Going Fishing

Lake Fishing in Idaho Who has ever been lake fishing in Idaho? What is it like? What do you fish for?

Lake Fishing in Idaho CJ Strike Anderson Ranch

Essential Question Which fishing hole gives bass fisherman the best chance of catching their limit of fish?

Bins of Beans How can we answer this question with this “lake,” these “fish,” and your “fishing holes”? Gather some data about your fishing holes.

Guiding Questions How likely is it that you limit out on bass (6) for the day from either lake’s fishing holes? Is one of your fishing holes better than the other? How do you know? Given that you limit out on bass for the day, how likely is that you are fishing in CJ Strike? Anderson Ranch? Goal: introduce two-way tables and stacked bar graphs - both frequency and relative frequency One idea is to have the conditional frequencies be given and then asking what statements can be said about the data?

Guiding Questions 4. How does your best fishing hole compare to your classmates’? How would we answer this question? Goal: introduce two-way tables and stacked bar graphs - both frequency and relative frequency One idea is to have the conditional frequencies be given and then asking what statements can be said about the data?

Visualizing Our Data One way to visualize bivariate categorical data is in a stacked bar graph. NCTM Core Math Tools Demo Goal: introduce two-way tables and stacked bar graphs - both frequency and relative frequency One idea is to have the conditional frequencies be given and then asking what statements can be said about the data?

Answering the Essential Question Which fishing hole gives bass fisherman the best chance of catching their limit of fish?

Bivariate Categorical Data Analysis NOTES: Bivariate Categorical Data Analysis

Bivariate Categorical Data Analysis In the Going Fishing Task, you will: Create a relative frequency table from your sample data with: Rows: Anderson Ranch and CJ Strike Columns: Did not Limit (<6), Did Limit (≥ 6) Calculate the marginal and joint relative frequencies for your table. Calculate the conditional relative frequencies for your table. Brainstorm at tables - 2 minutes

Example: 40 Simulations of Invasive Weeds Two-Way Frequency Table Joint & Marginal Relative Frequencies Spread of weeds in Freeland Less than 10 cells in 5 years 10 or more cells in 5 years Total Cheatgrass 13 7 20 Medusahead 5 15 18 22 40 Spread of weeds in Freeland Less than 10 cells in 5 years 10 or more cells in 5 years Total Cheatgrass 13/40 7/40 20/40 Medusahead 5/40 15/40 18/40 22/40 40

Example: 40 Simulations of Invasive Weeds Conditional Relative Frequencies Spread of weeds in Freeland Less than 10 cells in 5 years 10 or more cells in 5 years Total Cheatgrass 13/18 7/22 20 Medusahead 5/18 15/22 18 22 40 Spread of weeds in Freeland Less than 10 cells in 5 years 10 or more cells in 5 years Total Cheatgrass 13/20 7/20 20 Medusahead 5/20 15/20 18 22 40 What are all the statements you can come up with related to these tables?

Data Talk Considering the weeds example, what statements can you make regarding the joint, marginal, and conditional relative frequencies?