Scatter plots y intercepts, slopes, and patterns

Scatter plots

y intercepts, slopes, and patterns

By Teresa Duppstadt

​Find the slope of the trend line the same way as you do for a line

Diff in y's/Diff in X's ​

Rise/Run​

​3.5 - 1.5/13-6 = 2/7

​

​​Slope of Trend Line

​The y intercept is where the Trend Line crosses the y axis.

Same as you did when finding the y intercept of a line.​

Y intercept = 27​

​

​​Y intercept of Trend Line

Correlations

Some text here about the topic of discussion

​Negative Correlations - y decreases while x increases

​

Positive Correlations - x and y increase

​

No Correlations - x and y are not related

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 is a line of best fit (Trend Line) used for?

• To make predictions
• To make the graph look pretty
• To connect the points

Multiple Choice

Which of the following are ways to find the rate of change?

• change in y over change in x

• rise over run

• subtract y coordinates over subtract x coordinates

• all these methods will work

Multiple Choice

the slope is -5/7, what does that mean?

• gain 5 hour of sleep for 7 cups of coffee
• lose 5 hours of sleep for 7 cups of coffee
• lose 7 cups of coffee for 5 hours of sleep
• lose 5 cups of coffee for 7 hours of sleep

Multiple Choice

Find the slope of the line.

• -5/4
• 5/4
• -4/5
• 4/5

Multiple Choice

Estimate the y-intercept of the trend line by looking at the graph.

• 2
• 1.8
• 1.2
• 0

Multiple Choice

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

• A
• B
• C
• D

Multiple Choice

The number of siblings you have and your weight would have which type of correlation? 

• Positive
• Negative
• None
• All of the above

Multiple Choice

What type of correlation (association)?
The outside temperature and the amount of layers you wear. 

• Positive correlation
• Negative correlation
• No correlation
• All of the above

Multiple Choice

What is the type of association?

• Negative

• no association

• positive

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 scatter plot show?

• positive linear association

• negative linear association

• no association

• nonlinear association

Multiple Choice

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

• graph 1

• graph 2

• graph 3

• graph 4

Multiple Choice

Which of the following lines represents the trend line for the scatter plot?

• A

• B

• C

• D

Multiple Choice

Which best describes the form of this scatterplot?

• linear
• nonlinear
• scattered

Multiple Choice

The red line represents the line of best fit for the scatter plot. How many ice cream sales are expected if the temperature is 90°?

• 55
• 0
• 103
• 100

Multiple Choice

You are analyzing a scatter plot that has a negative correlation. What is true of the of the x and y values?

• As x increases, y decreases
• As x increases, y increases
• As x decreases, y decreases

Multiple Choice

The height of students and their scores on a test.

• positive correlation
• negative correlation
• no correlation

Multiple Choice

The number of notebooks bought and the total cost.

• positive association
• negative association
• no association