2 486 351 382 22.4 23.1 24.2 24.7 26.5 893 741 850 815 376