11/12 Scatterplots and Correlations

Scatterplots and Correlations

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​We will take notes on this next week but feel free to write some examples in your journal.

What is a Scatter Plot?

A graph that shows the relationship of two data sets. (copy definition into your journal)

Copy these into your notes

Multiple Choice

What is a scatter plot?

• A graph that shows the relationship of two data sets.

• A graph drawn using rectangular bars to show how large each value is.

• A graph that shows information that is connected in some way.

• A graph that shows data changing over time.

Multiple Choice

What type of correlation does this scatterplot represent?

• positive correlation

• no correlation

• negative correlation

Multiple Choice

What type of correlation does this scatterplot represent?

• positive correlation

• no correlation

• negative correlation

Multiple Choice

What type of correlation does this scatterplot represent?

• negative correlation

• no correlation

• positive correlation

Multiple Choice

What kind of correlation does this scatterplot show?

• negative correlation

• no correlation

• positive correlation

Multiple Choice

Is this a positive, negative, or no relationship?

• positive relationship

• negative relationship

• no relationship

Copy in your journal

Multiple Choice

Estimate the Correlation Coefficient.

• r = 1

• r = -0.5

• r = -1

• r = 0.5

Multiple Choice

Which of the following is the best approximation of the rvalue for the above graph?

• –1.0

• 0.0

• 0.5

• 0.9

Multiple Choice

Estimate the correlation coefficient for this scatterplot.

• A) r = -1

• B) r = 1

• C) r = 0.5

• D) r = -0.5

Multiple Choice

Estimate the correlation coefficient for this scatterplot.

• A) r = 0.5

• B) r = 1

• C)r = 0

• D) r = -1

Multiple Choice

Approximate the correlation of the scatter plot.

• r = 0

• r = 0.5

• r = -1

• r = 1

Using Scatterplots and Trendlines to Make Preditions

Use the information from the graphs to answer quesitons.

Multiple Choice

• y = 1/2x + 45

• y = 2x + 9

• y = -1/2x + 45

• y = 45x + 2

Multiple Choice

The manager of a restaurant recorded how many people were in different groups of customers and how much those groups spent on food and beverages. The scatter plot shows the data she recorded.

Based on this scatter plot, about how much money would a group of 10 people be expected to spend on food and beverages at this restaurant?

• $135

• $115

• $105

• $150

Multiple Choice

Joe works at the ABC Company. The scatter plot shows the number of hours Joe worked and the amount he earned over a span of several pay periods.

Based on the graph, what is the best prediction of the amount Joe would earn if he works 55 hours?

• $700

• $900

• $600

• $800

Multiple Choice

Make a prediction for a resting heart rate after 6 hours of exercise a week.

• 6
• 50
• 55
• 59

Multiple Choice

If the carpenter worked for 6 days, what would be the best prediction of his earnings?

• $1250

• $1500

• $1750

• $2000

Multiple Choice

Which graph shows an accurate trend line for the scatter plot?

• Graph A

• Graph B

• Graph C

• Graph D

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 180 pages. 

• 12 chapters
• 15 chapters
• 18 chapters
• 21 chapters