Fall Semester Review

Front

What is correlation in statistics?

Back

Correlation measures the strength and direction of a linear relationship between two variables. It is quantified by the correlation coefficient, which ranges from -1 to 1.

Front

What does a correlation coefficient of r = 0.5 indicate?

Back

A correlation coefficient of r = 0.5 indicates a weak positive correlation, meaning that as one variable increases, the other variable tends to also increase, but not strongly.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph does not represent a function.

Front

What does it mean if a graph is not a function?

Back

If a graph is not a function, it means that for at least one input value, there are multiple output values, violating the definition of a function.

Front

What are infinite solutions in a system of equations?

Back

Infinite solutions occur when two equations represent the same line, meaning every point on the line is a solution to both equations.

Front

What does it mean if a system of equations has no real solution?

Back

A system of equations has no real solution when the lines represented by the equations are parallel and never intersect.

Front

How do you solve a system of equations graphically?

Back

To solve a system of equations graphically, plot both equations on the same graph and identify the point(s) where they intersect. This point(s) represents the solution(s) to the system.

Front

What is a linear equation?

Back

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run). It indicates the direction of the line.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0 in the equation of the line.