on back shelf-but do not begin. Math 8 8.9.18 Good morning! Sign into GOFO. Pick up a Grocery Graph on back shelf-but do not begin. Scatter Plots 8.SP.A.1 I can construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

AGENDA MILES. Lab-Barbie Bungee Part 2 AGENDA MILES *Lab-Barbie Bungee Part 2 *Interpreting Scatter Plot Associations *GapMinder Video Videos: https://www.youtube.com/watch?v=CWnfwZRAuaY

Barbie Bungee Task 1. Conduct Experiment 2. Complete Lab Sheet 3.  Check equation on     computer Prepare your Barbie with the number of bands based on your line of best fit for  233 cm (Make an estimate for 400 cm as well) I will drop from ladder and film with ipad.

Investigation & Data Collection Barbie Bungee Task Investigation & Data Collection http://illuminations.nctm.org/uploadedFiles/Content/Lessons/Resources/6-8/Barbie-AS-Project.pdf

Display Data in Scatterplot Barbie Bungee Task Display Data in Scatterplot (Do 3 trials per each rubber band increment) http://illuminations.nctm.org/uploadedFiles/Content/Lessons/Resources/6-8/Barbie-AS-Project.pdf

Predict and Test your Prediction How many rubberbands are needed to drop Barbie from the ladder 7 feet? (without injury) 7 feet =213 cm

Relationships-Is there a trend happening?

Cars Travelling on Interstate Is there a relationship? (trend, correlation, association) Cars Travelling on Interstate What does each dot represent? How many cars were observed in this survey/collection? 14 What’s the relationship? The more time you spend driving the further you travel. What could happen to prevent this trend? Traffic, car accident, out of gas. What would that data point look like?\? 3 hours 10 miles

What is the trend? As time has passed smoking has decreased. Why? Cancer, campaigns, taxes

Clusters & Outliers http://www.yale.edu/ynhti/curriculum/units/2008/6/08.06.09.x.html

Types of Slope-what do you remember Types of Slope-what do you remember? Take a minute to sketch and label the types of slope in your comp book. Private thinking.

How many did you Remember?

We use slope terms to describe and help make predictions for scatter plots. We call this correlation or association or relationship.

S c a t t e r p l o t s A scatter plot is a graph with points plotted to show a relationship between two sets of data. Correlation or Association describes the type of relationship between two data sets.

Strong Weak Weak Strong

Practice Correlations of Graphs https://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/scatterplots-correlation/e/constructing-scatter-plots

Given a situation, can you determine its relationship?

- size of an animal and its weight POSITIVE ASSOCIATION Examples: Positive Correlation - size of an animal and its weight - size of a soda bottle and its price As one value increases, the other increases

– speed of a runner and the time it takes to run a lap NEGATIVE ASSOCIATION Examples: 2. Negative Correlation – speed of a runner and the time it takes to run a lap As one value increases, the other decreases

– date of a person’s birthday and his/her height NO ASSOCIATION Examples: 3. No Correlation – date of a person’s birthday and his/her height - size of a soda bottle and its flavor There is no relationship between the data.

- size of an animal and its weight Foldable S c a t t e r p l o t s Examples: Positive Correlation - size of an animal and its weight - size of a soda bottle and its price 2. No Correlation – date of a person’s birthday and his/her height - size of a soda bottle and its flavor 3. Negative Correlation – speed of a runner and the time it takes to run a lap

Cause and Effect Situations: Foldable S c a t t e r p l o t s Cause and Effect Situations: The more I practice free throws, the more I will make. The more I study effectively, the higher my grades will be. Describe the correlation of each situation.

GAPMINDER World Statistics https://www. gapminder When was WWI? WWII? What happens to the graph?

The correct answer to this item is choice (C) The correct answer to this item is choice (C). About 35% of the students selected the correct answer. Looking at the scatterplot, we see that the dots tend to go from the bottom left of the plot to the top right of the plot. This means that students who read more books in February tended to read more books in March. One way to come to this realization is to select some of the dots and interpret them individually. The very first dot on the left represents a student that read 1 book in February and 3 books in March. The very last dot on the right represents a student that read 10 books in February and 11 books in March. The rest of the dots follow this same trend and therefore students who read more in February read more in March. Some students that may be familiar with a line of best fit may attempt to imagine or draw a line through the points. This line will have a positive slope, which implies that as the number of books read in February increases, the number of books read in March increases. https://locus.statisticseducation.org/professional-development/questions/by-grade/grade-8?type=prodev_multiple_choice_question&page=2