Use Linear Models to Make Predictions

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Mathematics
•
8th Grade
•
Hard
+1
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a linear model?
Back
A linear model is a mathematical representation of the relationship between two variables that can be expressed as a straight line on a graph, typically in the form of the equation y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What does the slope of a line represent in a linear model?
Back
The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a one-unit increase in x.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What is a positive slope?
Back
A positive slope indicates that as the independent variable (x) increases, the dependent variable (y) also increases, resulting in an upward trend on a graph.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
What is a negative slope?
Back
A negative slope indicates that as the independent variable (x) increases, the dependent variable (y) decreases, resulting in a downward trend on a graph.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
What does a slope of zero indicate?
Back
A slope of zero indicates that there is no change in the dependent variable (y) as the independent variable (x) changes, resulting in a horizontal line on a graph.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
How can you determine if a scatter plot shows a linear relationship?
Back
A scatter plot shows a linear relationship if the points roughly form a straight line, either increasing or decreasing, without significant deviation from that line.
Tags
CCSS.8.F.A.3
7.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear equation?
Back
The y-intercept is the value of y when x is equal to zero. It is the point where the line crosses the y-axis.
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