What is a linear regression equation?
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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear regression equation is a mathematical representation of the relationship between two variables, typically in the form y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
How do you calculate the slope in a linear equation?
Back
The slope (m) is calculated by taking the change in y (rise) divided by the change in x (run) between two points on the line.
3.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear equation?
Back
The y-intercept is the value of y when x is 0, representing the point where the line crosses the y-axis.
4.
FLASHCARD QUESTION
Front
What is an inequality?
Back
An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.
5.
FLASHCARD QUESTION
Front
How do you solve the inequality -4x + 10 ≥ 5x + 55?
Back
To solve, first isolate x: -4x - 5x ≥ 55 - 10, which simplifies to -9x ≥ 45. Dividing by -9 (and flipping the inequality) gives x ≤ -5.
6.
FLASHCARD QUESTION
Front
What does the solution set represent in an inequality?
Back
The solution set is the set of all values that satisfy the inequality, indicating which values make the inequality true.
7.
FLASHCARD QUESTION
Front
What is the difference between strict and non-strict inequalities?
Back
Strict inequalities (<, >) do not include the boundary point, while non-strict inequalities (≤, ≥) do include the boundary point.
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