MFM2P 3.1 Interpreting Scatter Plots Name:
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1 Learning Goals To use a scatter plot to compare variables To identify the independent and dependent variables in a relationship and on a graph To identify outlying data that does not follow the trend of the rest of the data To identify trends in data as upward and positive or downward and negative Success Criteria ü I can compare variables using by examining the data on a scatter plot ü I can determine which variable is independent and which variable is dependent ü I can identify outlying data by examining a scatter plot ü I can describe a trend as upward and positive or downward and negative. Key terms: Relate the key terms to the scatter plot on the right. SCATTER PLOT: a graph of plotted points that shows if there is a relationship between two variables RELATIONSHIP: A pattern formed by two sets of numbers INDEPENDENT VARIABLE: affects the dependent variable graphed along the x-axis (horizontal) The variable that is known DEPENDENT VARIABLE: the variable that is affected when the independent variable is changed graphed along the y-axis (vertical) OUTLYING DATA: data points that do not follow the rest of the data Investigation:
2 1. The horizontal axes represents 2. The vertical axes represents 3. Describe the information you know about giraffes from looking at the scatter plot. 4. Identify the animal that fits each description a. the lightest birth weight b. the heaviest adult weight c. the greatest difference between birth and adult weights 5. The average weight of a human baby at birth is 3.4 kg. Could you use the graph to estimate the adult weight of a human? Explain your thinking.
3 Example 1: Identify Related Variables a. The scatter plot shows the daily rainfall for one week. What are the independent and dependent variables? Label them on the scatter plot: b. Identify the independent and dependent variables for this situation: The goals that you score and the number of hours your practice. dependent variable: independent variable: c. identify the independent and dependent variables for this situation: The amount of sunlight grass receives and its height. dependent variable: independent variable: e. The scatter plot shows the relationship between arm span and height. What is the independent variable? What is the dependent variable? Identify the outlying data.
4 Example 2: Describe Relationships Using a Scatter Plot What does this scatter plot show us? independent/dependent? specific points, ex: (6:00, 1.8) after 7pm? trend? relationship?
5 Describe Relationships Using a Scatter Plot The scatter plot shows the relationship between the profit from school dances and the number of days of advertising. a. What is the dependent variable? Label it on the scatter plot. b. What is the independent variable? Label it on the scatter plot. c. What does the point (5, 608) tell you? d. What do the points below the horizontal axis represent? e. Which points represent dances with fewer than 5 days of advertising and less than $500 profit? f. Describe the trend. Circle the one that looks has the same trend. g. Describe the relationship between the number of days of advertising and profit. h. Is there any outlying data? Explain your answer. i. Would it be reasonable to extend the trend to predict the profit when a school dance is advertised over a 10 day period? Explain why/why not.
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