Scatter Plots Quiz: Positive Slope Trend Lines

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What type of association exists when y-values increase as x-values increase?

Negative Correlation

Inverse Relationship

No Association

Positive Correlation (correct)

Which scenario describes a negative correlation?

Temperature increases as time passes in the morning.

The amount of sunlight decreases as the sun sets.

Cost of television sets increases as the screen size increases.

The number of rainy days decreases as the season transitions into summer. (correct)

What does it mean if there is no association between two variables in a scatter plot?

There is no clear trend or relationship between the two variables. (correct)

The variables have a definite relationship.

There is a strong negative correlation.

The relationship is nonlinear.

How does one determine a trend line for a set of data in a scatter plot?

By sketching a line that best approximates the pattern of the data points. Signup and view all the answers

What can be concluded if a trend line in a scatter plot has a positive slope?

As one variable increases, the other variable also increases. Signup and view all the answers

In the context of screen size and cost of televisions, what does the slope of the trend line represent?

The amount by which cost increases for each inch of screen size. Signup and view all the answers

What type of relationship would be indicated by a scatter plot with points that are randomly distributed?

No Association Signup and view all the answers

If the data in a scatter plot appears to form a downward slope, what can be inferred?

There is a negative correlation. Signup and view all the answers

What type of correlation would the data exhibit if the scatter plot slopes downward from left to right?

Negative correlation Signup and view all the answers

Which of the following describes data points that display no association?

Data points scattered randomly without a pattern Signup and view all the answers

How is the slope of a trend line interpreted in the context of a scatter plot?

It indicates the direction and steepness of the line. Signup and view all the answers

In a scenario where the trend line does not pass through any data points, what does that indicate?

The trend line fits the general pattern of the data. Signup and view all the answers

What is the most appropriate use of a trend line in a scatter plot?

To predict future values based on existing data. Signup and view all the answers

If a scatter plot reveals a clear upward trend, what type of correlation do the data points display?

Positive correlation Signup and view all the answers

When modeling data with a trend line, what does a flat trend line indicate?

No correlation between variables Signup and view all the answers

What is typically represented on the x-axis of a scatter plot?

The independent variable Signup and view all the answers

Study Notes

Grade Level and Lesson

Grade Eight
Lesson 3-5
Student book pages 112-119
Component book pages 63-66
Topic: Scatter Plots and Lines of Fit

Objectives

Students will be able to fit a function to linear data shown in a scatter plot
Students will use fitted functions to solve problems in the context of the data
Students will interpret the slope of a trend line within the context of data

Vocabulary

Negative association
Negative correlation
No association
Positive association
Positive correlation
Trend line

Scatter Plots and Correlation

Scatter plots display relationships between two data sets
A negative association means one data set decreases as the other data set increases
A positive association means one data set increases as the other data set increases
No association indicates no clear relationship between the data sets

Model and Discuss Activity

Nicholas' scatter plot represents the relationship between screen size and cost of televisions
The only difference between the televisions is their screen size
Students need to describe the pattern in the data points, discuss the relationship between screen size and cost, and predict the cost of other TV sizes

Example 1: Understanding Association

Positive association: Temperature increases with increasing hours after sunrise
Negative association: Temperature decreases with increasing hours after sunset
No association: No correlation between hours after sunset and rainfall amount

Try It! Activities

Students need to describe the type of association for given scatter plots
These scatter plots show the relationship between different variables.

Example 2: Understanding Correlation

A scatter plot approximates a line showing a trend
A trend line illustrates the general direction of the data
Trend lines aim to fit the data as accurately as possible

Example 3: Write the Equation of a Trend Line

Trend line models the general direction of data
Balance of points above and below the line
Selecting two points provides the slope
The slope-intercept form equation is used
The trend line represents one possible solution to modelling the given data

Example 4: Interpret Trend Lines

The process of predicting future data points based on past data
Determining how changes to inputs or independent variables influence or change the output

Try It! Activities (Continued)

Questions about trend lines in slope-intercept form
Questions about data points not being on a trend line yet the trend line describing the data

Other Activities

Making scatter plots from tables

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

This quiz focuses on understanding scatter plots and lines of fit as outlined in Grade Eight Lesson 3-5. Students will learn to interpret associations between data sets and use trend lines to solve practical problems. Make sure to familiarize yourself with key vocabulary such as correlation and association.