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The Tootsie / Jolly Rancher Pop Dilemma

The Tootsie / Jolly Rancher Pop Dilemma.

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The Tootsie / Jolly Rancher Pop Dilemma

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  1. The Tootsie / Jolly Rancher Pop Dilemma Have you ever wondered how many Tootsie or Jolly Rancher Pops you could pick up with one hand? If you had a bigger hand, might you be able to pick up even more candy? Have you ever envied the bigger kids at Halloween? In fact, did you ever think you might be able to predict how much candy a person could pick up? What are some factors which might determine how much candy a person can pick up?

  2. The Tootsie / Jolly Rancher Pop Dilemma The goal of this project is to investigate if there is a relationship between the size of a person’s hand and how many Tootsie/Jolly Rancher Pops that person can pick up. Procedural Issues: 1. Some people have a larger and/or stronger dominant hand. You must decide as a class, which hand will each person use: the left, the right, the dominant hand, or the weak hand? 2. Hand span refers to the distance between the tip of your thumb and the tip of your pinkie. You must agree as a class, how will you measure hand span: with all five fingers outstretched, or with the middle three fingers tucked in? 3. Finally, what units will you use to measure hand span: inches, centimeters, or something else? Why are questions 1-3 important?

  3. The Tootsie / Jolly Rancher Pop Dilemma Data collection & summary: Each person should measure his or her hand span according to the rules the class agreed upon. Record your group’s data below. Be sure to include units on hand span. Hand span:__________ # of Tootsie Pops: __________ Gender: ________ How might the class determine if a relationship exists? Which is the independent variable and which is the dependent variable for this experiment?

  4. The Tootsie / Jolly Rancher Pop Dilemma Given the scatterplot of the data, model a line of best fit for this relationship. Do the values of the intercept and slope make sense in this exploration? How many Tootsie Pops would a person with a 22cm hand span be able to pick up? What about a person with a 27cm hand span? Are these estimates or actual values? Which is more reliable?

  5. The Tootsie / Jolly Rancher Pop Dilemma Repeat the steps 1—4 with Starburst Candies. Is using a linear approximation the best model for this data? What are the significant differences between the data for the Tootsie/Jolly Rancher Pops and the Starburst Candies? Why might these differences exist? If the data was separated by gender, would the models have greater or lesser predictive value? If following relationships were added to the model, how would they influence the model: (HandSpan = 16, # = 14) and (HandSpan = 27, # = 32)? (HandSpan = 21, # = 17) and (HandSpan = 22.5, # = 23)?

  6. The Tootsie / Jolly Rancher Pop Dilemma Answer the following questions in your math journal: When a scatter plot is examined, what are some indicators that the relationship is linear? If “hand span” had been measured in different units, would there be changes to the slope and y-intercept? Some people believe that larger the number people that participate in the study, the better the results. Do you believe this is always true…why or why not?

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