Bivariate Data Scatter Plots Learn to take bivariate

Bivariate Data & Scatter Plots Learn to take bivariate data to create a scatter plot for the purpose of deriving meaning from the data.

Focus 7 - Learning Goal #2: The student will construct, interpret and identify patterns of associations for bivariate data displayed in two-way tables and scatterplots. 4 In addition to level 3. 0 and beyond what was taught in class, the student may: Make connection with other concepts in math. Make connection with other content areas. 3 The student will construct, interpret and identify patterns of associations for bivariate data displayed in twoway tables and scatterplots. - Write equation of line-of-best-fit. And use it to make predictions. - Calculate relative frequencies and describe their meaning. 2 The student will construct scatterplots and two-way tables from bivariate data. - Draw line-ofbest-fit for scatter plot. - Identify patterns of associations. - Able to generally describe relationship of bivariate data displayed in a two -way table. 1 With help from the teacher, the student has partial success with level 2 and 3 elements. 0 Even with help, students have no success with investigating patterns of association with bivariate data.

Scatter Plot • What is a scatter plot? • A scatter plot is a graph that shows the relationship between two sets of data. • Each point on the graph is an ordered pair. (x, y) • By how the points are grouped or not grouped, you can determine if the data is related. • Types of correlation: NO CORRELATION POSITIVE NEGATIVE

Example 1: • 8 people were surveyed to find their shoe size and height. • It’s hard to see a relationship between all of this data, so lets look at it as a scatter plot. • Shoe size will be our “x” and height will be our “y. ” This will make an ordered pair.

Example 1 continued… • Plot the data from the table onto the graph. • What can you conclude from this data? • According to our data, the height of a person is related to their shoe size. • Generally, the larger the shoe size, the taller the person.

Activity: Ice Cream & Temperature Ice Cream Sales Vs. Temperature • An ice cream shop keeps track of how much ice cream they sell versus the temperature on that day. Here are their figures for the last 12 days: • What can you conclude from this data? • If we take this data and create a scatter plot, we will be able to draw a conclusion. • Each student will plot this data on a scatter plot. Temperature ˚C Ice Cream Sales 14˚ $215 16˚ $325 12˚ $185 15˚ $332 19˚ $406 22˚ $522 19˚ $412 25˚ $613 23˚ $544 18˚ $421 23˚ $445 17˚ $408

Scatter Plot… • What can you conclude from this data? • It is now easy to see that warmer weather leads to more sales.