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Categorical Variables in Scatterplots. Section 3.1.2. Starter 3.1.2. Write one example of a random variable that you think would have a normal distribution (other than rolling two dice). Write why you think it would be approximately normal.

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starter 3 1 2
Starter 3.1.2
  • Write one example of a random variable that you think would have a normal distribution (other than rolling two dice). Write why you think it would be approximately normal.
  • Write one example of a different random variable that you think would have a uniform distribution (other than rolling one die). Write why you think it would be approximately uniform.
today s objectives
Today’s Objectives
  • Students will construct and interpret a scatterplot with 3 variables, one of which is categorical
return to the sanchez data
Return to the Sanchez data
  • Yesterday you looked at 16 months of data showing gas usage as a function of degree-days (coldness).
    • You stored the data in lists GASDA and GASFT
  • Now suppose that the Sanchez family decided to add solar heating to their house and collected more data.
  • I have stored the new data in two lists called GASD2 (degree-days) and GASF2 (100 cu. ft. used)
    • Link calculators and get these data from me.
    • I’m also giving you: MASSF, MASSM, METF, METM for use in the next activity
display the new scatterplot
Display the new scatterplot
  • Set Plot 1 in your calculator to show a scatterplot of GASDA and GASFT.
  • Set Plot 2 to show a scatterplot of GASD2 and GASF2.
  • Tap Zoom 9 to see the display.
  • Can you tell which points represent the new data AFTER solar panels were put in?
    • Probably not, so change the mark in Plot 2 to a plus instead of a box
  • Write a brief verbal description of the difference between the two plots.
    • What do you conclude in the context of this problem?
slide6
Both graphs have strong positive linear relationships, but the “plus” graph has a lower slope which means that as the months get colder, the gas usage goes up more slowly with solar panels than without.
classwork activity problem 3 9 page 120
Classwork ActivityProblem 3.9, page 120
  • Does body mass affect metabolic rate? Is there a difference by gender? The data are in the lists I gave you:
    • MASSM is the body mass of 7 men
    • METM is the metabolic rate of those men
    • MASSF and METF are the data for 12 women
  • Make a scatterplot on the TI of the men’s data
  • Add a scatterplot of the women’s data
  • Write a paragraph that describes each association and any differences between them
today s objectives1
Today’s Objectives
  • Students will construct and interpret a scatterplot with 3 variables, one of which is categorical
homework
Homework
  • Read pages 117 – 122
  • Do problems 10 – 13, 17