Learning Objective: We will construct and interpret scatterplots (G8ML) Concept Development: A Scatter Plot is a graph of numerical data on two variables. Eamples: -- The number of hours ou stud for a test and the number of tet messages ou receive in a week. --The number of pounds a person weighs and how fast the can run a mile. Reading Score 7 Shoe Size 8 9 Patterns in scatter plots If ou can see the value in one variable tend to var in a predictable wa as the values of the other variable change, there is a statistical relationship. Linear Relationship Non Linear Relationship... Weight (kg) Age (ears)...... 9 Chest Girth (cm) 7. 7 Shell Length (mm) Positive trend in the data Negative trend in the data G8ML: Scatter Plots and Patterns in Scatter Plots
Guided Practice: Steps for Constructing and Analzing Scatter Plots. Read the data in the table and decide on a scale for the -ais and -ais.. Graph each point on the coordinate plane.. Make conclusions about the data based on visual observations. Graph the data points for the observations. Do ou notice a pattern? The table below consists of data collected on different car models b Toota in. Model Weight (pounds) Fuel Efficienc (MPG),, 8, 9,,7, 7, 9 8, 9,,,,,8 Fuel Efficienc (mpg) Weight (pounds) G8ML: Scatter Plots and Patterns in Scatter Plots
Is there a relationship between the price and qualit of athletic shoes? The data below are from the Consumer Reports website.! =price in dollars and! =consumer report qualit rating. Shoe Price (dollars) 7 7 8 9 8 7 7 8 8 9 7 Qualit Rating = Qualit Rating 7 8 = Price (dollars) 9 Do ou see a pattern in the scatter plot that would indicate a Some people think that the higher priced the shoes are, the better qualit the must be. What would ou sa to them? G8ML: Scatter Plots and Patterns in Scatter Plots
Below is a scatterplot that shows data collected on shoe size and scores on a reading test. Reading Score 7 Shoe Size 8 9 Describe the relationship. Is it reasonable to conclude that having bigger feet CAUSES higher reading scores? Can ou think of another eplanation for wh ou might see a pattern like this? G8ML: Scatter Plots and Patterns in Scatter Plots
Below is data on weight () and fuel efficienc () for cars. Below is a scatter plot of data on shell length () and age () for 7 lobsters... Fuel Efficienc (mpg) Age (ears)....... Weight (pounds). 7 Shell Length (mm) If the relationship appears to be linear, is it a positive or negative linear If the relationship appears to be linear, is it a positive or negative linear Below is a scatter plot of data on price () and qualit rating () for bike helmets. Below is a scatter plot from crocodiles on bod mass () and bite force (). Qualit Rating 7 Bite force (pounds) 8 8 Price (dollars) Bod mass (pounds) If the relationship appears to be linear, is it a positive or negative linear If the relationship appears to be linear, is it a positive or negative linear G8ML: Scatter Plots and Patterns in Scatter Plots
The scatter plot below was constructed using data size in square feet () and price in dollars ().,,,, Price (dollars) 8,,,, Size (square feet) Is there a pattern? Are there noticeable clusters or outliers? The scatter plot below was constructed using data on length in inches () and weight in pounds (). 7 Weight (pounds) 7 8 9 Length (inches) Is there a pattern? Are there an noticeable clusters of outliers? G8ML: Scatter Plots and Patterns in Scatter Plots
Independent Practice: Problem Set from lesson 7 Activating Prior Knowledge: NO APK Closure: Describe the relationships for each of the scatter plots below: - - - 9 8 7 Teacher Notes: Module Lesson and 7? Homework is Khan Academ Interpreting scatter plots and Khan constructing scatter plots. 7 G8ML: Scatter Plots and Patterns in Scatter Plots