Question

model 3 – more examples of graphs
graph d
bar graph: chocolate candy colors, x - axis: blue, brown, green, orange, red, yellow; y - axis: average number of candies in bag
graph e
scatter plot: leg length vs. sprint time, x - axis: leg length (cm), y - axis: sprint time (sec)

1. identify the independent variable and dependent variable for each of the graphs in model 3.

table with graph d and graph e, rows: independent variable, dependent variable

1. match the experimental questions below to the appropriate graph from model 3.

a. “is the number of candies in a bag of chocolates dependent on the color of the candy?”
graph ______
b. “does the length of a person’s leg affect the time it takes them to sprint 60 yards?”
graph ______

1. why was the data for graph d plotted in a bar graph?

1. using the graphs in model 2 and model 3 as examples of proper graphs, identify the axis (x or y) where you would usually plot the independent variable.

Explanation:

Question 11

Step1: Analyze Graph D

Graph D is about Chocolate Candy Colors (x - axis) and Average Number of Candies in Bag (y - axis). The independent variable is the one that is manipulated or is the cause, so for Graph D, the independent variable is the candy color (since we are looking at how the number of candies depends on color). The dependent variable is the average number of candies (as it depends on the color).

Step2: Analyze Graph E

Graph E is about Leg Length (x - axis) and Sprint Time (y - axis). The independent variable is leg length (we are seeing if sprint time depends on leg length), and the dependent variable is sprint time (as it depends on leg length).

Step1: Analyze part (a)

The question "Is the number of candies in a bag of chocolates dependent on the color of the candy?" is about candy color and number of candies, which matches Graph D (Chocolate Candy Colors and Average Number of Candies).

Step2: Analyze part (b)

The question "Does the length of a person’s leg affect the time it takes them to sprint 60 yards?" is about leg length and sprint time, which matches Graph E (Leg Length vs. Sprint Time).

Step1: Recall Bar Graph Use

Bar graphs are used to compare different categories (discrete data) where the independent variable is categorical (non - numerical or discrete categories). In Graph D, the independent variable is candy color (categories: blue, brown, green, etc.), which are discrete categories. We use bar graphs to show the relationship between a categorical independent variable and a numerical dependent variable, as it allows easy comparison of the dependent variable across different categories.

Answer:

	Graph D	Graph E
Dependent Variable	Average Number of Candies in Bag	Sprint Time (sec)

Question 12