Midpoint
On a number line, this is the exact middle number between 2 and 10.
What is 6?
When manually sketching a line of best fit by eye, you should try to keep an approximately equal number of points positioned in these two locations relative to your line.
What are above and below the line?
When counting on a standard coordinate grid, this is the total distance between the point (2, 1) and the point (2, 7).
What is 6 units?
This term describes two lines on a graph that run side-by-side forever and will never cross or intersect.
What are parallel lines?
This is the highest possible value for a correlation coefficient (r), showing a perfect positive line.
What is 1 (or +1)?
To find the midpoint between two numbers, you add the two numbers together and divide the total by this number.
What is 2?
In the standard slope-intercept form of a line, y = mx + b, this specific variable represents the steepness or slope of your constructed line.
What is m?
Distance on a graph is always measured as a positive value because it represents this real-world concept.
What is length (or space between two items/cannot have negative distance)?
Perpendicular lines are special because they cross each other at this exact degree angle.
What is a 90-degree angle (or a right angle)?
If a scatter plot's points form a tight, clean line pointing downward from left to right, its r-value will be close to this negative number.
What is -1?
When finding the midpoint between two coordinate points, (x_1, y_1) and (x_2, y_2), you use this specific formula to find the new (x, y) coordinate.
What is (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})?
To manually calculate the slope (m) of a line of best fit, you should pick two points directly on the drawn line and use this classic algebraic fraction formula.
What is m = \frac{y_2 - y_1}{x_2 - x_1}?
This famous geometric theorem, a^2 + b^2 = c^2, is used on a graph to help create the distance formula.
What is the Pythagorean Theorem?
If a line has a slope of 4, a line that is perfectly parallel to it must have this exact slope.
What is 4 (parallel lines have the same slope)?
If a scatter plot has an r-value of 0.02, it means the data points have this kind of relationship.
What is no correlation (or no relationship)?
If a line segment starts at (0, 0) and ends at (6, 8), these are the coordinates of its midpoint.
What is (3, 4)?
When using desmos to find the perfect line, this is the name of the tool or menu function you select. (LinReg(ax+b)
What is Linear Regression?
If you create a right triangle on a graph to find the distance between two points, this specific side of the triangle (a, b, or c) represents the actual straight-line distance.
What is side c (the hypotenuse)?
If a line has a slope of 2/3 a line that is perpendicular to it must have this "opposite reciprocal" slope.
What is -3/2
If your calculator tells you that r = 0.85, this word describes the strength of the linear relationship between the data points.
What is strong (or strong positive)?
If the midpoint of a line segment is (5, 5) and one endpoint is at (2, 5), this is the coordinate of the missing endpoint on the other side.
What is (8, 5)?
When calculating a line of best fit, this specific point on a graph—calculated by finding the average of all x-values and the average of all y-values, is guaranteed to have the line pass directly through it.
What is the mean point?
This is the complete algebraic Distance Formula used to find the length between any two coordinates (x_1, y_1) and (x_2, y_2).
What is d = sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}?
These are the two equations you get if line A is y = 3x + 1 and line B is y = 3x - 5. This word describes their relationship to each other.
What is parallel?
A scatter plot where points are completely scattered like spilled milk with no clear path). If you ran a correlation calculation on this completely random graph, the r-value would be very close to this number.
What is 0?