Linear Relationships Flashcards
What is discrete data?
Data that can only take specific values, such as counts
Examples include the number of boys in a class and the number of candies in a packet.
What are examples of discrete data?
- Number of boys in class
- Number of candies in a packet
- Number of suitcases lost by an airline
These are all countable quantities.
What is continuous data?
Data that can take any value within a range
Examples include height of a person, time in a race, and distance traveled by car.
What are examples of continuous data?
- Height of a person
- Time in a race
- Distance traveled by car
Continuous data can include fractions and decimals.
What is a linear relationship?
A relationship where a change in one variable results in a proportional change in another
Often represented graphically as a straight line.
What is a positive slope?
A slope where the line rises from left to right
Indicates a direct relationship between the variables.
What is a negative slope?
A slope where the line falls from left to right
Indicates an inverse relationship between the variables.
What does the equation y = mx + t represent?
A linear equation where m is the slope and t is the y-intercept
This form is used to describe linear relationships in graphs.
What is interpolation?
The process of estimating values between two known values
Useful for predicting intermediate data points.
What is extrapolation?
The process of estimating a value beyond a set of known values
Used for predicting future data points based on existing trends.
Fill in the blank: The height of a person is an example of _______.
[continuous data]
Fill in the blank: The formula for a linear equation is _______.
[y = mx + t]
