EOC Review: Scatter Plots & Correlation

Presentation

•

Mathematics

•

9th - 12th Grade

•

Hard

•

CCSS

HSS.ID.B.5, 6.NS.B.3, 8.EE.B.5

+10

Standards-aligned

Amy Warner

Used 4+ times

FREE Resource

10 Slides • 35 Questions

A scatter plot is a graph that is used to show data between two variables, also known as bivariate data.

For ex: height and weight.

Scatter plots show patterns, trends, and correlations between variables that could impact each other.

Scatter Plots

Positive Association	Negative Association	No Correlation
Both variables are increasing.	One variable is increasing, the other is decreasing.	There is no relationship between the variables.

Types of Correlation

Multiple Choice

What type of correlation does this graph have?

positive

negative

none

all of the above

Multiple Choice

What is the correlation?

Negative correlation

No correlation

Positive correlation

Scatter Plots can be described as linear and non-linear models. They are not perfectly linear or non-linear but they follow a trend.

Linear vs. Non-linear Models

Match

Match the following

Non-linear Correlation

No Correlation

Positive, Linear Correlation

Negative, Linear Correlation

Multiple Choice

Which scatter plot shows a linear relationship between x and y?

Graph A

Graph B

Graph C

Graph D

Correlation tests for a relationship between two variables. However, seeing two variables moving together does not necessarily mean we know whether one variable causes the other to occur. This is why we commonly say “correlation does not imply causation.”

Study Time and Grades

As study hours increase, grades increase. There is a positive correlation between hours and grades.

So....Do hours spent studying cause higher grades?

Ice Cream Sales and Shark Attacks

As ice cream sales increase, shark attacks increase. As ice cream sales decrease, shark attacks decrease.

So....ice cream sales cause shark attacks?

5G and COVID cases

There is a correlation between areas with 5G and high COVID cases.

So......Does 5G cause COVID?

Multiple Choice

This implies that one variable has a direct affect on the other variable.

Correlation

Causation

Multiple Choice

Correlation or Causation?

The number of times you come to tutoring and your test scores improving

Correlation

Causation

Multiple Choice

Correlation or Causation?

The inches of snowfall and the number of heart attacks

Correlation

Causation

Outliers	Clusters
An outlier is a data point in a scatter plot that does not follow the trend of the data.	A group of data points that are closely grouped together.

outlier

cluster

Multiple Choice

What are the coordinates of the outlier?

(1,9)

(9,1)

(2,2)

y=x

To show the overall trend of a data set, we can use a Line of Best Fit.

A line of best fit should:

Follow the trend of the data
Split the data in half
Help to estimate or predict values that are not already given in the set.

Line of Best Fit

Multiple Choice

Which of the following lines represents the line of best fit for the scatter plot?

Multiple Choice

Which of the following lines represents the line of best fit for the scatter plot?

Correlation coefficient (r) formulas are used to find how strong a relationship is between data. The formulas return a value between -1 and 1, where:

1 indicates a strong positive relationship.
-1 indicates a strong negative relationship.
A result of zero indicates no relationship at all.

Multiple Choice

Estimate the correlation coefficient for this scatterplot.

A) r = 1.2

B) r = 0.89

C)r = 0

D) r = -0.89

Multiple Choice

Estimate the correlation coefficient for this scatterplot.

A) r = -0.9

B) r = 1

C) r = 0.9

D) r = -1

Multiple Choice

Average time spent listening to music per day and average time spent watching TV per day. $r=-.17$

strong positive

strong negative

weak positive

weak negative

Multiple Choice

Score on science exam and number of words written on the essay question. $r=.28$

strong positive

strong negative

weak positive

weak negative

Multiple Choice

Number of steps taken per day and number of kilometers walked per day. $r=.92$

strong positive

strong negative

weak positive

weak negative

Multiple Choice

What type of correlation does this scatter plot show?

positive

negative

no correlation

nonlinear association

Multiple Choice

Which sentence describes the relationship shown on this scatter plot?

As the temperature decreases, the visitors increase.

As the temperature increases, the number of visitors increases.

As the visitors increase, the temperature decreases.

No correlation

Multiple Choice

What type of association does this graph have?

positive

negative

none

all of the above

Multiple Choice

What type of association does this graph have?

positive

negative

none

all of the above

Multiple Choice

What represents the x axis?

ABC Company

Hours Worked

Amount Earned in Dollars

Hours in Car

Multiple Choice

What represents the y axis?

ABC Company

Hours Worked

Amount Earned in Dollars

Hours in Car

Multiple Choice

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 140 pages.

12 chapters

19 chapters

14 chapters

21 chapters

Multiple Choice

About how many male math teachers were there in 2006?

Multiple Choice

What is a line of best fit used for?

To make predictions

To make the graph look pretty

To connect the points

To make it look like you know what you are doing

Multiple Choice

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

Multiple Choice

Which of the following lines represents the line of best fit for the scatter plot?

Multiple Choice

Based on the graph, if Joe earned $400, how many hours did he work?

25 hours

35 hours

45 hours

15 hours

Multiple Choice

Which graph has no association?

Multiple Choice

Which graph has a positive association?

Multiple Select

Which graphs has a negative association?

Drag and Drop

1. Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam?

Drag these tiles and drop them in the correct blank above

Drag and Drop

Choose the graph with a trend line that best fits the data.

Drag these tiles and drop them in the correct blank above

graph 1

graph 2

graph 3

graph 4

Multiple Choice

The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?

A. 50 min

B. 80 min

C. 45 min

D. 60 min

Multiple Choice

What is the age of the tree that is 8 feet tall?

6 Years

7 Years

8 Years

9 Years

Multiple Choice

What is the correlation between length of running start and distance of jump?

positive: the further you run the further you jump

negative: the less you run the less distance of your jump

positive: the further your running start the less your distance

A scatter plot is a graph that is used to show data between two variables, also known as bivariate data.

For ex: height and weight.

Scatter plots show patterns, trends, and correlations between variables that could impact each other.

Scatter Plots

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